Introduction To Loop Quantum Gravity

In summary, Loop Quantum Gravity (LQG) is the attempt to unify General Theory of Relativity and Quantum Mechanics. This is a challenging task as these two theories have different foundations - position is uncertain in Quantum Mechanics due to the Heisenberg principle, while it is not the case in General Theory of Relativity. In order to quantize the GTR, gauge fields on a manifold are needed and must be quantized. This requires obeying two laws - diffeomorphism invariance and gauge invariance. Mathematicians like Gauss and Riemann have taught us that a manifold is described by connections, with the most familiar example being the metrical connection. In LQG, all possible metrics were initially used
  • #106
Thomas Thiemann's landmark LQG survey

I think he did a good job. AFAICS.
Lubos Motl immediately attacked him with resounding snorts of contempt. hee hee.

Hans Kastrup, a mentor to both Thiemann and Bojowald, had been urging Thomas to write a reply and rebuttal to Herman Nicolai's "Outsider View" paper. So Thiemann called this an "inside" view.

http://arxiv.org/abs/hep-th/0608210
Loop Quantum Gravity: An Inside View
Thomas Thiemann
58 pages
Report-no: AEI-2006-066

"This is a (relatively) non -- technical summary of the status of the quantum dynamics in Loop Quantum Gravity (LQG). We explain in detail the historical evolution of the subject and why the results obtained so far are non -- trivial. The present text can be viewed in part as a response to an article by Nicolai, Peeters and Zamaklar [hep-th/0501114]. We also explain why certain no go conclusions drawn from a mathematically correct calculation in a recent paper by Helling et al [hep-th/0409182] are physically incorrect."
 
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Physics news on Phys.org
  • #107
this might turn out to be a useful resource for people interested in learning about LQG

http://relativity.phys.lsu.edu/ilqgs/
International Loop Quantum Gravity Seminar

"This is a seminar on research ... Tuesday at 9am (US Central Time). Audio is distributed via telephone. Slides of the talks are posted in advance here. Talks are recorded and the audio posted here. Among the groups that participate live are PennState, Perimeter Institute, Marseille, AEI-Potsdam, Utrecht, UNAM-Mexico, FUW-Poland, LSU. Others may join soon. Unfortunately, the phone bridge we have has a limited number of lines so we cannot open live participation to everyone. If your group wishes to participate, please write to pullin@lsu.edu You are welcome to join the mailing list."

Seminar Schedule Fall 2006
http://relativity.phys.lsu.edu/ilqgs/schedule.html [Broken]

Tuesday Sept. 19
LQG FAQ Abhay Ashtekar PennState

Tuesday Sept. 26
Spinfoam graviton propagator: introduction Carlo Rovelli CPT Marseille

Tuesday Oct. 3
Spinfoam graviton propagator Simone Speziale PI

=================

this is a new thing, as of now they have an archive of audio and PDF slides from 3 or 4 past talks and just a few future talks scheduled
 
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  • #108
  • #109
someone watching non-string QG might want to have this link to Utrecht ITP
http://www1.phys.uu.nl/wwwitf/ [Broken]
and in particular to consult this page
http://www1.phys.uu.nl/wwwitf/People/Postdocs.htm
(some postdocs: Artem Starodubtsev, Frank Saueressig, Joe Henson, Hanno Sahlmann, possibly Daniele Oriti)
==========
this gives a window on the QG group's seminars at Nottingham
http://www.maths.nottingham.ac.uk/QG/seminars.html [Broken]
Fall term begins 15 September
PF poster "fh" may be starting there this Fall.
(main people: John Barrett, Kirill Krasnov)
 
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  • #110
  • #111
The University of Nottingham Maths department has a new website
http://www.maths.nottingham.ac.uk/wp/2006/09/ [Broken]

the link I gave in post #109 no longer works.
a new link to the programme in Quantum Geometry and Gravity is

http://www.maths.nottingham.ac.uk/qg/

Note that PF poster "fh" who just did his Masters with Rovelli at Marseille has gone to Nottingham for PhD.
Nottingham has John Barrett (Barrett-Crane spinfoam model) and Kirill Krasnov (group field theory, with L. Freidel).
Barrett got an important result in Non-Commutative Geometry the same time Alain Connes did, this summer.

the links may continue to change, please let me know if these cease working. I want to be able to keep track of what seminar talks they have in the
Nottingham "Quantum Geometry and Quantum Gravity" program.
(there appears to be some connection with the European Science Foundation---does the ESF officially have a QGQG programme?)

the Nottingham QGQG page says:
"Loop Quantum Cosmology
Loop Quantum Cosmology gives a description of the big bang at the beginning of the universe.
Quantum Groups
Quantum groups enable the calculation of this Feynman diagram coupled to 3d quantum gravity. It shows the diagram is knotted.
Quantum Gravity
The black hole in galaxy NGC 4261 pulls in surrounding dust. The challenge is to describe a black hole according to the laws of quantum mechanics."

I see, John Barrett is the chairman of the governing committee of the european-wide QGQG program, the committee is listed here:
http://www.maths.nottingham.ac.uk/qg/AboutQG.html

Here is the list of QG seminars but so far it is from LAST term (spring 2006):
http://wwwold.maths.nottingham.ac.uk/QG/seminars.html [Broken]
 
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  • #112
the Utrecht QG team has been expanded
http://www1.phys.uu.nl/wwwitf/People/Postdocs.htm
Daniele Oriti has joined the research group there

Here are some of the postdocs now at Utrecht
Dr. Joe Henson
Dr. Daniele Oriti
Dr. Irina Pushkina
Dr. Hanno Sahlmann
Dr. Frank Saueressig
Dr. Artem Starodubtsev
 
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  • #113
marcus said:
update on the numbers given earlier
2001---868
2002---843
2003---817
2004---668
2005---704
2006---649
===============
update on the QG group at Utrecht
http://www.phys.uu.nl/~loll/Web/group/group.html

Renate Loll lists 8 students (Masters and PhD) plus these postdocs in her group:

Daniele Oriti
Irina Pushkina
Hanno Sahlmann
Artem Starodubtsev
Joe Henson

the main directory for the Utrecht ITF has more information

http://www1.phys.uu.nl/wwwitf/People/Postdocs.htm
 
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  • #114
  • #115
Rothiemurchus said:
The challenge for string theorists and LQG theorists is to explain why the vacuum energy exists at 10^120 J/m^3 ( there is no reason to think there is anything wrong with the QM calculation) but does not curve space-time.How can
quantum gravity be proved if gravity is not understood on its own yet?
It is very simple why it doesn't curve space-time. The cosmological constant term should simply not be present in the Einstein Field equations. It is a big mistake.
 
  • #116
update on the ILQGS

marcus said:
this might turn out to be a useful resource for people interested in learning about LQG

http://relativity.phys.lsu.edu/ilqgs/
International Loop Quantum Gravity Seminar

"This is a seminar on research ... Tuesday at 9am (US Central Time). Audio is distributed via telephone. Slides of the talks are posted in advance here. Talks are recorded and the audio posted here. Among the groups that participate live are PennState, Perimeter Institute, Marseille, AEI-Potsdam, Utrecht, UNAM-Mexico, FUW-Poland, LSU. ...
Seminar Schedule Fall 2006
http://relativity.phys.lsu.edu/ilqgs/schedule.html [Broken]

Tuesday Sept. 19
LQG FAQ Abhay Ashtekar PennState

Tuesday Sept. 26
Spinfoam graviton propagator: introduction Carlo Rovelli CPT Marseille

Tuesday Oct. 3
Spinfoam graviton propagator Simone Speziale PI

Winston Fairbairn Fermions in 3D spinfoam QG 7 november

Bianca Dittrich Approximate Observables 28 november

more:
http://relativity.phys.lsu.edu/ilqgs/schedulefa06.html
==================

Spring 2007 schedule starts 8 February, nothing lined up yet
 
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  • #117
Table of Contents for Dan Oriti's book

Christine blogged for exactly one year and did very nicely at it. One of the last blogs was an invited contribution from Daniele Oriti. He gives a draft table of contents for his book, supposed to come out early 2007.

[/b]Approaches to Quantum Gravity: Towards a New Understanding of Space Time and Matter[/b]

In the book he puts together writings by some 20 or so authors and has Q&A discussion with them at the end of each section. The table of contents can be thought of as giving an overview or schematic picture of current state of QG. I will copy Oriti's guest contribution here, for ready access, in case any of us want to refer to it.

===Daniele Oriti November 2006 at Christine's Background Independence===

Invited contribution: Daniele Oriti

Hi Christine,

Thanks once more for the invitation to contribute to your blog. And, once more, let me congratulate for its well-deserved success, so: happy blog-birthday and keep up the good work!

So, you suggested I could write about the book I am editing (Approaches to quantum grvity: towards a new understanding of space, time and matter) and that is going to be published by C.U.P.

Ok.The idea is to present an overview of most of the current approaches to quantum gravity, through a collection of introductory papers and reviews each devoted either to one of them or to one particular aspect of one of them. If you are interested, the exact (but provisional, as for the sectioning) table of content is as follows:

- Foreword; Daniele Oriti

-- Ideas and general formalisms

* Unfinished revolution; Carlo Rovelli
* The fundamental nature of space and time; Gerardus 't Hooft
* Choice of variables and initial value problems in classical General
* Relativity: prolegomena to any future Quantum Gravity; John Stachel
* Non-locality in Quantum Gravity; Rafael Sorkin
* Spacetime symmetries in histories canonical gravity; Ntina Savvidou
* Categorical geometry and the mathematical foundations of quantum gravity; Louis Crane
* Holography: a keystone of any quantum gravity theory? Rafael Bousso
* Questions and Answers

-- String/M-Theory

* Gauge/Gravity duality; Gary Horowitz and Joe Polchinski
* String theory, holography and quantum gravity; Tom Banks
* String field theory; Washington Taylor
* Mirror symmetry and quantum gravity; Brian Greene
* Questions and Answers

-- Loop Quantum Gravity

* Loop Quantum Gravity; Thomas Thiemann
* Towards a covariant loop quantum gravity; Etera Livine
* Questions and Answers

-- Spin Foam Models

* The spin foam representation of loop quantum gravity; Alejandro Perez
* 3-dimensional spin foam quantum gravity; Laurent Freidel
* The group field theory approach to Quantum Gravity; Daniele Oriti
* Questions and Answers

-- Discrete Quantum Gravity

* Quantum Gravity, or The Art of Building Spacetime; Renate Loll, J. Jurkiewicz and Jan Ambjorn
* Quantum Regge calculus; Ruth Williams
* Consistent discretizations as a road to quantum gravity; Rodolfo Gambini and Jorge Pullin
* Questions and Answers

-- Causal Sets

* The causal set approach to Quantum Gravity; Joe Henson
* Towards gravity from the quantum; Fotini Markopoulou
* Questions and Answers

-- Other approaches

* Quantum gravity and precision tests; Cliff Burgess
* Asymptotic safety; Roberto Percacci
* Emergent General Relativity; Olaf Dreyer
* Questions and Answers

-- Effective models and Quantum Gravity phenomenology

* Quantum Gravity phenomenology; Giovanni Amelino-Camelia
* Algebraic approach to quantum gravity II: noncommutative spacetime; Shahn Majid
* Effective non-commutative models of quantum flat spacetime; Florian Girelli
* Doubly special relativity; Jurek Kowalski-Glikman
* Lorentz invariance violation and its role in quantum gravity phenomenology; Daniel Sudarsky, John Collins and Alejandro Perez
* Generic predictions of quantum theories of gravity; Lee Smolin
* Questions and Answers

Most of the contributed papers are ready, four of them are still missing (I am not going to tell which ones!), but should be ready soon (hopefully). Some of the papers (around 15 o so out of 30) are available online on the archives. I would say we are almost there...I expect the whole thing to be ready in the beginning of 2007, included all the editing work etc, and to be published soon after. But that depends also on the CUP and I am not sure of their timetable.

Oveall I am quite happy with it. I think it is going to fulfill its scope and motivations, which were (at least for me): a) to show how active and diverse is quantum gravity research at present, and that there is a variety of approaches being pursued, and lots of new work, new ideas (radical, speculative and solidly grounded in physics and mathematics at the same time), new directions and results (some partial but suggestive, some well-established, some surprising); b) to provide a comparative perspective on what's going on in the field; to foster not only this comparative perspective, but also, possibly, future collaboration ad 'cross-fertilisation' among different approaches; c) to allow newcomers and students as well as whoever is interested in the subject to be introduced nicely to it. Ultimately, and most importantly, d) to show that this stuff is fun and exciting to work on and to read about!

You may have noticed the Q&A sections at the end of each part. The idea is that authors can ask questions to each other, put forward comments and criticisms, and get/give answers. The aim is twofold: first, to improve the comparative aspect of the book, in that possible difficulties of the various approaches could be pointed out if not already discussed in the papers, and to present additional ideas and points of view that can be relevant for a given approach, but maybe originated or suggested by another; second, to give an example of how research progresses: out of discussions, criticisms, debate, indeed, questions and answers...This part is being prepared, and I really hope it is going to be rich in content and useful.

I enjoyed reading all the papers, and the Q&A, received so far, so I hope other readers will enjoy them to, and find the whole thing useful. Ultimetely, we don't know yet what quantum gravity is, how long it is going to take still to find out (not much, I hope!), and which, if any, of all these approaches will be found to be the closest to the final theory. It is well possible that none of them, as they are currently understood, matches reality as it will look once we have understood more of it; I wouldn't be too surprised. However, I also believe that we can learn a lot from all of them, and that the final theory will involve aspects (formalisms and techniques, ideas, motivations, results, we don't know yet) of many, if not all, of them. If this is the case, this book may be of help.
====end quote===
 
  • #118
some links to the Harvard abstract search tool:
these are for the whole year, in six successive years
keywords = superstring, M-theory, brane, heterotic, AdS/CFT

2001: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2002: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2003: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2004: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2005: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2006: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

the last is still accumulating publications
(additional entries may also show up in earlier years if they come to the librarian's attention belatedly)

the present gross annual publication counts are
1207, 1192, 1107, 1048, 1062, 839 (this last only goes halfway thru November so is bound to increase substantially)
 
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  • #119
some more links to the Harvard abstract search tool:
these are for the whole year, in four successive years
keywords = superstring, worldsheet, M-theory, brane, heterotic, AdS/CFT

2003: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2004: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2005: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2006: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

the last is still accumulating publications since the year is not over---this is as of 20 December

3246, 3153, 3132, 2958

(additional entries may also show up in earlier years if they come to the librarian's attention belatedly)
 
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  • #120
Francesca alerted us to the QGQG school taking place in March and April at a mountain resort in Poland.
=============
QGQG stands for Quantum Geometry and Quantum Gravity
Formulations of Quantum Gravity based on quantum geometry can be understood to be background independent because the geometry of space is indeterminate and is therefore not fixed in advance, as it would be in a background dependent approach. The school will help to define the field of background independent QG. It is the first project undertaken by the European Science Foundation's newly-formed QGQG Research Network, coordinated by John Barrett (Barrett-Crane spin networks, standard particle model derived from NCG) and by Hermann Nicolai of Albert Einstein Institute (AEI-Golm).
for more information:
http://www.fuw.edu.pl/~kostecki/school.html

The list of those invited to lecture at the school:

Jan Ambjorn (Utrecht)
Abhay Ashtekar (Penn State)
Alain Connes* (Paris)
Laurent Freidel (Perimeter)
Etera Livine (Lyon)
Shahn Majid (London)
Martin Reuter (Mainz)
Jean-Marc Schlenker (Toulouse)
Thomas Thiemann (AEI-Golm)
Ruth Williams* (Cambridge)

* - to be confirmed

===============

here are some guesses as to what these people might talk about

Jan Ambjorn---causal dynamical triangulation (CDT: one of several simplicial QG approaches)
Abhay Ashtekar----(loop) quantum cosmology---the deterministic evolution that replaces the bang singularity
Alain Connes*----obtaining the standard model from non-commutative geometry (NCG)
Laurent Freidel----obtaining Feynman diagrams of usual QFT from spinfoam, the emergence of matter from QG.
Etera Livine----covariant loop quantum gravity (CLQG)
Shahn Majid----NCG---possible connection to DSR and GLAST testability.
Martin Reuter----quantum Einstein gravity (QEG)---showing quantized general relativity to be asymptotically safe
Jean-Marc Schlenker---differential geometry and topology (application?)
Thomas Thiemann----algebraic quantum gravity (AQG) and/or the master constraint program
Ruth Williams*----simplicial QG
 
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  • #121
Results of MIP forecast polls

first quarter 2006
https://www.physicsforums.com/showthread.php?t=116791
second quarter 2006
https://www.physicsforums.com/showthread.php?t=124951
third quarter 2006
https://www.physicsforums.com/showthread.php?t=134513

It is still early to be counting citations for most of these---and cite numbers don't tell the whole story.

but in the first quarter poll, five people picked Padmanabhan's paper and it has already 36 cites (Ashtekar's was next with 17)
the five people were arivero, selfAdjoint, Kea, Turbo, and Feynmania.
cites are not conclusive but i think they did indeed pick the paper which is proving the most influential.

in second quarter, arivero and Viking picked the two Ashtekar papers, which so far have been the most-cited choice in that poll, with combined 34 citations

in the third quarter Etera Livine and Energex chose the Freidel paper which has 4 cites as of today------there has not been much time yet for follow-up research papers to be written
arivero picked the pair of papers by Barrett and by Connes (deriving the standard model from Noncommutative Geometry) and they have a total of 6 to date
 
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  • #122
To continue where the preceding post left off, here is a link to the fourth quarter MIP prediction poll
https://www.physicsforums.com/showthread.php?t=149466

Also updating (7 January) links to the Harvard abstract search tool:
They are for the whole year, in four successive years,
keywords = superstring, worldsheet, M-theory, brane, heterotic, AdS/CFT.

2003: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2004: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2005: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2006: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

As of today, these give the following raw publication numbers:
3248, 3154, 3139, 3049

(additional publications may come to the librarian's attention belatedly and be included later.)

A link for the new year,

2007: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1
 
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  • #123
some further links to the Harvard abstract search tool:
these are for the whole year, in seven successive years
keywords = superstring, M-theory, brane, heterotic, AdS/CFT

2001: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2002: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2003: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2004: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2005: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2006: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2007: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1
the present gross annual publication counts for 2001, 2002, 2003, 2004, 2005, 2006 are
1224, 1193, 1109, 1049, 1062, 1010

including the keyword "worldsheet" in the search has the disadvantage that it picks up a lot of non-string papers from other fields whose abstracts happen to mention the word "sheet", so in these not-too-skillful searches one either gets too few papers or too many. At least one can gauge the trend in annual output, if not the absolute size.
 
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  • #124
Loops '07

LOOPS '07
25 - 30 June 2007 Morelia, Mexico

As in previous years, the conference is meant to provide the main international event on quantum gravity with emphasis on non-perturbative and background independent approaches.

Topics include:

* Foundational questions of quantum gravity
* Loop quantum gravity
* Spin foam models
* Dynamical triangulations
* Causal sets
* String theory
* Cosmology related to quantum gravity
* Phenomenology of quantum gravity

The conference is organized through the Instituto de Matemáticas, UNAM, Morelia:
http://www.matmor.unam.mx

Organizing committee:
Alejandro Corichi
Robert Oeckl
José Antonio Zapata
Daniele Colosi
 
  • #125
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  • #126
to amplify what Francesca said, the city of
Morelia, where LOOPS '07 meeting will be held, is about 200 miles west of mexico city. The National University of Mexico (UNAM) has a campus at Morelia with several research institutes.
 
  • #127
Ashtekar, one of the initiators of the LQG approach, has an article whose title contains the words "Introduction to Loop Quantum Gravity...", and which might be a good place to touch base, for anyone who wants an introduction.

http://arxiv.org/abs/gr-qc/0702030
An Introduction to Loop Quantum Gravity Through Cosmology
Abhay Ashtekar
20 pages, 4 figures, Introductory Review

"This introductory review is addressed to beginning researchers. Some of the distinguishing features of loop quantum gravity are illustrated through loop quantum cosmology of FRW models. In particular, these examples illustrate: i) how 'emergent time' can arise; ii) how the technical issue of solving the Hamiltonian constraint and constructing the physical sector of the theory can be handled; iii) how questions central to the Planck scale physics can be answered using such a framework; and, iv) how quantum geometry effects can dramatically change physics near singularities and yet naturally turn themselves off and reproduce classical general relativity when space-time curvature is significantly weaker than the Planck scale."

this paper of Ashtekar's grew out of a talk he gave in Summer 2006 at the First Stueckelberg Workshop at Pescara, italy.
http://www.icra.it/ICRA_Networkshops/INw20_Stueckelberg/Welcome.htm

=======================
here is the Spring 2007 of Jorge Pullin's ONLINE
INTERNATIONAL LQG SEMINAR
http://relativity.phys.lsu.edu/ilqgs/schedulesp07.html
You can listen to the seminar talks online at
http://relativity.phys.lsu.edu/ilqgs/

Just scroll to the bottom of the page and click on PDF to get the slides and click on one of the audio options to hear it.

NOTE: All seminars will be held at 9:00 AM Central Time

Feb 13 UV properties of N=8 supergravity: is it finite? Radu Roiban PennState

Feb 20 KITP program on singularities summary Martin Bojowald PennState

Feb 27 Diffeomorphism invariance in loop quantum gravity Abhay Ashtekar PennState

Mar 13 Kappa Poincare space-time symmetries Michele Arzano Perimeter Institute

Mar 20 TBA Kirill Krasnov Perimeter Institute

Mar 27 Loop quantization of spherically symmetric spacetimes Jorge Pullin Louisiana State University

Apr 3 TBA (about Trinions) Lee Smolin Perimeter Institute
 
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  • #128
The speaker-list for the QGQG school has been finalized. The lecturers at the school are to be:
Jan Ambjorn
Abhay Ashtekar
Laurent Freidel
Etera Livine
Paweł Kasprzak
Martin Reuter
Jean-Marc Schlenker
Thomas Thiemann
Ruth Williams

Alain Connes and Shahn Majid were possibilities. As of now they will not be lecturing.

marcus said:
Francesca alerted us to the QGQG school taking place in March and April at a mountain resort in Poland.
=============
QGQG stands for Quantum Geometry and Quantum Gravity
Formulations of Quantum Gravity based on quantum geometry can be understood to be background independent because the geometry of space is indeterminate and is therefore not fixed in advance, as it would be in a background dependent approach. The school will help to define the field of background independent QG. It is the first project undertaken by the European Science Foundation's newly-formed QGQG Research Network, coordinated by John Barrett (Barrett-Crane spin networks, standard particle model derived from NCG) and by Hermann Nicolai of Albert Einstein Institute (AEI-Golm).
for more information:
http://www.fuw.edu.pl/~kostecki/school.html

The list of those invited to lecture at the school:

Jan Ambjorn (Utrecht)
Abhay Ashtekar (Penn State)
Alain Connes* (Paris)
Laurent Freidel (Perimeter)
Etera Livine (Lyon)
Shahn Majid (London)
Martin Reuter (Mainz)
Jean-Marc Schlenker (Toulouse)
Thomas Thiemann (AEI-Golm)
Ruth Williams* (Cambridge)

* - to be confirmed

===============

here are some guesses as to what these people might talk about

Jan Ambjorn---causal dynamical triangulation (CDT: one of several simplicial QG approaches)
Abhay Ashtekar----(loop) quantum cosmology---the deterministic evolution that replaces the bang singularity
Alain Connes*----obtaining the standard model from non-commutative geometry (NCG)
Laurent Freidel----obtaining Feynman diagrams of usual QFT from spinfoam, the emergence of matter from QG.
Etera Livine----covariant loop quantum gravity (CLQG)
Shahn Majid----NCG---possible connection to DSR and GLAST testability.
Martin Reuter----quantum Einstein gravity (QEG)---showing quantized general relativity to be asymptotically safe
Jean-Marc Schlenker---differential geometry and topology (application?)
Thomas Thiemann----algebraic quantum gravity (AQG) and/or the master constraint program
Ruth Williams*----simplicial QG
 
  • #129
Francesca pointed out today that the program of talks has now been posted for the QGQG school
http://www.fuw.edu.pl/~kostecki/school.html

this is specifically aimed at getting grad students started in one of the several branches of QG2 research, so you don't necessarily have to be following all the talks to benefit from the school

it is like a Smorgasbord where you only take what you want and can handle.

Jan Ambjorn - Matrix models in non-critical string theory and quantum gravity
Abhay Ashtekar - Loop Quantum Cosmology
Laurent Freidel - Spin-Foam Models
Etera Livine -
Paweł Kasprzak - Locally compact quantum Lorentz groups
Martin Reuter - Asymptotic Safety in Quantum Einstein Gravity
Jean-Marc Schlenker - Hyperbolic geometry for 3d gravity
Thomas Thiemann - Loop Quantum Gravity
Ruth Williams - Introduction to Regge Calculus

If I were there I probably would just go to these series

Abhay Ashtekar - Loop Quantum Cosmology
Laurent Freidel - Spin-Foam Models
Etera Livine -
Thomas Thiemann - Loop Quantum Gravity

So I would just list the series of talks to be given by AA, LF, EL, TT.
Of these, only LF has already given titles of individual talks

Laurent Freidel: Spin-Foam Models
1. General introduction to spin foams
2. 3D Gravity and introduction to some group theory
3. The Ponzano-Regge model derivation and its properties
4. The Ponzano-Regge model + matter
5. Effective field theory

for the other three we only know how many talks each is giving and the timeslots. What follows are exerpts from the program:

Lectures will start everyday at 14.00. Every lecture will take 45 minutes, and there will be 15 minutes of break between lectures. Note that first lecture starts Mar, 23 at 14.00, while the last lecture ends Apr, 3 at 19.00.

Friday, Mar 23
Abhay Ashtekar: Loop Quantum Cosmology (1)

Saturday, Mar 24
Abhay Ashtekar: Loop Quantum Cosmology (2)
Abhay Ashtekar: Loop Quantum Cosmology (3)

Sunday, Mar 25
Abhay Ashtekar: Loop Quantum Cosmology (4)
Abhay Ashtekar: Loop Quantum Cosmology (5)

Monday, Mar 26
Abhay Ashtekar: Loop Quantum Cosmology (6)
Abhay Ashtekar: Loop Quantum Cosmology (7)
Laurent Freidel: Spin-Foam Models (1)

Tuesday, Mar 27
Informal discussion, excursion, attractions

Wednesday, Mar 28
Thomas Thiemann: Loop Quantum Gravity (1)
Laurent Freidel: Spin-Foam Models (2)

Thursday, Mar 29
Laurent Freidel: Spin-Foam Models (3)
Thomas Thiemann: Loop Quantum Gravity (2)

Friday, Mar 30
Laurent Freidel: Spin-Foam Models (4)
Laurent Freidel: Spin-Foam Models (5)
Thomas Thiemann: Loop Quantum Gravity (3)

Saturday, Mar 31
Informal discussion, excursion, attractions

Sunday, Apr 1
Thomas Thiemann: Loop Quantum Gravity (4)
Thomas Thiemann: Loop Quantum Gravity (5)
Etera Livine (1)

Monday, Apr 2
Thomas Thiemann: Loop Quantum Gravity (6)
Thomas Thiemann: Loop Quantum Gravity (7)
Etera Livine (2)

Tuesday, Apr 3
Etera Livine (3)
Thomas Thiemann's student (1)

I think the last talk is being given by Kristina Giesel, a postdoc at Perimeter.
It looks like AA is giving 7 talks, LF is giving 5 talks, TT is giving 7 with an additional talk by Kristina.
 
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  • #130
francesca said:
LOOPS '07
25 - 30 June 2007 Morelia, Mexico
...
...
http://www.matmor.unam.mx
...

Some more detail has been posted at the UNAM Morelia website
http://www.matmor.unam.mx/eventos/loops07/index.html
====some exerpts from the announcement====
Scientific Advisory Committee

* Jan Ambjørn
* Abhay Ashtekar
* John W. Barrett
* Fay Dowker
* Jerzy Lewandowski
* Hugo Morales Tecotl
* Jorge Pullin
* Carlo Rovelli
* Lee Smolin
* Thomas Thiemann

At this time the program is in an early planning stage. Below is the list of plenary speakers with titles of talks. Abstracts can be displayed by clicking on the title of the respective talk or by going to the abstracts page. When more detailed information on the program is available it will be posted on this site.

Plenary Speaker--------- Title
Jan Ambjørn
Abhay Ashtekar "LQG: Lessons from models"
Martin Bojowald "Loop quantum cosmology and effective theory"
John F. Donoghue
Klaus Fredenhagen
Lucien Hardy "The causaloid formalism: a tentative framework for quantum gravity"
James B. Hartle "Generalizing Quantum Mechanics for Quantum Gravity"
Sabine Hossenfelder "Phenomenological Quantum Gravity"
Bei-Lok B. Hu
Fotini Markopoulou
Daniele Oriti
Alejandro Perez
Hendryk Pfeiffer "Quantum gravity, TQFTs and categorification"
Jorge Pullin "Uniform discretizations and spherically symmetric loop quantum gravity"
Michael Reisenberger
Martin Reuter "Asymptotically safe quantum gravity and cosmology"
David Rideout
Carlo Rovelli
Moshe Rozali*
Lee Smolin
Rafael Sorkin*
Artem Starodubtsev
Jörg Teschner*
Thomas Thiemann

(* to be confirmed) Last updated 2 March 2007.
 
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  • #131
Abstracts are already available for some of the invited plenary talks to be given at this years Loops '07

===quote from Loops '07 site===
Abstracts of plenary talks:

Martin Bojowald: Loop quantum cosmology and effective theory

Several models have been defined to study the broad framework of loop quantum gravity. We present a common perspective for cosmology where configurations are close to being isotropic. Effective techniques are then used to illustrate important features of the semiclassical limit and to show examples of correction terms to Einstein's equation. Applications include corrections to the Newton potential and to cosmological perturbation equations relevant for the CMB power spectrum.

John F. Donoghue: Effective field theory and quantum general relativity

I will review the foundations and recent progress in the use of effective field theory to elucidate the quantum predictions of general relativity.

Lucien Hardy: The causaloid formalism: a tentative framework for quantum gravity

General Relativity is a deterministic theory with non-fixed causal structure. Quantum Theory is an inherently probabilistic theory with fixed causal structure. A theory of Quantum Gravity must reduce, in appropriate limits, to General Relativity and Quantum Theory. It seems likely, therefore, that Quantum Gravity will inherit the radical aspects of these two less fundamental theories – namely that it will be a probabilistic theory with non-fixed causal structure. In this talk I will present the causaloid formalism which is a general framework for such theories. I will show how Quantum Theory can be formulated in the causaloid framework and provide tentative results for how it may be possible to formulate General Relativity in the framework. Finally, I will discuss the issue of formulating a theory of Quantum Gravity using the causaloid formalism.

James Hartle: Generalizing Quantum Mechanics for Quantum Spacetime

Familiar textbook quantum mechanics assumes a fixed background spacetime to define states on spacelike surfaces and their unitary evolution between them. Quantum theory has been generalized as our conceptions of space and time have evolved. But quantum mechanics needs to be generalized further for quantum gravity where spacetime geometry is fluctuating and without definite value. This talk will review a fully four-dimensional, sum-over-histories, generalized quantum mechanics of cosmological spacetime geometry. In this generalization, states of fields on spacelike surfaces and their unitary evolution are emergent properties appropriate when spacetime geometry behaves approximately classically. The principles of generalized quantum theory would allow for further generalization that would be necessary were spacetime not fundamental. Emergent spacetime phenomena are discussed in general and illustrated with the examples of the classical spacetime geometries with large spacelike surfaces that emerge from the `no-boundary' wave function of the universe. These must be Lorentzian with one, and only one, time direction. The question will be raised as to whether quantum mechanics itself is emergent.

Jorge Pullin: Uniform discretizations and spherically symmetric loop quantum gravity

We discuss the application of the uniform discretization procedure to handle the dynamics of loop quantum gravity with spherical symmetry.

Martin Reuter: Asymptotically safe quantum gravity and cosmology

The basic ideas and main results of the asymptotic safety scenario in Quantum Einstein Gravity (QEG) are reviewed and possible implications for the cosmology of the early universe are discussed.

Moshe Rozali: Background Independence in String Theory

I review several notion of background independence in quantum gravity: full or partial, manifest or not etc., and discuss the evidence for and against taking the notion seriously as a guide for research. I review the current status in string theory with regard to this question and discuss the extent to which existing non-perturbative formulations of string theory are background independent.

Artem Starodubtsev: Some physical results from spinfoam models

Given the known mathematical fact that a spinfoam is a Feynman diagram the data relevant for particle scattering amplitudes could be identified in it.

==endquote==
http://www.matmor.unam.mx/eventos/loops07/index.html
 
  • #132
Updating some useful benchmarks from the Harvard abstract search tool:
these are for the whole year
keywords = superstring, M-theory, brane, heterotic, AdS/CFT

2002: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2006: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2007: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1
the following are for the first three months of the year, same years and keywords

2002: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2006: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

2007: http://adsabs.harvard.edu/cgi-bin/n...txt_wgt=YES&ttl_sco=YES&txt_sco=YES&version=1

Using these one can at least gauge the trend in annual output, if not the absolute size.
as of now, first triple: 1130, 947, ?
second triple (provis.) 401, 323, 199
 
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  • #133
Followup on QGQG-1 school in Zakopane Poland (program listed above):

QGQG-2 school will be in June 2008, in Denmark.

The most complete blog report on the first QGQG school is here:

Part 1 of report---Thomas Thiemann's lectures including the Master Constraint, discussion with T.T. of (semi) classical limit; Eugenio Bianchi's explanation of the LQG graviton paper of Rovelli et al; Laurent Freidel and Etera Livine spinfoam talks development of Feynman diagram for matter from QG
http://realityconditions.blogspot.com/2007/04/report-on-quantum-gravity-school_08.html

Part 2 of report---Martin Reuter's QEG assymptotic safety
http://realityconditions.blogspot.com/2007/04/report-on-quantum-gravity-school_10.html

General comment and pictures:
http://realityconditions.blogspot.com/2007/04/report-on-quantum-gravity-school.html

QGQG conference will be held in Nottingham UK in July 2008
 
  • #134
I think if you really wanted to explain what the loops are in loop quantum gravity, you would have to at least add one extra dimension. General Relativity added a higher space dimension and if quantum loop gravity wishes to combine this theory with quantum theory, I think it would only be fair. One thing about General Relativity is that it explained eliptical orbits by explaining that space was curved. I once wondered how matter could actually curve space, and I thought what if matter is actual indentions in space time itself or intersection with a higher dimension that we can not move in. If you were too look at a particle as an indention of space time itself, then as other particles passed by it, they would "loop".
 
  • #135
AUDIO for the Zakopane QG school lectures are available online

Here is Carlo Rovelli's first talk
http://www.maths.nottingham.ac.uk/qg/Meetings/Zakopane/recordings/cr1.mp3
this is an insightful and foresightful non-technical talk. it comes across well on audio because he does not have to use the whiteboard very much.
people liked this talk because it stimulated them very much to think.

the other lectures were depending on handout pieces of paper and writing on the board, so not all of it comes through in audio.

however Etera Livine seemed to give a very good lecture and also I was interested in some of what Jan Ambjorn said by way of introduction. I have only sampled a few so far.

Richard Kostecki "Path-Integral" the local organizer of the Zakopane school has put links to all the audio here
http://www.fuw.edu.pl/~kostecki/school.html

==============
The homebase for the European Union Quantum Gravity network is here
http://www.maths.nottingham.ac.uk/qg/
the name of the network is "Quantum Geometry and Quantum Gravity" or "QGQG"
the main director is John Barrett
I think in the name it is important to say Geometry first, not as an afterthought. IOW it means "Quantum Geometrical Gravity".
Approaches in which gravity is not merely one of many forces but is the geometry of space and time.
We are dealing with quantum theories, therefore, in which spacetime is NOT A MANIFOLD but a web of relations between geometrical operators---relations between geometric observables---background independent quantum theories

===============

Some detail is available about the "QG-squared 2008 conference to be at Nottingham UK in July 2008.
http://www.maths.nottingham.ac.uk/conferences/qgsquared-2008/
"Monday June 30th - Friday July 4th 2008
University of Nottingham, UK


Topics:

* Quantum gravity, including loop quantum gravity, spin foam models, 1+1 and 2+1 quantum gravity, perturbative approaches and other discrete approaches.

* Quantum geometry, including physical aspects of non-commutative geometry, quantum groups and quantum topology. Non-commutative field theory and deformed special relativity.


The meeting is sponsored by the QG network of the European Science Foundation."

=========
the orange paperback edition of Smolin's book is scheduled to go on sale 4 September 2007, that is in a little over 2 months from now. advance ordering has begun on UK-amazon, US-amazon, and in Canada.
=========
Garrett Lisi's surprising paper to be delivered at Loops '07 in Mexico 4 days from now (Tuesday 26 June) is available in slides+audio form at his website
http://deferentialgeometry.org/
advice: use two screens, download the PDF of the slides and view on one screen scrolling down
while keeping the menu of the audio segments on the other screen and click on them in sequence
so you hear the whole 20 minute talk without interruption
==========
just realized that Richard Kostecki website might be useful to keep a link to
http://www.fuw.edu.pl/~kostecki/
besides organizing the Zakopane school he does other things and has a useful set of links
==========
Martin Bojowald gave a report on the KITP Singularities workshop (which he co-organized with Gary Horowitz and others).
He gave it in April 2007. three months after the workshop, on the International LQG Seminar (ilqgs)
http://relativity.phys.lsu.edu/ilqgs/
 
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  • #136
Self-definition of the LQG community

One thing to realize is that the LQG community is very young.
IT ONLY JUST STARTED having a international conference on a nearly annual basis. The annual conference is a conventional way that research communities define themselves.

I would say that the three most visible defining events were the two conferences (Loops 05 and Loops 07) and the 2007 Zakopane QG school. Another important landmark was the 2006 founding by the ESF of the European Science Foundation QG network---supported by 8 countries. The QG Network organizes and sponsors workshops, conferences, and gives individual research grants. It's first conference will be summer 2008. Its first school for graduate students and postdocs was the one at Zakopane. Invitation to lecture at the school is to some extent defining: like being invited to give a plenary talk.

One can see what research lines are pursued in the LQG community (more correctly the non-string QG community, but people seem to prefer to say LQG) by looking at the programs of the Loops conferences and the Zakopane school.

Lines of research in the community are Spinfoam, Group Field Theory, CDT, Causal Sets, applications to Cosmology (LQC), Assymptotically safe QG (Reuter et al), AQG and Master Constraint (Thiemann et al.), Braided LQG and matter. These are the main approaches that I know of. Except for Causal Sets and Reuter's, all of these approaches date from 1998 or later. Thiemann's AQG and Master Constraint program is an outgrowth of vintage 1990s canonical LQG. So we have a community doing lines of research that are mostly less than 10 years old, which just started having an annual conference---just barely annual if it has one next year.

Research communities define themselves in part by having leaders, and you can often tell who the leaders are by who gives the INVITED TALKS at the main annual conference. This is hardly a surefire method! The LQG community has a practice of inviting OUTSIDERS at least on a one-time basis---as a way of encouraging interchange and of keeping open to the outside. Loops 05 had an invited talk by Robbert Dijkgraaf, a prominent string thinker. But for what it's worth we can check to see who were the REPEAT invited speakers at Loops 05, Loops 07, and the Zakopane school.

This has the merit of being a little objective, instead of my just telling you my opinion. I'll just score individuals and list those who score 2 or more. Two individuals, Rovelli and Reuter, gave invited presentations at all three events.

Carlo Rovelli 3
Martin Reuter 3
Jan Ambjorn 2
Abhay Ashtekar 2
Martin Bojowald 2
Laurent Freidel 2
Etera Livine 2
Daniele Oriti 2
Alejandro Perez 2
Lee Smolin 2
Raphael Sorkin 2
Thomas Thiemann 2

Here are links if you would like to see if I have missed anyone.
2005 plenaries
http://loops05.aei.mpg.de/index_files/Programme.html
2007 plenaries
http://www.matmor.unam.mx/eventos/loops07/plen_abs.html
first QG Network school
http://www.fuw.edu.pl/~kostecki/school.html

One obvious omission is John Barrett, whose research is in Non-commutative Geometry (NCG) and Spinfoam models, e.g. the familiar Barrett-Crane model. John Barrett is the director of the QG Network. And there's Renate Loll, who directs another ESF funding network--in random geometry--which supports a considerable amount of LQG community research. But there are a lot of omissions, in my subjective view, so I won't labor the point.
 
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  • #137
I'm using some simple objective measures to say what the main lines of research, who the leaders---instead of just giving a summary of my impressions from watching over the past 3 or 4 years. The previous post lists the main lines of research represented at Loops '07 and the people usually invited to speak at the community's defining events. Quantitative measures like this aren't perfect but they might catch detail that subjective impressions miss.

Something to point out is that 3 of the leading people in the LQG (more correctly the non-string QG) community are among the recently most cited people in quantum cosmology (QC).

QC has a strategic place in QG as a whole. It is where TESTABILITY is apt soonest to show up. Also because of the simplifying assumptions made in cosmology the QC people can symmetry-reduce and get tractible models and calculate numbers readily. Calculation can also be done, and is being done, in the full theory (in several non-string QG approaches) but it is less tractible and takes more computing power.

The three I refer to are Ashtekar, Bojowald, and Reuter. They have done noteworthy, in some cases famous, research outside quantum cosmology, but all three have at least a few RECENT papers focusing on QC, and their cosmology work has been widely cited. I will include quantum black holes papers since both the topics themselves and methods used are closely related. For simplicity I will only count papers from after 1999, and only those with 35+ cites to date. Some of the 2000-2003 papers, which have had time to accumulate cites, are in the 100+ category. The numbers for Bojowald are different partly because his work has always focused on quantum cosmology and closely allied topics.

As of 31 July. The number of 35+ papers is in parens and the total cites to just those papers is given.
Bojowald (23) 1550
Ashtekar (6) 488
Reuter (5) 267

The three have numerous collaborators. Some of their co-workers are themselves also highly cited recent QC authors. I'm not trying to make a complete list, but simply to see who among the dozen or so leaders in the LQG community that I listed in the previous post are especially active in quantum cosmology. I think it's just these three.
Quantum cosmology is a small field---other people you may think of as important figures in the field were, in several cases, active during the 1980s and 1990s, but have very little output after 1999 (particularly if one restricts to papers with 35+ cites.)
 
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  • #138
marcus said:
One thing to realize is that the LQG community is very young.
IT ONLY JUST STARTED having a international conference on a nearly annual basis. The annual conference is a conventional way that research communities define themselves.

I would say that the three most visible defining events were the two conferences (Loops 05 and Loops 07) and the 2007 Zakopane QG school. Another important landmark was the 2006 founding by the ESF of the European Science Foundation QG network...

To followup on this. The QG Network of the ESF is hosting a weeklong conference in the UK starting 30 June 2008 and calling it

QG2 2008

Part of the point is that it will include physical aspects of Noncommutative Geometry under the heading "Quantum Geometry".

The QG Network official title is ESF Network for "Quantum Geometry and Quantum Gravity", with geometry coming first, and this makes a point.

On the whole I think the terminology is more descriptive of the actual range of research in the non-string QG community----more accurately descriptive than the lump term "LQG community" that people, especially outsiders, tend to use.

ONE OF THE POSTERS HERE AT PF IS ON THE LOCAL ORGANIZING COMMITTEE for QG2 2008
http://www.maths.nottingham.ac.uk/conferences/qgsquared-2008/organizers/ [Broken]

The director of the QG Network, John Barrett, has done research BOTH in Noncommutative Geometry and in Spinfoam quantum gravity. He and Alain Connes came out with the same result about realizing the particletheory Standard Model, the same week last year (fall 2006). John Barrett is also on the local organizing committee.

this has to be the moral equivalent of "Loops 08" but by a different name (and maybe a better name!).

Also even stronger conference than Loops 05 and Loops 07 were because including NCG. It is not impossible that Alain Connes would show up and give a talk.

Here is the QG2 2008 Scientific Committee

Victor Aldaya (Granada)
Abhay Ashtekar (Penn State)
John Baez (UC Riverside)
Jürg Fröhlich (ETH, Zürich)
Harald Grosse (Vienna)
Shahn Majid (QMUL)
Carlo Rovelli (Marseille)
Thomas Schücker (Provence)
Lee Smolin (Perimeter)

Here's the website for the conference
http://www.maths.nottingham.ac.uk/conferences/qgsquared-2008/ [Broken]
 
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  • #139
Lately I've been finding it useful to cite the video and slides of Carlo Rovelli's talk at Strings 2008.
It is a very good introductory overview for people who don't know much about LQG,
Here are the links:
Video:
http://cdsweb.cern.ch/record/1121957?ln=en
Slides:
http://indico.cern.ch/getFile.py/access?contribId=30&resId=0&materialId=slides&confId=21917[/QUOTE]

To find this post again, click on the sticky Possibly Useful Threads, and then click on Introduction to LQG,
and then topright where it says "page 1 of 9" click on "last" (or whatever it takes to get to page 9)
 
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  • #140
Newyear's snapshot of Loop Quantum Gravity

Perhaps the simplest way to take a group snapshot of recent LQG research is to record the ten most cited papers that have appeared in the last three years. That is "date > 2005" in Spires language.

This snapshot will change from year to year. If I remember to record it one year from today, on 1 Jan 2010, then it will be "date > 2006" (namely the most cited papers from 2007, 2008, and 2009.)

The titles and abstracts of most-cited papers can help to indicate any shifts in focus and delineate current frontiers. This possibly-useful-thread component seems like a good place to keep this kind of record because it stays within reach.

So here is what the Spires link says as of today:
http://www.slac.stanford.edu/spires/find/hep/www?rawcmd=FIND+DK+QUANTUM+GRAVITY+AND+DK+LOOP+SPACE+AND+DATE+%3E+2005&FORMAT=www&SEQUENCE=citecount%28d%29 [Broken]1) Loop quantum cosmology.
Martin Bojowald
http://arxiv.org/abs/gr-qc/0601085
Cited 155 times

2) Graviton propagator in loop quantum gravity.
Eugenio Bianchi, Leonardo Modesto, Carlo Rovelli, Simone Speziale
http://arxiv.org/abs/gr-qc/0604044
Cited 61 times

3) The Loop-quantum-gravity vertex-amplitude.
Jonathan Engle, Roberto Pereira, Carlo Rovelli
http://arxiv.org/abs/0705.2388
Cited 45 times

4) An Introduction to Loop Quantum Gravity Through Cosmology.
Abhay Ashtekar
http://arxiv.org/abs/gr-qc/0702030
Cited 41 times

5) A New Spin Foam Model for 4d Gravity.
Laurent Freidel, Kirill Krasnov
http://arxiv.org/abs/0708.1595
Cited 41 times

6) Flipped spinfoam vertex and loop gravity.
Jonathan Engle, Roberto Pereira, Carlo Rovelli
http://arxiv.org/abs/0708.1236
Cited 35 times

7) The Complete LQG propagator. I. Difficulties with the Barrett-Crane vertex.
Emanuele Alesci, Carlo Rovelli
http://arxiv.org/abs/0708.0883
Cited 34 times

8) Loop Quantum Gravity: An Inside View.
Thomas Thiemann
http://arxiv.org/abs/hep-th/0608210
Cited 31 times

9) LQG vertex with finite Immirzi parameter.
Jonathan Engle, Etera Livine, Roberto Pereira, Carlo Rovelli
http://arxiv.org/abs/0711.0146
Cited 30 times

10) Hamiltonian cosmological perturbation theory with loop quantum gravity corrections.
Martin Bojowald, Hector H. Hernandez, Mikhail Kagan, Parampreet Singh, Aureliano Skirzewski
http://arxiv.org/abs/gr-qc/0609057
Cited 28 times
 
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<h2>1. What is Loop Quantum Gravity (LQG)?</h2><p>Loop Quantum Gravity is a theoretical framework that attempts to reconcile the principles of general relativity and quantum mechanics. It proposes that space and time are quantized, meaning they are made up of discrete units rather than being continuous. This theory also suggests that the fabric of space is made up of tiny loops or networks, hence the name "loop" quantum gravity.</p><h2>2. How does LQG differ from other theories of quantum gravity?</h2><p>LQG differs from other theories of quantum gravity, such as string theory, in its approach to quantizing space and time. While string theory proposes that particles are made up of tiny strings vibrating in higher dimensions, LQG focuses on the quantization of space itself. Additionally, LQG does not require the existence of extra dimensions, unlike string theory.</p><h2>3. What are some of the key challenges facing LQG?</h2><p>One of the main challenges facing LQG is its compatibility with other theories, such as general relativity. While LQG has shown promise in resolving the issue of singularities in general relativity, it has yet to be fully integrated with other fundamental forces, such as the strong and weak nuclear forces. Another challenge is the lack of experimental evidence to support the theory, as it is difficult to test at the current level of technology.</p><h2>4. How does LQG explain the phenomenon of gravity?</h2><p>In LQG, gravity is seen as a result of the curvature of space and time caused by the presence of matter and energy. This curvature is quantized, meaning it is made up of discrete units, and is described by mathematical equations known as spin networks. These spin networks represent the quantum states of space and time, and the interactions between them give rise to the force of gravity.</p><h2>5. What are some potential applications of LQG?</h2><p>While LQG is still a developing theory, it has the potential to provide a unified understanding of the fundamental forces of nature. It may also help to resolve some of the paradoxes and limitations of current theories, such as the singularity at the center of a black hole. Additionally, LQG could have implications for quantum computing and the study of the early universe, as it provides a framework for understanding the quantum behavior of space and time.</p>

1. What is Loop Quantum Gravity (LQG)?

Loop Quantum Gravity is a theoretical framework that attempts to reconcile the principles of general relativity and quantum mechanics. It proposes that space and time are quantized, meaning they are made up of discrete units rather than being continuous. This theory also suggests that the fabric of space is made up of tiny loops or networks, hence the name "loop" quantum gravity.

2. How does LQG differ from other theories of quantum gravity?

LQG differs from other theories of quantum gravity, such as string theory, in its approach to quantizing space and time. While string theory proposes that particles are made up of tiny strings vibrating in higher dimensions, LQG focuses on the quantization of space itself. Additionally, LQG does not require the existence of extra dimensions, unlike string theory.

3. What are some of the key challenges facing LQG?

One of the main challenges facing LQG is its compatibility with other theories, such as general relativity. While LQG has shown promise in resolving the issue of singularities in general relativity, it has yet to be fully integrated with other fundamental forces, such as the strong and weak nuclear forces. Another challenge is the lack of experimental evidence to support the theory, as it is difficult to test at the current level of technology.

4. How does LQG explain the phenomenon of gravity?

In LQG, gravity is seen as a result of the curvature of space and time caused by the presence of matter and energy. This curvature is quantized, meaning it is made up of discrete units, and is described by mathematical equations known as spin networks. These spin networks represent the quantum states of space and time, and the interactions between them give rise to the force of gravity.

5. What are some potential applications of LQG?

While LQG is still a developing theory, it has the potential to provide a unified understanding of the fundamental forces of nature. It may also help to resolve some of the paradoxes and limitations of current theories, such as the singularity at the center of a black hole. Additionally, LQG could have implications for quantum computing and the study of the early universe, as it provides a framework for understanding the quantum behavior of space and time.

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