Your pick of the latest LQG papers

[marcus]

These are mostly from 2004 though a couple are from late last year.

1. Velhinho "On the structure of the space of generalized connections"
http://arxiv.org/math-ph/0402060

2. Noui and Perez "Three dimensional loop quantum gravity: physical scalar product and spin foam models"
http://arxiv.org/gr-qc/0402110

3. Livine and Girelli "Quantizing speeds with the cosmological constant"
http://arxiv.org/gr-qc/0311032

4. Freidel and Louapre "Ponzano-Regge model revisited, I."
http://arxiv.org/hep-th/0401076

5. Gambini and Pullin "Canonical Quantum Gravity..."
http://arxiv.org/gr-qc/0402062

6. Husain and Winkler "On singularity resolution in quantum gravity"
http://arxiv.org/gr-qc/0312094

7. Other?

Husain and Winkler's paper is not a LQG paper but is interesting because it confirms Bojowald's loop quantum cosmology results using (pre-LQG) ADM variables and the Wheeler-deWitt equation. One can remove the Big Bang singularity using the canonical quantization of GR developed in the 1960s. In this case, Wheeler and deWitt's canonical quantization of the GR metric ("geometrodynamics") gives results similar to present loop cosmology.

Gambini and Pullin's is mainly just the most recent survey (a survey by Ashtekar and Lewandowski is in the works but not out yet).

The others on the menu are self-explanatory or ones we've discussed some at PF. Add your own favorites!

Which papers do you think show originality, break new ground in promising directions, achieve landmark results, may be cited in the future by lines of research starting from them, or are just plain interesting?

 

[selfAdjoint]

Picked Velhinho. Reasons:
1) Studying it
2) Category angle
3) Hope it can be extended to quantization (see Baez post).

 

[marcus]

Originally posted by selfAdjoint
Picked Velhinho. Reasons:
1) Studying it
2) Category angle
3) Hope it can be extended to quantization (see Baez post).

Looks like if someone want to read Velhinho seriously they might have some catching up to do at Baez website
This Week's Finds #144, #190, #202
Quantum Gravity seminar Fall 2003 and Winter 2004
Intriguing stuff, combinatorial foundations of 1925 ad hocus-pocus
and Why We Have Commutation Relations.

The TWFs at
http://math.ucr.edu/home/baez/week144.html
http://math.ucr.edu/home/baez/week190.html
http://math.ucr.edu/home/baez/week202.html

The Quantum Gravity seminar page, with links to seminar notes and other material:

http://math.ucr.edu/home/baez/qg-fall2003/
http://math.ucr.edu/home/baez/qg-winter2004/

This seems like a lot. Right now I would just like to understand the Catalan numbers a little better.
1,1,2,5,14,42
------------------------
the other thing about Velhinho is that categorifying LQG just makes it nice

 

[marcus]

Originally posted by selfAdjoint
Picked Velhinho. Reasons:
1) Studying it
2) Category angle
3) Hope it can be extended to quantization (see Baez post).

Could you supply a link to the Baez post on sci.physics.research?
Besides that recent one, there'v been others about category theory and quantization---besides links already given in this thread I encountered a couple of others

"Categories, Quantization, and Much More"
http://math.ucr.edu/home/baez/categories.html

"The Story of Nth Quantization"
http://math.ucr.edu/home/baez/nth_quantization.html

 

[marcus]

I want to add Fairbairn/Rovelli to the list. It points to a new direction in LQG. Also fits into a key place in Rovelli's new book, "Quantum Gravity".

I will reprint the original list of favorite recent papers with F/R added:

These are mostly from 2004 though a couple are from late last year.

0. Fairbairn and Rovelli "Separable Hilbert space in Loop Quantum Gravity"
http://arxiv.org/math-ph/0403047


1. Velhinho "On the structure of the space of generalized connections"
http://arxiv.org/math-ph/0402060

2. Noui and Perez "Three dimensional loop quantum gravity: physical scalar product and spin foam models"
http://arxiv.org/gr-qc/0402110

3. Livine and Girelli "Quantizing speeds with the cosmological constant"
http://arxiv.org/gr-qc/0311032

4. Freidel and Louapre "Ponzano-Regge model revisited, I."
http://arxiv.org/hep-th/0401076

5. Gambini and Pullin "Canonical Quantum Gravity..."
http://arxiv.org/gr-qc/0402062

6. Husain and Winkler "On singularity resolution in quantum gravity"
http://arxiv.org/gr-qc/0312094

7. Other?

Husain and Winkler's paper is not a LQG paper but is interesting because it confirms Bojowald's loop quantum cosmology results using (pre-LQG) ADM variables and the Wheeler-deWitt equation. One can remove the Big Bang singularity using the canonical quantization of GR developed in the 1960s. In this case, Wheeler and deWitt's canonical quantization of the GR metric ("geometrodynamics") gives results similar to present loop cosmology.

Gambini and Pullin's is mainly just the most recent survey (a survey by Ashtekar and Lewandowski is in the works but not out yet).

The others on the menu are self-explanatory or ones we've discussed some at PF. Add your own favorites!

Which papers do you think show originality, break new ground in promising directions, achieve landmark results, may be cited in the future by lines of research starting from them, or are just plain interesting?