What Are the Best Resources for Learning Lattice QCD?

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Discussion Overview

The discussion centers around recommendations for resources to learn about Lattice Quantum Chromodynamics (LQCD), including books, articles, and lectures. Participants share their experiences and suggest materials that could aid in understanding both the theoretical and practical aspects of LQCD.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant inquires about resources for learning LQCD, indicating a background in gauge theory and crystallographic simulation.
  • Another participant recommends Mike Creutz's Cambridge Monograph "Quarks, gluons and lattices" and Christine Davies' review article on LQCD, noting that the latter may be outdated.
  • John Kogut's RMP article from 1979 is mentioned as essential reading for professionals in the field.
  • Peter Lepage's lectures from the 2002 SLAC Summer School are suggested as a valuable resource.
  • Additional recommendations include Lepage's introduction for novices, Rajan Gupta's course from the Les Houches Summer School, and a chapter on effective field theory in LQCD by Andreas S. Kronfeld.
  • Books such as "Lattice Gauge Theories: An Introduction" by H. J. Rothe and "Quantum Fields on a Lattice" by Istvan Montvay and Gernot Münster are also proposed.
  • A new participant asks about the differences between perturbative and non-perturbative methods in LQCD and their applications.

Areas of Agreement / Disagreement

Participants generally agree on the value of the recommended resources, but there is no consensus on the specifics of perturbative versus non-perturbative methods, as this topic has not yet been addressed in detail.

Contextual Notes

Some resources mentioned may be outdated, and the applicability of perturbative versus non-perturbative methods remains unresolved, with no definitions or contexts provided for these terms.

Who May Find This Useful

This discussion may be useful for graduate students and researchers interested in Lattice QCD, gauge theory, and related fields in theoretical physics.

K.J.Healey
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Does anyone here do LQCD?
If so do you have any recommendations on books concerning its development and use? Or publications with decent overviews?
I'm at the grad level currently, learning gauge theory, qcd/qed/field theory still, but have a decent background in lattice/crystallographic simulation. I'm just wondering where I should put my spare time if eventually I plan on using Lattice QCD to solve some problems.

Thanks!
 
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Mike Creutz has a fantastic Cambridge Monograph on Lattices. "Quarks, gluons and lattices".

Christine Davies also wrote a great review article on LQCD specifically: hep-ph/0205181. It might be a little outdated now.

John Kogut wrote a very famous RMP (Vol 51, #4, 1979) that is required reading for the true professionals. A little closer to your crystallographic experience.

Peter Lapage gave a fantastic set of lectures at the 2002 SLAC Summer School that you can watch online: http://www.slac.stanford.edu/econf/C020805/Lecture Series_files/lepage1.html

And of course there are a great plethora of review articles online.

Hope this helps!
 
Amazing! Thank you very much.
 
K.J.Healey said:
Amazing! Thank you very much.

I also recommend:

1) an excellent introduction by Lepage (who I had the great luck to have as my PhD adviser):

"Lattice QCD for Novices"

theory.fnal.gov/people/kronfeld/BUSSTEPP/Lepage1998.pdf




2) Introduction to lattice QCD: Course.
Rajan Gupta (Los Alamos) . LA-UR-98-3271, Jul 1997. 150pp.
Lectures given at Les Houches Summer School in Theoretical Physics, Session 68: Probing the Standard Model of Particle Interactions, Les Houches, France, 28 Jul - 5 Sep 1997.
Published in *Les Houches 1997, Probing the standard model of particle interactions, Pt. 2* 83-219
e-Print: hep-lat/9807028


3) Uses of effective field theory in lattice QCD: Chapter 39 in At the Frontiers of Particle Physics, Handbook of QCD.
Andreas S. Kronfeld (Fermilab) . FERMILAB-PUB-02-093-T, May 2002. 68pp.
To appear in At the Frontiers of Particle Physics: Handbook of QCD, Chapter 39, Vol. 4, edited by M. Shifman.
In *Shifman, N. (ed.): At the frontier of particle physics. Vol. 4* 2411-2477.
e-Print: hep-lat/0205021


and, as books:


4) Lattice Gauge Theories: An Introduction, 2nd edition [contents], H. J. Rothe, 2nd edition (World Scientific, Singapore, 1997).

5) Quantum Fields on a Lattice [contents], Istvan Montvay and Gernot Münster, (CUP, Cambridge, 1994).
 
Hello LQCD members,
I just want to know the difference between perturbative regime and non-perturbative regime or methods, when I can apply one and when the other one?
 

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