Calculating Static Potential with Lattice Calculations

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SUMMARY

The discussion centers on calculating the static potential between two infinitely heavy quarks using lattice calculations. Key references include Gupta's lecture notes from the 1997 Les Houches Summer School (hep-lat/9807028), which provide foundational insights into lattice QCD. Additional recommended resources are the books by Creutz, Montvay & Munster, Smit's "Introduction to Quantum Fields on a Lattice," and "Lattice Methods for Quantum Chromodynamics" by DeGrand and DeTar. For practical implementation, the QDP (QCD Data Parallel) software offers examples, though it requires installation of other SciDAC modules.

PREREQUISITES
  • Understanding of lattice QCD principles
  • Familiarity with the QDP (QCD Data Parallel) software
  • Knowledge of SciDAC modules and dependencies
  • Basic programming skills for compiling and running example codes
NEXT STEPS
  • Read Gupta's lecture notes on lattice QCD (hep-lat/9807028)
  • Explore Smit's "Introduction to Quantum Fields on a Lattice"
  • Install and experiment with QDP software and its examples
  • Review the SciDAC workshop tutorial available at web.mit.edu/bgl/scidac-2007
USEFUL FOR

Researchers and students in theoretical physics, particularly those focusing on quantum chromodynamics and lattice calculations, will benefit from this discussion.

humanino
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Hi,

a few months ago, someone pointed me to an excellent primer on lattice calculations, available for free on arXiv. I was browsing and finding many results, so I was wondering if anybody had a good reference, including worked examples so one can readilly do such easy things as calculating the static potential between two (infinitely heavy) quarks.

Any suggestion more than welcome.
Thanks in advance :smile:
 
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A "classic" introduction to lattice QCD is Gupta, hep-lat/9807028, lecture notes from the 1997 Les Houches Summer School. I believe he does go through things like calculating the interquark static potential. (Is this the arXiv primer you mention? If not, I'd be curious to know what yours is.)

Lattice books by Creutz and Montvay & Munster are even more classic, though still worthwhile. More recent books are Smit's "Introduction to Quantum Fields on a Lattice" and "Lattice Methods for Quantum Chromodynamics" by DeGrand and DeTar, which I'm now most of the way through. There's a nice review of DeGrand & DeTar on Georg von Hippel's "Life on the Lattice" blog, latticeqcd.blogspot.com.

If you want actual code, I don't have too much I can offer. The QDP (QCD Data Parallel) software includes some examples, but it requires other SciDAC modules and the examples are mainly to show how to use various QDP routines. I don't think you'll get much out of playing with it (but if you do want to install it, let me know and I can make it much easier for you).
 
daschaich said:
...If you want actual code, I don't have too much I can offer. The QDP (QCD Data Parallel) software includes some examples, but it requires other SciDAC modules and the examples are mainly to show how to use various QDP routines. I don't think you'll get much out of playing with it (but if you do want to install it, let me know and I can make it much easier for you).

Actually, I forgot that the tutorial from the SciDAC workshop at MIT last year is online: web.mit.edu/bgl/scidac-2007 . To actually compile and run the example programs you would need to install QDP and its dependencies, but you may be able to get something out of reading the notes and code they have there.
 

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