PHYSICS HYPERNOTES

Numerical Field Theory

The Computational High Energy Physics Group here at Brown has been giving a number of talks and papers on a new method for the numerical calculation of field theory quantities, based on Galerkin techniques. Since these haven't arrived in book or journal form yet, I'll just point them out here.

The first paper is by S. García, G. Guralnik and J. Lawson, and was recently accepted for publication by Physics Letters B:

S. García (Brown), G. S. Guralnik (LANL), and J. Lawson (Brown), A New Approach to Numerical Quantum Field Theory, BROWN-HET-908.

Two talks were given at the lattice conference in Dallas. The first was by García on boson problems:

S. García (Brown), A New Approach to Numerical Quantum Field Theory. Apparently, no one has tired of that title yet.

Lawson presented a talk on fermionic issues:

J. Lawson (Brown), A New Method for Solving Lattice QFT with Dynamical Fermions. This talk contains a different calculation than the one presented in the first two documents. John is now at ICTP Trieste, and his email address is lawson@ictp.trieste.it.

Lattice Fermions

Currently, I'm doing some work on extending the fermionic methods that Lawson developed. A good review of lattice fermions and other issues was given by Kogut:

J. Kogut, A Review of the Lattice Gauge Theory Approach to Quantum Chromodynamics, Rev. Mod. Phys., 55:775 (1983).

A less formal introduction was given by S. García in his prelim talk a few years ago:

S. García (Brown), Fermion Doubling. When I get a chance, I'll scan in the amusing title page from this talk. Yet another introduction is given by Susskind:

L. Susskind (Tel Aviv/Yeshiva), Lattice fermions, Phys. Rev. D., 16:3031 (1977). Of key importance is the demonstration of the equivalence of the Thirring Model and the XY Model, which implies that the Source Galerkin methods can be swiftly turned to numerical problems in condensed matter theory.


ph:FieldTheory:Numerical