Can Sigma Models Describe Finite Temperature Chiral Transitions?

Preprint

27 July 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-lat/9407021

Abstract

Large-N expansions and computer simulations indicate that the universality class of the finite temperature chiral symmetry restoration transition in the 3D Gross-Neveu model is mean field theory. This is a counterexample to the standard 'sigma model' scenario which predicts the 2D Ising model universality class. We trace the breakdown of the standard scenario (dimensional reduction and universality) to the absence of canonical scalar fields in the model. We point out that our results could be generic for theories with dynamical symmetry breaking, such as Quantum Chromodynamics.

Keywords

FINITE TEMPERATURE CHIRAL
DIMENSIONAL REDUCTION
COMPUTER SIMULATIONS
CHIRAL TRANSITIONS
TEMPERATURE CHIRAL
DESCRIBE FINITE
SIGMA MODELS
BREAKDOWN

All Related Versions

Version 1, 1994-07-27, ArXiv
Published version: Physical Review Letters, 74 (16), 3109.

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