Dynamical mass generation in quantum field theory : some methods with application to the Gross-Neveu model and Yang-Mills theory

TL;DR

This paper introduces techniques for studying dynamical mass generation, validating them on the Gross-Neveu model with exact results, and exploring their application to SU(N) Yang-Mills theory.

Contribution

It presents new methods for analyzing dynamical mass generation, tested against known models and extended to complex gauge theories.

Findings

Accurate results for the Gross-Neveu mass gap

Validation of methods using the GN model

Discussion of applications to Yang-Mills theory

Abstract

We introduce some techniques to investigate dynamical mass generation. The Gross-Neveu model (GN) is used as a toy model, because the GN mass gap is exactly known, making it possible to check reliability of the various methods. Very accurate results are obtained. Also application to SU(N) Yang-Mills (YM) is discussed.