Bosonization and the lattice Gross-Neveu model

TL;DR

This paper introduces a lattice bosonized Gross-Neveu model that maintains chiral symmetry and simplifies simulations by avoiding anticommuting fields, then compares analytical $1/N$ expansion results with numerical data.

Contribution

It presents a chiral symmetric lattice bosonized Gross-Neveu model and validates analytical $1/N$ expansion results through numerical simulations.

Findings

Analytical $1/N$ expansion matches numerical results.

Model is explicitly chiral symmetric and simulation-friendly.

Next-to-leading order corrections are computed and compared.

Abstract

We consider a lattice version of the bosonized Gross-Neveu model. It is explicitely chiral symmetric and its numerical simulation does not involve any anticommuting field. We study its non trivial $1/N$ expansion up to the next-to-leading term comparing the results with explicit numerical simulations.