Uniting Gross-Neveu and Massive Schwinger Models

TL;DR

This paper demonstrates how to derive the Gross-Neveu model solely from gauge fields in 1+1 dimensions and explores its combination with the massive Schwinger model under specific mass conditions.

Contribution

It introduces a novel approach to obtain the Gross-Neveu model from gauge fields and combines it with the massive Schwinger model in a new parameter regime.

Findings

Gross-Neveu model derived from gauge fields in 1+1D

Combination of Gross-Neveu and massive Schwinger models shown

Potential new insights into low-dimensional gauge theories

Abstract

We show that it is possible to obtain the Gross-Neveu model in 1+1 dimensions from gauge fields only. This is reminiscent of the fact that in 1+1 dimensions the gauge field tensor is essentially a pseudo-scalar. We also show that it is possible in this context to combine the Gross-Neveu model with the massive Schwinger model in the limit where the fermion mass is larger than the electric charge.