Gaussian approximation of the (2+1) dimensional Thirring model in the functional Schr\"{o}dinger picture

TL;DR

This paper investigates the (2+1)-dimensional Thirring model using Gaussian approximation in the functional Schrödinger picture, revealing symmetry breaking effects beyond the large N limit.

Contribution

It introduces a Gaussian approximation approach to analyze the Thirring model, capturing symmetry breaking phenomena not seen in the large N limit.

Findings

Symmetry breaking occurs in the Gaussian approximation

Higher order 1/N contributions are significant

Large N limit does not show symmetry breaking

Abstract

The (2+1)-dimensional Thirring model is studied by using the Gaussian approximation method in the functional Schr\"odinger picture. Although the dynamical symmetry breaking does not occur in the large N limit, it does occur in the Gaussian approximation which includes the higher order contributions in 1/N.