Spontaneous Symmetry Breaking in Fermion-Gauge Systems- A Non Standard Approach

TL;DR

This paper introduces a novel method for analyzing chiral symmetry breaking in quantum field theories by computing the probability distribution of the chiral condensate, applicable directly in the chiral limit without mass extrapolations.

Contribution

The authors present a new approach that relates the chiral condensate to computable quantities, demonstrated with results from the compact Schwinger model.

Findings

Method effectively studies chiral properties without mass extrapolation.

Derived equations connect chiral condensate with standard numerical quantities.

Initial results validate the approach in the compact Schwinger model.

Abstract

We propose a new method for the study of the chiral properties of the ground state in QFT's based on the computation of the probability distribution function of the chiral condensate. It can be applied directly in the chiral limit and therefore no mass extrapolations are needed. Furthermore this approach allows to write up equations relating the chiral condensate with quantities computable by standard numerical methods, the functional form of these relations depending on the broken symmetry group. As a check, we report some results for the compact Schwinger model.