Gauged NJL model at strong curvature

TL;DR

This paper explores how strong spacetime curvature can induce chiral symmetry breaking in the gauged NJL model using a non-perturbative RG approach, leading to dynamically generated fermion masses and insights into gravity's role.

Contribution

It introduces a non-perturbative RG method to study curvature-induced symmetry breaking in the gauged NJL model, connecting it with gauge Higgs--Yukawa models and discussing gravity implications.

Findings

Strong curvature induces chiral symmetry breaking.

Dynamically generated fermion mass calculated.

Potential link to Einstein gravity discussed.

Abstract

We investigate the gauged NJL--model in curved spacetime using the RG formulation and the equivalency with the gauge Higgs--Yukawa model in a modified 1/N_c -expansion. The strong curvature induced chiral symmetry breaking is found in the non-perturbative RG approach (presumably equivalent to the ladder Schwinger--Dyson equations). Dynamically generated fermion mass is explicitly calculated and inducing of Einstein gravity is briefly discussed. This approach shows the way to the non-perturbative study of the dynamical symmetry breaking at external fields.