Supersymmetric Nambu-Jona-Lasinio Model in an External Gravitational Field

TL;DR

This paper explores how external gravitational fields influence chiral symmetry breaking in a supersymmetric NJL model coupled with supergravity, demonstrating the potential for symmetry breaking and calculating the resulting mass dynamically.

Contribution

It provides a novel analysis of chiral symmetry breaking in a SUSY NJL model within external gravitational fields using effective potential methods.

Findings

Chiral symmetry can be broken in external gravitational fields.

Dynamically generated mass is analytically and numerically computed.

Chiral symmetry breaking occurs in the linear curvature approximation.

Abstract

We investigate the effect of an external gravitational fields to the chiral symmetry breaking in the SUSY (supersymmetric) NJL (Nambu-Jona-Lasinio) model non-minimally interacting with external supergravity. Evaluating the effective potential in the leading order of the $1/N_{c}$-expansion and in the linear curvature approximation it is found the possibility of the chiral symmetry breaking in the SUSY NJL model in an external gravitational fields. In the broken phase the dynamically generated mass is analytically and numerically calculated.