Topological chiral symmetry breaking in SUSY NJL in curved space-time

TL;DR

This paper investigates how external curvature and non-trivial topology influence chiral symmetry breaking in a supersymmetric NJL model coupled with gravity, providing insights into symmetry behavior in curved space-time.

Contribution

It introduces the effective potential for SUSY NJL in curved space-time with non-trivial topology, analyzing the effects on chiral symmetry breaking.

Findings

Chiral symmetry breaking is affected by external curvature.

Non-trivial topology influences the symmetry breaking process.

The effective potential reveals conditions for symmetry breaking in curved space.

Abstract

The effective potential in the model introduced by Buchbinder-Inagaki-Odintsov (BIO) which represents SUSY NJL model non-minimally coupled with the external gravitational field is found. The topology of the space is considered to be non-trivial. Chiral symmetry breaking under the action of external curvature and non-trivial topology is investigated.