Chiral Symmetry Breaking in the $d=3$ Nambu-Jona-Lasinio Model in Curved Spacetime

TL;DR

This paper investigates how curvature in spacetime influences chiral symmetry breaking in the three-dimensional Nambu-Jona-Lasinio model, revealing potential curvature-induced phase transitions and calculating fermionic mass under various curvatures.

Contribution

It provides the first detailed analysis of curvature effects on chiral symmetry breaking in the 3D NJL model using leading order $1/N$ expansion and linear curvature approximation.

Findings

Curvature can induce a first-order phase transition.

Dynamically generated fermionic mass depends on curvature.

Numerical results show mass variation with curvature values.

Abstract

The phase structure of the $d=3$ Nambu-Jona-Lasinio model in curved spacetime is considered to leading order in the $1/N$--expansion and in the linear curvature approximation. The possibility of a curvature-induced first-order phase transition is investigated numerically. The dynamically generated fermionic mass is calculated for some values of the curvature.