Topological and Curvature Effects in a Multi-fermion Interaction Model

TL;DR

This paper studies how topology and curvature influence phase transitions in a multi-fermion interaction model, revealing the phase boundary for chiral symmetry breaking across various dimensions.

Contribution

It provides a novel analysis of the effects of spacetime topology and curvature on phase structure in a multi-fermion model using 1/N expansion.

Findings

Phase boundary for discrete chiral symmetry identified in 2≤D<4.

Topology and curvature significantly affect symmetry breaking.

Effective potential evaluated in leading order of 1/N expansion.

Abstract

A multi-fermion interaction model is investigated in a compact spacetime with non-trivial topology and in a weakly curved spacetime. Evaluating the effective potential in the leading order of the 1/N expansion, we show the phase boundary for a discrete chiral symmetry in an arbitrary dimensions, $2\leq D<4$.