Four- and eight-fermion interactions in a space-time with non-trivial topology

TL;DR

This paper studies how eight-fermion interactions affect phase transitions in a compact space-time with non-trivial topology, finding that such interactions do not alter the phase boundary for chiral symmetry breaking.

Contribution

It provides an analysis of eight-fermion interactions in a non-trivial topology space-time and shows they do not change the phase boundary for chiral symmetry breaking.

Findings

Eight-fermion interactions do not modify the phase boundary.

The phase boundary depends on the space-time dimensions.

The study focuses on a space-time with topology $M^{D-1} imes S^1$.

Abstract

The phase structure of an eight-fermion interaction model is investigated in a compact space-time with non-trivial topology, $M^{D-1}\otimes S^1$. The phase boundary dividing the symmetric and the broken phase is shown as a function of the space-time dimensions. It is found that the eight-fermion interaction does not modify the phase boundary for the chiral symmetry breaking.