Curvature-induced phase transitions in the inflationary universe - Supersymmetric Nambu-Jona-Lasinio Model in de Sitter spacetime -

TL;DR

This paper investigates how the curvature of de Sitter spacetime influences phase transitions related to chiral symmetry in a supersymmetric Nambu-Jona-Lasinio model, revealing curvature-dependent symmetry breaking and phase transition types.

Contribution

It provides a detailed analysis of the phase structure and critical curves of chiral symmetry breaking in de Sitter spacetime within the supersymmetric NJL model, including effects of supersymmetry breaking.

Findings

Chiral symmetry breaking depends on spacetime curvature.

Phase transitions can be first or second order based on parameters.

Critical curves for phase boundaries are derived.

Abstract

The phase structure associated with the chiral symmetry is thoroughly investigated in de Sitter spacetime in the supersymmetric Nambu-Jona-Lasinio model with supersymmetry breaking terms. The argument is given in the three and four space-time dimensions in the leading order of the 1/N expansion and it is shown that the phase characteristics of the chiral symmetry is determined by the curvature of de Sitter spacetime. It is found that the symmetry breaking takes place as the first order as well as second order phase transition depending on the choice of the coupling constant and the parameter associated with the supersymmetry breaking term. The critical curves expressing the phase boundary are obtained. We also discuss the model in the context of the chaotic inflation scenario where topological defects (cosmic strings) develop during the inflation.