Dynamical Symmetry Breaking in Four-Fermionic Models under the Influence of External Electromagnetic Field in Curved Spacetime

TL;DR

This paper studies how external electromagnetic and gravitational fields influence dynamical symmetry breaking in four-fermionic models, using analytical and numerical methods to explore phase transitions in curved spacetime.

Contribution

It provides a detailed analysis of the combined effects of electromagnetic and gravitational fields on symmetry breaking in four-fermionic models, including numerical simulations.

Findings

Electromagnetic fields significantly affect symmetry breaking.

Curvature induces phase transitions in the model.

The effective potential is calculated with linear curvature terms.

Abstract

An investigation of the Nambu-Jona-Lasinio model with external constant electromagnetic and weak gravitational fields is carried out in three- and four-dimensional spacetimes. The effective potential of the composite bifermionic fields is calculated keeping terms linear in the curvature, while the electromagnetic field effect is treated exactly by means of the proper-time formalism. Numerical simulations of the dynamical symmetry breaking phenomenon accompanied by some phase transitions are presented.