Quantum Field Effect on Symmetry Breaking and Restoration in Anisotropic Spacetimes

TL;DR

This paper investigates how quantum field effects influence symmetry breaking and restoration in anisotropic Bianchi type-I spacetimes using the one-loop effective potential in $$ theory.

Contribution

It provides the first analysis of quantum effects on symmetry behavior in anisotropic spacetimes within the one-loop approximation.

Findings

Symmetry remains unchanged for conformal coupling or zero scale curvature.

Certain scalar-gravitational couplings can induce symmetry breaking or restoration.

Quantum effects depend on the scalar-gravitational coupling values.

Abstract

The one-loop effective potential for $\phi ^4$ theory on a Bianchi type-I universe is evaluated in the adiabatic approximation. It is used to see the quantum-field effects on symmetry breaking and restoration in anisotropic spacetimes. The results show that the fate of symmetry will not be changed in the cases of conformal coupling or a vanishing scale curvature, and only for some suitable values of scalar-gravitational coupling could the symmetry be radiatively broken or restored.