Quantum Field Effects on Cosmological Phase Transition in Anisotropic Spacetimes

TL;DR

This paper investigates how quantum field effects influence cosmological phase transitions in anisotropic spacetimes using one-loop effective potentials for a massive  theory, revealing quantum corrections to symmetry breaking.

Contribution

It provides analytic calculations of quantum corrections to phase transitions in Bianchi I and Kantowski-Sachs spacetimes, extending understanding of quantum effects in anisotropic cosmology.

Findings

Quantum corrections can induce symmetry restoration or breaking.

Analytic expressions for effective potentials in anisotropic models.

Quantum effects depend on spacetime metric forms.

Abstract

The one-loop renormalized effective potentials for the massive $\phi^4$ theory on the spatially homogeneous models of Bianchi type I and Kantowski-Sachs type are evaluated. It is used to see how the quantum field affects the cosmological phase transition in the anisotropic spacetimes. For reasons of the mathematical technique it is assumed that the spacetimes are slowly varying or have specially metric forms. We obtain the analytic results and present detailed discussions about the quantum field corrections to the symmetry breaking or symmetry restoration in the model spacetimes.