Quantum Field Effects on Cosmological Phase Transition in Anisotropic Spacetimes

Details Quantum Field Effects on Cosmological Phase Transition in Anisotropic Spacetimes Quantum Field Effects on Cosmological Phase Transition in Anisotropic Spacetimes

2004-01-12

arxiv.org/abs/gr-qc/0401046v1

Class.Quant.Grav.10:2021-2033,1993

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex 17 pages

Scientific paper

10.1088/0264-9381/10/10/009

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.

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