Quantum field effects on cosmological phase transition in anisotropic spacetimes.

Mathematics – Logic

Scientific paper

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Scientific paper

The one-loop renormalized effective potentials for the massive φ4 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 simplicity, it is assumed that the spacetimes are slowly varying or have special metric forms. The author obtains the analytic results and presents a detailed discussion of the quantum field corrections to symmetry breaking or symmetry restoration in the model spacetimes.

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