First Order Phase Transitions in a Bianchi type-I universe

Abstract

Considering the theory of induced gravity coupled to matter fields, taking the ${\varphi }^6$ interaction potential model we evaluate the one-loop effective potential in a (3+1)dimensional Bianchi type-I spacetime. It is proved that the ${\varphi }^6$ theory can be regularised in (3+1)dimensional curved spacetime. We evaluate the finite temperature effective potential and study the temperature dependence of phase transitions. The nature of phase transitions in the early universe is clarified to be of first order. The effects of spacetime curvature and arbitrary field coupling on the phase transitions in the early universe are also discussed.

20 pages, 7 figures, To appear in Physical Rev. D

References in corpus (5)

• Dynamical symmetry breaking in curved spacetime -review-
• O(N) Quantum fields in curved spacetime
• Quantum Field Effect on Symmetry Breaking and Restoration in Anisotropic Spacetimes
• Quantum Field Effects on Cosmological Phase Transition in Anisotropic Spacetimes
• Dynamical symmetry breaking in the Nambu-Jona-Lasino model with external gravitational and constant electric fields

Cited by in corpus (2)

• Classical and Quantum Features of the Mixmaster Singularity
• Phase transitions and bubble nucleations for a phi^6 model in curved spacetime