First Order Phase Transitions in a Bianchi type-I universe

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1103/PhysRevD.62.104017

Considering the theory of induced gravity coupled to matter fields, taking the $\phi ^6$ interaction potential model we evaluate the one-loop effective potential in a (3+1)dimensional Bianchi type-I spacetime. It is proved that the $\phi ^6$ 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.

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