First-Order Phase Transitions in the Early Universe

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Scientific paper

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Phase Transitions, Cosmology

Scientific paper

We study the newly proposed extended inflation models in detail. We show through explicit examples that the generalization of the original pure Brans-Dicke model to a more generally coupled scalar-tensor theory might not be satisfactory because of severe constraints on the nucleation rate. Other possibilities should be explored. We also studied the tunneling process in quantum theories from first principles. We show that the decay coefficient B of the tunneling rate can be expressed as an Euclidean action if the Lagrangian satisfies certain conditions. Extending the analysis to the problem of tunneling in field theories with gravitational effects included, we show that, in the weak gravity case, the calculated coefficient B is in agreement with the conventional result.

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