Boson Stars Efficiently Nucleate Vacuum Phase Transitions

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Early Universe, Bubble Nucleation

Scientific paper

In the hot dense early universe, first order phase transitions were possible through the tunnelling of a scalar field. When studying the formation of true vacuum bubbles in the semi-classical approximation, the tunnelling rate depends primarily on the Euclidean action of the bubble configuration. Others have shown that bubble nucleation by compact objects (neutron stars, black holes) proceeds more rapidly than in Coleman's process of bubble formation in empty space. In this paper, I consider nucleation by another kind of astrophysical object, a boson star, the ground state of a self-gravitating scalar field. I model a boson star in a self-interacting potential that also has a term cubic in the scalar field, the so-called 2-3-4 potential. In the limiting case of a 'small' star nucleating a 'large' bubble, I compare its Euclidean action, SEBubble, to the empty space bubble action of Coleman, SEColeman, and I find that the action ratio SEBubble/SEColeman decreases significantly from unity as the energy difference between the vacua increases. This decrease from unity enhances the nucleation rate.

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