Formation of Vortices in First Order Phase Transitions

Details Formation of Vortices in First Order Phase Transitions Formation of Vortices in First Order Phase Transitions

1995-01-12

arxiv.org/abs/hep-ph/9501284v1

Phys.Rev. D52 (1995) 992-998

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, LaTeX, 6 figures not included. Full version available e-mail under request to melfo@galileo.sissa.it or leandros@mit

Scientific paper

10.1103/PhysRevD.52.992

Using a toy model Lagrangian we investigate the formation of vortices in first order phase transitions. The evolution and interactions of vacuum bubbles are also studied using both analytical approximations and a numerical simulation of scalar field dynamics. A long lived bubble wall bound state is discovered and its existence is justified by using a simplified potential for the bubble wall interaction. The conditions that need to be satisfied for vortex formation by bubble collisions are also studied with particular emphasis placed on geometrical considerations. These conditions are then implemented in a Monte Carlo simulation for the study of the probability of defect formation. It is shown that the probability of vortex formation by collision of relativistically expanding bubbles gets reduced by about 10% due to the above mentioned geometric effects.

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