How fast can the wall move? A study of the electroweak phase transition dynamics

Details How fast can the wall move? A study of the electroweak phase transition dynamics How fast can the wall move? A study of the electroweak phase transition dynamics

1995-06-30

arxiv.org/abs/hep-ph/9506475v2

Phys.Rev. D52 (1995) 7182-7204

Physics

High Energy Physics

High Energy Physics - Phenomenology

42 pages, plain latex, with three figures. Minor editing August 1 (we figured out how to do analytically some integrals we pre

Scientific paper

10.1103/PhysRevD.52.7182

We consider the dynamics of bubble growth in the Minimal Standard Model at the electroweak phase transition and determine the shape and the velocity of the phase boundary, or bubble wall. We show that in the semi-classical approximation the friction on the wall arises from the deviation of massive particle populations from thermal equilibrium. We treat these with Boltzmann equations in a fluid approximation. This approximation is reasonable for the top quarks and the light species while it underestimates the friction from the infrared $W$ bosons and Higgs particles. We use the two-loop finite temperature effective potential and find a subsonic bubble wall for the whole range of Higgs masses $0 L T > 23 $. The wall is thicker than the phase equilibrium value because out of equilibrium particles exert more friction on the back than on the base of a moving wall. We also consider the effect of an infrared gauge condensate which may exist in the symmetric phase; modelling it simplemindedly, we find that the wall may become supersonic, but not ultrarelativistic.

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