Critical bubbles and fluctuations at the electroweak phase transition
Abstract
We discuss the critical bubbles of the electroweak phase transition using an effective hightemperature 3dimensional action for the Higgs field ϕ. The separate integration of gauge and Goldstone boson degrees of freedom is conveniently described in the 't HooftFeynman covariant background gauge. The effective dimensionless gauge coupling g3 (T) z in the broken phase is well behaved throughout the phase transition. However, the behavior of the oneloop Z( ϕ) factors of the Higgs and gauge kinetic terms signalizes the breakdown of the derivative expansion and of the perturbative expansion for a range of small ϕ values increasing with the Higgs mass m_{H} Taking a functional S_{z} [ϕ] with constant Z( ϕ) = z instead of the full nonlocal effective action in some neighborhood of the saddle point we are calculating the critical bubbles for several temperatures. The fluctuation determinant is calculated to high accuracy using a variant of the heat kernel method. It gives a strong suppression of the transition rate compared to previous estimates.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(94)00452K
 arXiv:
 arXiv:hepph/9405225
 Bibcode:
 1995NuPhB.433..467K
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 HDTHEP9413 30 pages, 10 figures included at the end, LaTeX, epsf.sty