Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-05-04
Nucl.Phys. B433 (1995) 467-497
Physics
High Energy Physics
High Energy Physics - Phenomenology
HD-THEP-94-13 30 pages, 10 figures included at the end, LaTeX, epsf.sty
Scientific paper
10.1016/0550-3213(94)00452-K
We discuss the critical bubbles of the electroweak phase transition using an effective high-temperature 3-dimensional action for the Higgs field $\varphi$. The separate integration of gauge and Goldstone boson degrees of freedom is conveniently described in the 't Hooft-Feynman covariant background gauge. The effective dimensionless gauge coupling $g_3(T)^2$ in the broken phase is well behaved throughout the phase transition. However, the behavior of the one-loop $Z(\varphi)$ 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 $\varphi$ values increasing with the Higgs mass $m_H$. Taking a functional $S_z[\varphi]$ with constant $Z(\varphi)=z$ instead of the full non-local effective action in some neighborhood of the saddlepoint 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.
Kripfganz Jochen
Laser A.
Schmidt Michael G.
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