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In the standard procedure for calculating the decay rate of a metastablevacuum the solution of the classical Euclidean equation of motion of thebackground field is needed. On the other hand radiative corrections have to betaken into account already in the equation of motion. Hence, the latter one hasto be the functional derivative of the effective action with respect to thebackground field. This is of crucial importance in theories in which thesymmetry breaking is due to radiative corrections. Usually the effectivepotential is considered only, neglecting the corrections due to the derivativeterms of the effective action. In this article a bounce solution from anequation of motion which takes into account the full effective action in theone-loop approximation is calculated. A computational method that yields astrict separation of the divergent contributions to the effective action fromthe convergent ones is obtained. This allows a wide freedom in the choice ofregularization and renormalization schemes. The model under consideration isthe SU(2)-Higgs model. The fluctuations of the complete bosonic sector, i.e.gauge field, Higgs and Goldstone boson contributions, are taken into account.The bounce is then self-consistent to one-loop order. The obtained results forcharacteristic quantities of the transition as the nucleation rate and thenumber of nucleated bubbles per volume are compared to other,non-self-consistent approaches.Comment: 21 pages, LaTeX2.09, 6 Postscript figures, uses revtex.sty, aps.sty,  and epsfig.sty. Changed content. Revised version. Accepted for publication by  Phys. Rev.

Self-consistent treatment of bubble nucleation at the electroweak phase transition