Sphaleron Transition Rate in Presence of Dynamical Fermions

Details Sphaleron Transition Rate in Presence of Dynamical Fermions Sphaleron Transition Rate in Presence of Dynamical Fermions

1999-07-15

arxiv.org/abs/hep-ph/9907381v1

Phys.Rev. D61 (2000) 025009

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, 7 figures, LaTeX, psfig

Scientific paper

10.1103/PhysRevD.61.025009

We investigate the effect of dynamical fermions on the sphaleron transition rate at finite temperature for the Abelian Higgs model in one spatial dimension. The fermion degrees of freedom are included through bosonization. Using a numerical simulation, we find that massless fermions do not change the rate within the measurement accuracy. Surprisingly, the exponential dependence of the sphaleron energy on the Yukawa coupling is not borne out by the transition rate, which shows a very weak dependence on the fermion mass.

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