Improved determination of the classical sphaleron transition rate

Details Improved determination of the classical sphaleron transition rate Improved determination of the classical sphaleron transition rate

1997-05-21

arxiv.org/abs/hep-ph/9705380v1

Nucl.Phys. B506 (1997) 387-403

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, LaTeX, 6 (latex) figures

Scientific paper

10.1016/S0550-3213(97)00524-5

We determine the sphaleron transition rate using real time lattice simulations of the classical system. An improved definition of the lattice topological charge allows us to obtain a more reliable estimate of the transition rate. For an SU(2) Yang-Mills-Higgs system in the broken phase we find the transition rate to be strongly suppressed, and we have observed no sphaleron transitions in the range of coupling constants used. For a pure SU(2) Yang-Mills system in large volumes the rate behaves as $\kappa (\alpha_w T)^4$, with $\kappa$ slightly decreasing as the lattice spacing is reduced. If the lattice size is reduced to about twice the magnetic screening length, the rate is suppressed by finite-size effects, and $\kappa$ is approximately proportional to the lattice spacing. Our rate measurements are supplemented by analysis of gauge field correlation functions in the Coulomb gauge.

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