High Temperature Behavior of the Chern-Simons Diffusion Rate in the 1+1 D Abelian Higgs Model

Details High Temperature Behavior of the Chern-Simons Diffusion Rate in the 1+1 D Abelian Higgs Model High Temperature Behavior of the Chern-Simons Diffusion Rate in the 1+1 D Abelian Higgs Model

1998-05-04

arxiv.org/abs/hep-lat/9805001v2

Nucl.Phys. B540 (1999) 437-456

Physics

High Energy Physics

High Energy Physics - Lattice

Corrected trivial errors, extended conclusions somewhat

Scientific paper

10.1016/S0550-3213(98)00657-9

We give arguments that in the 1+1 dimensional abelian Higgs model the
classical approximation can be good for the leading high temperature behavior
of real time processes. The Chern-Simons diffusion rate (`sphaleron rate') is
studied numerically in this approximation. New results at high temperature show
a $T^{2/3}$ behavior of the rate at sufficiently small lattice spacing.

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