Sphaleron-Like Processes in a Realistic Heat Bath

Details Sphaleron-Like Processes in a Realistic Heat Bath Sphaleron-Like Processes in a Realistic Heat Bath

1993-12-16

arxiv.org/abs/hep-lat/9312062v1

Nucl.Phys.Proc.Suppl.34:613-615,1994

Physics

High Energy Physics

High Energy Physics - Lattice

talk given at Lattice-93 conference (Dallas, October 1993), 3 pages, uuencoded postscript file, IPS Research Report 93-16

Scientific paper

10.1016/0920-5632(94)90461-8

We measure the diffusion rate of Chern-Simons number in the (1+1)-dimensional Abelian Higgs model interacting with a realistic heat bath for temperatures between 1/13 and 2/3 times the sphaleron energy. It is found that the measured rate is close to that predicted by the sphaleron approximation at the lower end of the temperature range considered but falls at least an order of magnitude short of the sphaleron estimate at the upper end of that range. We show numerically that the sphaleron approximation breaks down as soon as the gauge-invariant two-point function yields correlation length close to the sphaleron size.

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