Sphaleron transitions in a realistic heat bath

Details Sphaleron transitions in a realistic heat bath Sphaleron transitions in a realistic heat bath

1993-08-20

arxiv.org/abs/hep-ph/9308307v2

Phys.Lett. B318 (1993) 492-500

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, LATeX + 3 figures included as postscript files, to be encapsulated using epsf. Also available as a compressed postsc

Scientific paper

10.1016/0370-2693(93)91545-X

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 1/3 times the sphaleron energy. It is found that the measured rate is close to that predicted by one-loop calculation at the lower end of the temperature range considered but falls at least an orderof magnitude short of one-loop 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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