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Sphaleron-like processes in a realistic heat bath

1993/12/16 by A. Krasnitz, R. Potting, Robertus Potting · 1 citation
Mathematics · Physics and Astronomy · #Abelian group #Combinatorics #Higgs boson #High-Energy Particle Collisions Research #Materials science #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Range (aeronautics) #Sphaleron #hep-lat

paper · pdf · doi:10.1016/0920-5632(94)90461-8

published as Nucl.Phys.Proc.Suppl.34:613-615,1994 · talk given at Lattice-93 conference (Dallas, October 1993), 3 pages, uuencoded postscript file, IPS Research Report 93-16

arxiv created 1993/12/16 · openalex publication_date 1994/04/01 · arxiv updated 2010/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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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