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The Chern-Simons number as an order parameter: classical sphaleron transitions for SU(2)-Higgs field theories for

1998/04/01 by Hugh Shanahan, H. P. Shanahan, A. C. Davis +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/s0370-2693(98)00579-6

published as Phys.Lett. B431 (1998) 135-140 · 9 pages, 5 figures. Uses Latex2e, and epsf.sty

arxiv created 1998/04/01 · openalex publication_date 1998/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

The classical transitions between topologically distinct vacua in a SU(2)-Higgs model, using a Higgs field of mass approximately 120 GeV, is examined to probe the crossover region between the symmetric and broken phase. Assuming the Higgs mass is constant, we find the width of this crossover region is approximately 20% of the average temperature. We suggest that this observable is a better parameter to explore this region of phase space than equal-time correlation functions.

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