The electroweak sphaleron on the lattice

1995/12/04 by Margarita Garcia Perez, Margarita García Pérez, Pierre van Baal · 1 citation
Physics and Astronomy · #Electroweak interaction #High-Energy Particle Collisions Research #Lattice (music) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Saddle #Saddle point #Scaling #Sphaleron #hep-lat #hep-ph

paper · pdf · doi:10.1016/0550-3213(96)00105-8

published as Nucl.Phys. B468 (1996) 277-292 · 13p LaTeX with 3 figs, uufiles -gz format

arxiv created 1995/12/04 · openalex publication_date 1996/05/01 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the properties of the electroweak sphaleron on a finite lattice. The cooling algorithm for saddle points is used to obtain the static classical solutions of the SU(2)-Higgs field theory. Results are presented for M_H=∞, M_W, 0.75M_W. After performing finite size scaling we find good agreement with the results obtained from variational approaches. Of relevance for numerical determinations of the transition rate is that the lattice artefacts are surprisingly small for M_W≈ M_H.

Citations

• Sphaleron transition rate at high temperature in the 1+1 D abelian Higgs model

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