English

Topography of the hot sphaleron Transitions

High Energy Physics - Lattice 2009-10-22 v1

Abstract

By numerical simulations in {\it real time} we provide evidence in favour of sphaleron like transitions in the hot, symmetric phase of the electroweak theory. Earlier performed observations of a change in the Chern-Simons number are supplemented with a measurement of the lowest eigenvalues of the three-dimensional staggered fermion Dirac operator and observations of the spatial extension of energy lumps associated with the transition. The observations corroborate on the interpretation of the change in Chern-Simons numbers as representing continuum physics, not lattice artifacts. By combining the various observations it is possible to follow in considerable detail the time-history of thermal fluctuations of the classical gauge-field configurations responsible for the change in the Chern-Simons number.

Keywords

Cite

@article{arxiv.hep-lat/9207020,
  title  = {Topography of the hot sphaleron Transitions},
  author = {J. Ambjorn and K. Farakos},
  journal= {arXiv preprint arXiv:hep-lat/9207020},
  year   = {2009}
}

Comments

11 pages. No figures (sorry, but ps files too huge). Latex file. NBI-HE-92-52