Topography of the hot sphaleron Transitions

Details Topography of the hot sphaleron Transitions Topography of the hot sphaleron Transitions

1992-07-20

arxiv.org/abs/hep-lat/9207020v1

Phys.Lett. B294 (1992) 248-256

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1016/0370-2693(92)90690-6

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.

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