The Sphaleron Rate in SU(N) Gauge Theory
Abstract
The sphaleron rate is defined as the diffusion constant for topological number NCS = int g2 F Fdual/32 pi2. It establishes the rate of equilibration of axial light quark number in QCD and is of interest both in electroweak baryogenesis and possibly in heavy ion collisions. We calculate the weak-coupling behavior of the SU(3) sphaleron rate, as well as making the most sensible extrapolation towards intermediate coupling which we can. We also study the behavior of the sphaleron rate at weak coupling at large Nc.
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