The Sphaleron Rate in SU(N) Gauge Theory
Guy D. Moore, Marcus Tassler
TL;DR
This paper calculates the sphaleron rate in SU(N) gauge theories, focusing on SU(3) at weak coupling and exploring its behavior at large Nc, which is important for understanding topological transitions in QCD.
Contribution
It provides the first detailed weak-coupling calculation of the SU(3) sphaleron rate and explores its extrapolation to intermediate coupling and large Nc regimes.
Findings
Calculated the weak-coupling behavior of the SU(3) sphaleron rate.
Provided an extrapolation towards intermediate coupling.
Analyzed the sphaleron rate at large Nc.
Abstract
The sphaleron rate is defined as the diffusion constant for topological number NCS = int g^2 F Fdual/32 pi^2. 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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