The Sphaleron Rate: Bodeker's Leading Log

Abstract

Bodeker has recently shown that the high temperature sphaleron rate, which measures baryon number violation in the hot standard model, receives logarithmic corrections to its leading parametric behavior; Gamma = kappa' [log(m_D / g^2 T) + O(1)] (g^2 T^2 / m_D^2) α_W^5 T^4. After discussing the physical origin of these corrections, I compute the leading log coefficient numerically; kappa' = 10.8 pm 0.7. The log is fairly small relative to the O(1) ``correction;'' so nonlogarithmic contributions dominate at realistic values of the coupling.

37 pages, including 4 figures. Expansion of Appendix A discussing relation between heat bath and Langevin algorithms

References in corpus (9)

• Effective dynamics of soft non-abelian gauge fields at finite temperature
• Hot B violation, color conductivity, and log(1/alpha) effects
• Measuring the Broken Phase Sphaleron Rate Nonperturbatively
• Non-perturbative Debye mass in finite T QCD
• Chern-Simons number diffusion with hard thermal loops
• O(a) errors in 3-D SU(N) Higgs theories
• Gauge-invariant scalar and field strength correlators in 3d
• Lattice Chern-Simons Number Without Ultraviolet Problems
• Effective theory for real-time dynamics in hot gauge theories

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