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Many aspects of high-temperature gauge theories, such as the electroweakbaryon number violation rate, color conductivity, and the hard gluon dampingrate, have previously been understood only at leading logarithmic order (thatis, neglecting effects suppressed only by an inverse logarithm of the gaugecoupling). We discuss how to systematically go beyond leading logarithmic orderin the analysis of physical quantities. Specifically, we extend tonext-to-leading-log order (NLLO) the simple leading-log effective theory due toBodeker that describes non-perturbative color physics in hot non-Abelianplasmas. A suitable scaling analysis is used to show that no new operatorsenter the effective theory at next-to-leading-log order. However, a NLLOcalculation of the color conductivity is required, and we report the resultingvalue. Our NLLO result for the color conductivity can be trivially combinedwith previous numerical work by G. Moore to yield a NLLO result for the hotelectroweak baryon number violation rate.Comment: 20 pages, 1 figur

Nonperturbative dynamics of hot non-Abelian gauge fields: Beyond the leading log approximation