1999/05/31 by Dietrich Bödeker, Dietrich Bodeker · 3 citations
Physics and Astronomy · #Collision #Coupling (piping) #Field (mathematics) #Gauge (firearms) #High-Energy Particle Collisions Research #Langevin equation #Logarithm #Momentum (technical analysis) #Noise (video) #Particle physics theoretical and experimental studies #Resummation #Scale (ratio) #Statistical Mechanics and Entropy #hep-lat #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1016/s0550-3213(99)00435-6
published as Nucl.Phys.B559:502-538,1999 · 42 pages, 2 figures, uses elsart.sty; explanatory paragraph added to the introduction, 4 references added, a few quotations added; to appear in Nucl. Phys. B
arxiv created 1999/08/02 · openalex publication_date 1999/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In hot non-Abelian gauge theories, processes characterized by the momentum scale g2 T (such as electroweak baryon number violation in the very early universe) are non-perturbative. An effective theory for the soft (|p|∼ g2 T) field modes is obtained by integrating out momenta larger than g2 T. Starting from the hard thermal loop effective theory, which is the result of integrating out the scale T, it is shown how to integrate out the scale gT in an expansion in the gauge coupling g. At leading order in g, one obtains Vlasov-Boltzmann equations for the soft field modes, which contain a Gaussian noise and a collision term. The 2-point function of the noise and the collision term are explicitly calculated in a leading logarithmic approximation. In this approximation the Boltzmann equation is solved. The resulting effective theory for the soft field modes is described by a Langevin equation. It determines the parametric form of the hot baryon number violation rate as Γ= κg10 log(1/g) T4, and it allows for a calculation of κ on the lattice.