From hard thermal loops to Langevin dynamics

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dc.creatorBodeker, Dietrich
dc.date1999-05-04
dc.date1999-08-02
dc.date.accessioned2026-07-07T11:35:40Z
dc.date.available2026-07-07T11:35:40Z
dc.descriptionIn hot non-Abelian gauge theories, processes characterized by the momentum scale $g^2 T$ (such as electroweak baryon number violation in the very early universe) are non-perturbative. An effective theory for the soft ($|\vec{p}|\sim g^2 T$) field modes is obtained by integrating out momenta larger than $g^2 T$. 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 $Γ= κg^{10} \log(1/g) T^4$, and it allows for a calculation of $κ$ on the lattice.
dc.description42 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
dc.identifierhttps://arxiv.org/abs/hep-ph/9905239
dc.identifierhttp://arxiv.org/abs/hep-ph/9905239
dc.identifierNucl.Phys.B559:502-538,1999
dc.identifierdoi:10.1016/S0550-3213(99)00435-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198670
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.subjectNuclear Theory
dc.titleFrom hard thermal loops to Langevin dynamics
dc.typetext

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