QCD Splitting/Joining Functions at Finite Temperature in the Deep LPM Regime

dc.creatorArnold, Peter
dc.creatorDogan, Caglar
dc.date2008-04-21
dc.date2008-09-02
dc.date.accessioned2026-07-07T12:43:48Z
dc.date.available2026-07-07T12:43:48Z
dc.descriptionThere exist full leading-order-in-alpha_s numerical calculations of the rates for massless quarks and gluons to split and join in the background of a quark-gluon plasma through hard, nearly collinear bremsstrahlung and inverse bremsstrahlung. In the limit of partons with very high energy E, where the physics is dominated by the Landau-Pomeranchuk-Migdal (LPM) effect, there are also analytic leading-log calculations of these rates, where the logarithm is ln(E/T). We extend those analytic calculations to next-to-leading-log order. We find agreement with the full result to within roughly 20% for E(less) >~ 10 T, where E(less) is the energy of the least energetic parton in the splitting/joining process. We also discuss how to account for the running of the coupling constant in the case that E/T is very large. Our results are also applicable to isotropic non-equilibrium plasmas if the plasma does not change significantly over the formation time associated with particle splitting.
dc.description20 pages, 6 figures. Changes from v3: Typos fixed in the subscripts of various Casimir factors
dc.identifierhttps://arxiv.org/abs/0804.3359
dc.identifierhttp://arxiv.org/abs/0804.3359
dc.identifierPhys.Rev.D78:065008,2008
dc.identifierdoi:10.1103/PhysRevD.78.065008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220548
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleQCD Splitting/Joining Functions at Finite Temperature in the Deep LPM Regime
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