QCD splitting/joining functions at finite temperature in the deep Landau-Pomeranchuk-Migdal regime

Journal Article · Mon Sep 15 04:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.065008· OSTI ID:21254162

Arnold, Peter; Dogan, Caglar ^[1]

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1. Department of Physics, University of Virginia, Box 400714, Charlottesville, Virginia 22904 (United States)

There exist full leading-order-in-{alpha}{sub 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 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{sub <} > or approx. 10T, where E{sub <} 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 nonequilibrium plasmas if the plasma does not change significantly over the formation time associated with particle splitting.

• OSTI ID: 21254162
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 78; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BREMSSTRAHLUNG
COUPLING CONSTANTS
GLUONS
MASSLESS PARTICLES
NON-EQUILIBRIUM PLASMA
QUANTUM CHROMODYNAMICS
QUARK MATTER
QUARKS