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

Arnold P. B. , DOĞAN Ç.

PHYSICAL REVIEW D, vol.78, no.6, 2008 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 78 Issue: 6
  • Publication Date: 2008
  • Doi Number: 10.1103/physrevd.78.065008
  • Title of Journal : PHYSICAL REVIEW D


There 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 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(<) greater than or similar to 10T, where E(<) 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.