有限温度下深LPM体系中的QCD分裂/连接函数
QCD Splitting/Joining Functions at Finite Temperature in the Deep LPM Regime
摘要：
对于夸克-胶子等离子体背景中无质量夸克和胶子通过硬的、近共线的韧致辐射和逆韧致辐射分裂和结合的速率，存在着全α_s超前阶的数值计算。在具有非常高能量E的部分子的极限中，物理学由朗道-波梅兰丘克-米格达尔（LPM）效应主导，也有这些速率的分析领先对数计算，其中对数为ln（E/T）。我们将这些分析计算扩展到次-首对数阶。当E（less）>~ 10 T时，我们发现与完整结果的一致性大约在20%以内，其中E（less）是分裂/结合过程中能量最低的部分子的能量。本文还讨论了在E/T很大的情况下如何考虑耦合常数的变化。我们的结果也适用于各向同性的非平衡等离子体，如果等离子体不改变显着的形成时间与粒子分裂。
英文摘要：
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 (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.
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