高温QED的Bloch-Nordsieck估计
Bloch-Nordsieck Estimates of High-Temperature QED
摘要：
在预期的后续应用QCD，我们考虑的情况下，在高温QED。我们引入了一个Fradkin表示到精确的，Schwingerian的，费米子传播函数的表达，以及一个新的和相关的版本的布洛赫Nordsieck（BN）模型，提取每个微扰图的软贡献，在对比以前的半微扰治疗的能量尺度的假设分离。我们的研究结果是适用于吸收的快速粒子进入热浴，以及对称脉冲内的热介质中由于出现的瞬时，冲击波样的源作用在介质中的传播。入射粒子的初始动量的指数下降的时间依赖性与粒子能量的更强的下降相结合，通过所有松原频率的总和来估计，以模拟初始的“火球”，随后以高斯方式衰减。当扩展到QCD时，可以对RHIC散射进行定性应用，其中火球出现，膨胀并被阻尼。
英文摘要：
In anticipation of a subsequent application to QCD, we consider the case of QED at high temperature. We introduce a Fradkin representation into the exact, Schwingerian, functional expression of a fermion propagator, as well as a new and relevant version of the Bloch-Nordsieck (BN) model, which extracts the soft contributions of every perturbative graph, in contradistinction to the assumed separation of energy scales of previous semi-perturbative treatments. Our results are applicable to the absorption of a fast particle which enters a heat bath, as well as to the propagation of a symmetric pulse within the thermal medium due to the appearance of an instantaneous, shock-wave-like source acting in the medium. An exponentially-decreasing time dependence of the incident particle's initial momentum combines with a stronger decrease in the particle's energy, estimated by a sum over all Matsubara frequencies, to model an initial "fireball", which subsequently decays in a Gaussian fashion. When extended to QCD, qualitative applications could be made to RHIC scattering, in which a fireball appears, expands and is damped away.
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