Cancellation of Infrared Divergences in QED at Nonzero Temperature

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The radiation produced by a classical charged current coupled to a quantized $A_μ$ is first computed. To each order in $α$, all infrared divergences cancel between the virtual $γ$'s and the real $γ$'s that are absorbed from or emitted into the plasma. When all orders of perturbation theory are summed, the finite answer predicts a suppression of radiation with $ω< αT$. The analysis of QED then consists of two steps. First, a general probability at $T\neq 0$ is organized so that all the virtual $e^{\pm},γ$ are in the amplitudes and all the real $e^{\pm},γ$ are in the phase space integrations. Next, the cancellations of IR divergences between virtual and real are demonstrated.
Talk presented at the 3rd Workshop on Thermal Field Theories and their Applications, Banff, Alberta (August, 1993), 7 pages, plain TeX

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