Cancellation of Infrared Divergences in Thermal QED

Abstract

As a preliminary step, the radiation produced by a classical charged current coupled to a quantized $A_{\mu }$ is solved. To each order in $\alpha$, all infrared divergences cancel between the virtual $\gamma$'s and the real $\gamma$'s absorbed from the plasma or emitted into the plasma. When all orders of perturbation theory are summed, the finite answer predicts a suppression of radiation with $\omega <\alpha T$. The analysis of QED then consists of two steps. First, a general probability at $T\ne 0$ is organized so that all the virtual $e^{\pm },\gamma$ are in the amplitudes and all the real $e^{\pm },\gamma$ are in the phase space integrations. Next, the cancellations of IR divergences between virtual and real are demonstrated.

6 pages, (Talk presented at Quark Matter '93)

References in corpus (1)

• Suppression of Bremsstrahlung at Non-Zero Temperature

Cited by in corpus (5)

• Expansion, Thermalization and Entropy Production in High-Energy Nuclear Collisions
• Quark Gluon Plasma Diagnostics in a Successive Equilibrium Scenario
• Thermal Equilibration in an Expanding Parton Plasma
• An interpretation of the infrared singularity of the effective electromagnetic field
• Finite Temperature QED: Non-Cancellation of Infrared Divergencies and Thermal Corrections to the Electron Magnetic Moment