Dynamical renormalization group resummation of finite temperature infrared divergences

Abstract

We introduce the method of dynamical renormalization group to study relaxation and damping out of equilibrium directly in real time and applied it to the study of infrared divergences in scalar QED. This method allows a consistent resummation of infrared effects associated with the exchange of quasistatic transverse photons and leads to anomalous logarithmic relaxation of the form $e^{-\alpha Tt\ln [t/t_0]}$ which prevents a quasiparticle interpretation of charged collective excitations at finite temperature. The hard thermal loop resummation program is incorporated consistently into the dynamical renormalization group yielding a picture of relaxation and damping phenomena in a plasma in real time that trascends the conceptual limitations of the quasiparticle picture and other type of resummation schemes. We derive a simple criterion for establishing the validity of the quasiparticle picture to lowest order.

REVTEX, 33 pages, 2 figures,improved discussion,more examples,same physics to appear in phys. rev. d

References in corpus (3)

• Asymptotic Dynamics in Scalar Field Theory: Anomalous Relaxation
• The Bloch-Nordsieck propagator at finite temperature
• Real-time Relaxation and Kinetics in Hot Scalar QED: Landau Damping

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