Non-perturbative aspects of screening phenomena in abelian and non abelian gauge theories

Abstract

When computed to one-loop order in resummed perturbation theory, the non-abelian Debye mass appears to be logarithmically sensitive to the magnetic scale $g^{2}T$. More generally, we show that in higher orders power-like infrared divergences forbid the use of perturbation theory to calculate the corrections to Debye screening. A similar infrared problem occurs in the determination of the mass-shell for the scalar propagator in 2+1-dimensional scalar electrodynamics. In this context, we provide a non-perturbative approach which solves the infrared problems and allows for an accurate calculation of the scalar propagator in the vicinity of the mass-shell.

29 pages, LaTex, 7 figures (not included, available upon request)

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• The Quark-Gluon Plasma: Collective Dynamics and Hard Thermal Loops
• Landau-Pomeranchuk-Migdal effect in thermal field theory
• Lifetimes of quasiparticles and collective excitations in hot QED plasmas
• Lifetime of quasiparticles in hot QED plasmas
• Dynamical renormalization group resummation of finite temperature infrared divergences
• Propagators and Dimensional Reduction of Hot SU(2) Gauge Theory
• The Gluon Propagator at High Temperature: Screening, Improvement and Non-Zero Momenta
• KLN theorem, magnetic mass, and thermal photon production
• Relaxation and Kinetics in Scalar Field Theories
• The Bloch-Nordsieck propagator at finite temperature
• Real-time Relaxation and Kinetics in Hot Scalar QED: Landau Damping
• Real-time nonequilibrium dynamics in hot QED plasmas: dynamical renormalization group approach
• Anomalous Kinetics of Hard Charged Particles: Dynamical Renormalization Group Resummation
• Relaxing Near the Critical Point
• A simple criterion for effects beyond hard thermal loops
• Bose-Einstein condensation of deconfined spinons in two dimensions
• Thermal variational principle and gauge fields
• Lifetime of quasiparticles in hot gauge theories
• Two problems in thermal field theory