Dynamical renormalization group resummation of finite temperature infrared divergences

Journal Article · Wed Sep 01 04:00:00 EDT 1999 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.60.065003· OSTI ID:6296068

Boyanovsky, D; de Vega, H J ^[1]; Boyanovsky, D; de Vega, H J; Simionato, M ^[2]; Holman, R ^[3]; Simionato, M ^[4]

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1. Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260 (United States)
2. LPTHE, Universite Pierre et Marie Curie (Paris VI) et Denis Diderot (Paris VII), Tour 16, 1er. etage, 4, Place Jussieu, 75252 Paris, Cedex 05 (France)
3. Department of Physics, Carnegie-Mellon University, Pittsburgh, Pennsylvania 15213 (United States)
4. INFN, Gruppo Collegato di Parma (Italy)

We introduce the method of dynamical renormalization group to study relaxation and damping out of equilibrium directly in real time and apply 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[sup [minus][alpha] hthinsp;T hthinsp;t hthinsp;ln[t/t[sub 0]]] for hard momentum charged excitations. This is in contrast with the usual quasiparticle interpretation of charged collective excitations at finite temperature in the sense of exponential relaxation of a narrow width resonance for which the width is the imaginary part of the self-energy on shell. In the case of narrow resonances away from thresholds, this approach leads to the usual exponential relaxation. 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 transcends the conceptual limitations of the quasiparticle picture and other types of resummation schemes. [copyright] [ital 1999] [ital The American Physical Society]

• OSTI ID: 6296068
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Vol. 60:6; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662220* -- Quantum Electrodynamics-- (1992-)
662230 -- Quantum Chromodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELECTRODYNAMICS
FIELD THEORIES
INFRARED DIVERGENCES
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION