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Real-time relaxation and kinetics in hot scalar QED: Landau damping

Daniel Boyanovsky, Héctor de Vega, Richard Holman, Prem Kumar Orcid Logo, Robert Pisarski

Physical Review D, Volume: 58, Issue: 12

Swansea University Author: Prem Kumar Orcid Logo

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DOI (Published version): 10.1103/PhysRevD.58.125009

Abstract

The real time evolution of non-equilibrium expectation values with soft length scales ∼ k−1 > (eT )−1 is solved in hot scalar electrodynamics, with a view to- wards understanding relaxational phenomena in the QGP and the electroweak plasma. We find that the gauge invariant non-equilibrium ex...

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Published in: Physical Review D
Published: 1998
URI: https://cronfa.swan.ac.uk/Record/cronfa16124
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spelling 2020-07-16T14:42:41.9355069 v2 16124 2013-09-20 Real-time relaxation and kinetics in hot scalar QED: Landau damping 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2013-09-20 SPH The real time evolution of non-equilibrium expectation values with soft length scales ∼ k−1 &#62; (eT )−1 is solved in hot scalar electrodynamics, with a view to- wards understanding relaxational phenomena in the QGP and the electroweak plasma. We find that the gauge invariant non-equilibrium expectation values relax via power laws to asymptotic amplitudes that are determined by the quasiparticle poles. The long time relaxational dynamics and relevant time scales are determined by the behaviour of the retarded self-energy not at the small frequencies, but at the Landau damping thresholds. This explains the presence of power laws and not of exponential decay. In the process we red- erive the HTL effective action using non-equilibrium field theory. Furthermore we obtain the influence functional, the Langevin equation and the fluctuation- dissipation theorem for the soft modes, identifying the correlators that emerge in the classical limit. We show that a Markovian approximation fails to de- scribe the dynamics both at short and long times. We also introduce a novel kinetic approach that goes beyond the standard Boltzmann equation by in- corporating off-shell processes and find that the distribution function for soft quasiparticles relaxes with a power law through Landau damping. We find an unusual dressing dynamics of bare particles and anomalous (logarithmic) relaxation of hard quasiparticles. Journal Article Physical Review D 58 12 31 12 1998 1998-12-31 10.1103/PhysRevD.58.125009 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-16T14:42:41.9355069 2013-09-20T10:56:37.5941419 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Daniel Boyanovsky 1 Héctor de Vega 2 Richard Holman 3 Prem Kumar 0000-0003-0867-4213 4 Robert Pisarski 5
title Real-time relaxation and kinetics in hot scalar QED: Landau damping
spellingShingle Real-time relaxation and kinetics in hot scalar QED: Landau damping
Prem Kumar
title_short Real-time relaxation and kinetics in hot scalar QED: Landau damping
title_full Real-time relaxation and kinetics in hot scalar QED: Landau damping
title_fullStr Real-time relaxation and kinetics in hot scalar QED: Landau damping
title_full_unstemmed Real-time relaxation and kinetics in hot scalar QED: Landau damping
title_sort Real-time relaxation and kinetics in hot scalar QED: Landau damping
author_id_str_mv 087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Prem Kumar
author2 Daniel Boyanovsky
Héctor de Vega
Richard Holman
Prem Kumar
Robert Pisarski
format Journal article
container_title Physical Review D
container_volume 58
container_issue 12
publishDate 1998
institution Swansea University
doi_str_mv 10.1103/PhysRevD.58.125009
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 0
active_str 0
description The real time evolution of non-equilibrium expectation values with soft length scales ∼ k−1 &#62; (eT )−1 is solved in hot scalar electrodynamics, with a view to- wards understanding relaxational phenomena in the QGP and the electroweak plasma. We find that the gauge invariant non-equilibrium expectation values relax via power laws to asymptotic amplitudes that are determined by the quasiparticle poles. The long time relaxational dynamics and relevant time scales are determined by the behaviour of the retarded self-energy not at the small frequencies, but at the Landau damping thresholds. This explains the presence of power laws and not of exponential decay. In the process we red- erive the HTL effective action using non-equilibrium field theory. Furthermore we obtain the influence functional, the Langevin equation and the fluctuation- dissipation theorem for the soft modes, identifying the correlators that emerge in the classical limit. We show that a Markovian approximation fails to de- scribe the dynamics both at short and long times. We also introduce a novel kinetic approach that goes beyond the standard Boltzmann equation by in- corporating off-shell processes and find that the distribution function for soft quasiparticles relaxes with a power law through Landau damping. We find an unusual dressing dynamics of bare particles and anomalous (logarithmic) relaxation of hard quasiparticles.
published_date 1998-12-31T03:18:25Z
_version_ 1763750450782273536
score 11.016235

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