Journal article 587 views
Real-time relaxation and kinetics in hot scalar QED: Landau damping
Daniel Boyanovsky,
Héctor de Vega,
Richard Holman,
Prem Kumar 
,
Robert Pisarski
,
Robert Pisarski
Physical Review D, Volume: 58, Issue: 12
Swansea University Author:
Prem Kumar
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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...
| Published in: | Physical Review D |
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| Published: |
1998
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa16124 |
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| 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 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. |
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| College: |
Faculty of Science and Engineering |
| Issue: |
12 |