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Title: Retarded correlators in kinetic theory: branch cuts, poles and hydrodynamic onset transitions

In this paper, the collective modes of an effective kinetic theory description based on the Boltzmann equation in a relaxation-time approximation applicable to gauge theories at weak but finite coupling and low frequencies are studied. Real time retarded two-point correlators of the energy-momentum tensor and the R-charge current are calculated at finite temperature in flat space-times for large N gauge theories. It is found that the real-time correlators possess logarithmic branch cuts which in the limit of large coupling disappear and give rise to non-hydrodynamic poles that are reminiscent of quasi-normal modes in black holes. In addition to branch cuts, correlators can have simple hydrodynamic poles, generalizing the concept of hydrodynamic modes to intermediate wavelength. Surprisingly, the hydrodynamic poles cease to exist for some critical value of the wavelength and coupling reminiscent of the properties of onset transitions.
Authors:
 [1]
  1. Univ. of Colorado, Boulder, CO (United States)
Publication Date:
Grant/Contract Number:
SC0008132
Type:
Published Article
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
Journal Volume: 76; Journal Issue: 6; Journal ID: ISSN 1434-6044
Publisher:
Springer
Research Org:
Univ. of Colorado, Boulder, CO (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Gauge Theory; Kinetic Theory; Hooft Coupling; Hydrodynamic Limit; Onset Transition
OSTI Identifier:
1259198
Alternate Identifier(s):
OSTI ID: 1437933

Romatschke, Paul. Retarded correlators in kinetic theory: branch cuts, poles and hydrodynamic onset transitions. United States: N. p., Web. doi:10.1140/epjc/s10052-016-4169-7.
Romatschke, Paul. Retarded correlators in kinetic theory: branch cuts, poles and hydrodynamic onset transitions. United States. doi:10.1140/epjc/s10052-016-4169-7.
Romatschke, Paul. 2016. "Retarded correlators in kinetic theory: branch cuts, poles and hydrodynamic onset transitions". United States. doi:10.1140/epjc/s10052-016-4169-7.
@article{osti_1259198,
title = {Retarded correlators in kinetic theory: branch cuts, poles and hydrodynamic onset transitions},
author = {Romatschke, Paul},
abstractNote = {In this paper, the collective modes of an effective kinetic theory description based on the Boltzmann equation in a relaxation-time approximation applicable to gauge theories at weak but finite coupling and low frequencies are studied. Real time retarded two-point correlators of the energy-momentum tensor and the R-charge current are calculated at finite temperature in flat space-times for large N gauge theories. It is found that the real-time correlators possess logarithmic branch cuts which in the limit of large coupling disappear and give rise to non-hydrodynamic poles that are reminiscent of quasi-normal modes in black holes. In addition to branch cuts, correlators can have simple hydrodynamic poles, generalizing the concept of hydrodynamic modes to intermediate wavelength. Surprisingly, the hydrodynamic poles cease to exist for some critical value of the wavelength and coupling reminiscent of the properties of onset transitions.},
doi = {10.1140/epjc/s10052-016-4169-7},
journal = {European Physical Journal. C, Particles and Fields},
number = 6,
volume = 76,
place = {United States},
year = {2016},
month = {6}
}