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

Journal Article · · European Physical Journal. C, Particles and Fields

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.

Research Organization:
Univ. of Colorado, Boulder, CO (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0008132
OSTI ID:
1259198
Alternate ID(s):
OSTI ID: 1437933
Journal Information:
European Physical Journal. C, Particles and Fields, Journal Name: European Physical Journal. C, Particles and Fields Vol. 76 Journal Issue: 6; ISSN 1434-6044
Publisher:
Springer Science + Business MediaCopyright Statement
Country of Publication:
Germany
Language:
English
Citation Metrics:
Cited by: 52 works
Citation information provided by
Web of Science

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Figures / Tables (2)

Fig. 1(p. 8)figure Fig. 1
Fig. 2(p. 9)figure Fig. 2

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Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Gauge Theory
Kinetic Theory
Hooft Coupling
Hydrodynamic Limit
Onset Transition