Retarded correlators in kinetic theory: branch cuts, poles and hydrodynamic onset transitions
Abstract
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:
- Publication Date:
- Research Org.:
- Univ. of Colorado, Boulder, CO (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1259198
- Alternate Identifier(s):
- OSTI ID: 1437933
- Grant/Contract Number:
- SC0008132
- Resource Type:
- Published Article
- Journal Name:
- European Physical Journal. C, Particles and Fields
- Additional Journal Information:
- Journal Name: European Physical Journal. C, Particles and Fields Journal Volume: 76 Journal Issue: 6; Journal ID: ISSN 1434-6044
- Publisher:
- Springer Science + Business Media
- Country of Publication:
- Germany
- 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
Citation Formats
Romatschke, Paul. Retarded correlators in kinetic theory: branch cuts, poles and hydrodynamic onset transitions. Germany: N. p., 2016.
Web. doi:10.1140/epjc/s10052-016-4169-7.
Romatschke, Paul. Retarded correlators in kinetic theory: branch cuts, poles and hydrodynamic onset transitions. Germany. https://doi.org/10.1140/epjc/s10052-016-4169-7
Romatschke, Paul. Fri .
"Retarded correlators in kinetic theory: branch cuts, poles and hydrodynamic onset transitions". Germany. https://doi.org/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 = {Germany},
year = {Fri Jun 24 00:00:00 EDT 2016},
month = {Fri Jun 24 00:00:00 EDT 2016}
}
https://doi.org/10.1140/epjc/s10052-016-4169-7
Web of Science
Figures / Tables:
Works referenced in this record:
Finite coupling corrections to holographic predictions for hot QCD
journal, November 2015
- Waeber, Sebastian; Schäfer, Andreas; Vuorinen, Aleksi
- Journal of High Energy Physics, Vol. 2015, Issue 11
Relativistic viscous hydrodynamics, conformal invariance, and holography
journal, April 2008
- Baier, Rudolf; Romatschke, Paul; Son, Dam Thanh
- Journal of High Energy Physics, Vol. 2008, Issue 04
Quasinormal modes of near extremal black branes
journal, December 2002
- Starinets, Andrei O.
- Physical Review D, Vol. 66, Issue 12
The quark–gluon plasma: collective dynamics and hard thermal loops
journal, March 2002
- Blaizot, Jean-Paul; Iancu, Edmond
- Physics Reports, Vol. 359, Issue 5-6
Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
journal, September 2002
- Son, Dam T.; Starinets, Andrei O.
- Journal of High Energy Physics, Vol. 2002, Issue 09
Shear Viscosity in Weakly Coupled Super Yang-Mills Theory Compared to QCD
journal, April 2007
- Huot, Simon C.; Jeon, Sangyong; Moore, Guy D.
- Physical Review Letters, Vol. 98, Issue 17
Nonhydrodynamic Transport in Trapped Unitary Fermi Gases
journal, November 2015
- Brewer, Jasmine; Romatschke, Paul
- Physical Review Letters, Vol. 115, Issue 19
Heavy quark diffusion from the lattice
journal, January 2006
- Petreczky, Péter; Teaney, Derek
- Physical Review D, Vol. 73, Issue 1
Spectral densities for hot QCD plasmas in a leading-log approximation
journal, October 2010
- Hong, Juhee; Teaney, Derek
- Physical Review C, Vol. 82, Issue 4
Finite temperature spectral densities of momentum and -charge correlators in Yang-Mills theory
journal, August 2006
- Teaney, Derek
- Physical Review D, Vol. 74, Issue 4
Photon and dilepton production in supersymmetric Yang-Mills plasma
journal, December 2006
- Huot, Simon C.; Kovtun, Pavel; Moore, Guy D.
- Journal of High Energy Physics, Vol. 2006, Issue 12
Relativistic (lattice) Boltzmann equation with nonideal equation of state
journal, March 2012
- Romatschke, Paul
- Physical Review D, Vol. 85, Issue 6
AdS black holes and thermal Yang-Mills correlators
journal, December 2005
- Hartnoll, Sean A.; Kumar, S. Prem
- Journal of High Energy Physics, Vol. 2005, Issue 12
Zur Elektronentheorie der Metalle
journal, January 1900
- Drude, P.
- Annalen der Physik, Vol. 306, Issue 3
Generic instabilities in first-order dissipative relativistic fluid theories
journal, February 1985
- Hiscock, William A.; Lindblom, Lee
- Physical Review D, Vol. 31, Issue 4
Relativistic viscous fluid dynamics and non-equilibrium entropy
journal, December 2009
- Romatschke, Paul
- Classical and Quantum Gravity, Vol. 27, Issue 2
Thermal Spectral Functions of Strongly Coupled Supersymmetric Yang-Mills Theory
journal, April 2006
- Kovtun, Pavel; Starinets, Andrei
- Physical Review Letters, Vol. 96, Issue 13
Kubo Formulas for Second-Order Hydrodynamic Coefficients
journal, March 2011
- Moore, Guy D.; Sohrabi, Kiyoumars A.
- Physical Review Letters, Vol. 106, Issue 12
New Developments in Relativistic Viscous Hydrodynamics
journal, January 2010
- Romatschke, Paul
- International Journal of Modern Physics E, Vol. 19, Issue 01
Spectral sum rules for the quark-gluon plasma
journal, September 2009
- Romatschke, P.; Son, D. T.
- Physical Review D, Vol. 80, Issue 6
Nonlinear fluid dynamics from gravity
journal, February 2008
- Bhattacharyya, Sayantani; Minwalla, Shiraz; Hubeny, Veronika E.
- Journal of High Energy Physics, Vol. 2008, Issue 02
Lectures on hydrodynamic fluctuations in relativistic theories
journal, November 2012
- Kovtun, Pavel
- Journal of Physics A: Mathematical and Theoretical, Vol. 45, Issue 47
Transport coefficients in high temperature gauge theories, 2. Beyond leading log
journal, May 2003
- Arnold, Peter; Moore, Guy D.; Yaffe, Laurence G.
- Journal of High Energy Physics, Vol. 2003, Issue 05
Advances in perturbative thermal field theory
journal, February 2004
- Kraemmer, U.; Rebhan, A.
- Reports on Progress in Physics, Vol. 67, Issue 3
Hydrodynamic fluctuations, long-time tails, and supersymmetry
journal, July 2003
- Kovtun, Pavel; Yaffe, Laurence G.
- Physical Review D, Vol. 68, Issue 2
Stickiness of sound: An absolute lower limit on viscosity and the breakdown of second-order relativistic hydrodynamics
journal, July 2011
- Kovtun, Pavel; Moore, Guy D.; Romatschke, Paul
- Physical Review D, Vol. 84, Issue 2
Quasinormal modes and holography
journal, October 2005
- Kovtun, Pavel K.; Starinets, Andrei O.
- Physical Review D, Vol. 72, Issue 8
Holographic spectral functions and diffusion constants for fundamental matter
journal, November 2007
- Myers, Robert C.; Starinets, Andrei O.; Thomson, Rowan M.
- Journal of High Energy Physics, Vol. 2007, Issue 11
A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
journal, May 1954
- Bhatnagar, P. L.; Gross, E. P.; Krook, M.
- Physical Review, Vol. 94, Issue 3
The second order hydrodynamic transport coefficient κ for the gluon plasma from the lattice
journal, February 2014
- Philipsen, Owe; Schäfer, Christian
- Journal of High Energy Physics, Vol. 2014, Issue 2
Second order hydrodynamic coefficients from 3-point stress tensor correlators via AdS/CFT
journal, October 2011
- Arnold, Peter; Vaman, Diana; Wu, Chaolun
- Journal of High Energy Physics, Vol. 2011, Issue 10
Hydrodynamic equations and correlation functions
journal, October 1963
- Kadanoff, Leo P.; Martin, Paul C.
- Annals of Physics, Vol. 24