Second-Order Hydrodynamics in Next-to-Leading-Order QCD

Ghiglieri, Jacopo; Moore, Guy D.; Teaney, Derek

doi:10.1103/physrevlett.121.052302

Title: Second-Order Hydrodynamics in Next-to-Leading-Order QCD

Journal Article · 31 July 2018 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.121.052302 · OSTI ID:1462306

Ghiglieri, Jacopo ^[1]; Moore, Guy D. ^[2]; Teaney, Derek ^[3]

European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.
Technische Univ. Darmstadt (Germany). Inst. fur Kernphysik
Stony Brook Univ., NY (United States). Dept. of Physics and Astronomy

We compute the hydrodynamic relaxation times τ_π and τ_j for hot QCD at next-to-leading order in the coupling with kinetic theory. We show that certain dimensionless ratios of second-order to first-order transport coefficients obey bounds which apply whenever a kinetic theory description is possible; the computed values lie somewhat above these bounds. Strongly coupled theories with holographic duals strongly violate these bounds, highlighting their distance from a quasiparticle description.

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Research Organization:: State Univ. of New York (SUNY), Plattsburgh, NY (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-88ER40388

OSTI ID:: 1462306

Alternate ID(s):: OSTI ID: 1502072

Journal Information:: Physical Review Letters, Vol. 121, Issue 5; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 14 works

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References (29)

Relativistic viscous hydrodynamics, conformal invariance, and holography Baier, Rudolf; Romatschke, Paul; Son, Dam Thanh Journal of High Energy Physics, Vol. 2008, Issue 04 https://doi.org/10.1088/1126-6708/2008/04/100	journal	April 2008
U(1) current from the AdS/CFT: diffusion, conductivity and causality Bu, Yanyan; Lublinsky, Michael; Sharon, Amir Journal of High Energy Physics, Vol. 2016, Issue 4 https://doi.org/10.1007/JHEP04(2016)136	journal	April 2016
From kinetic theory to dissipative fluid dynamics Betz, B.; Henkel, D.; Rischke, D. H. Progress in Particle and Nuclear Physics, Vol. 62, Issue 2 https://doi.org/10.1016/j.ppnp.2008.12.018	journal	April 2009
Shear viscosity of boost invariant plasma at finite coupling Buchel, Alex Nuclear Physics B, Vol. 802, Issue 3 https://doi.org/10.1016/j.nuclphysb.2008.03.009	journal	October 2008
Azimuthal anisotropy in Au+Au collisions at s NN = 200 GeV Adams, J.; Aggarwal, M. M.; Ahammed, Z. Physical Review C, Vol. 72, Issue 1 https://doi.org/10.1103/PhysRevC.72.014904	journal	July 2005
Shear viscosity of CFT plasma at finite coupling Buchel, Alex Physics Letters B, Vol. 665, Issue 4 https://doi.org/10.1016/j.physletb.2008.05.072	journal	July 2008
Relaxation time of a CFT plasma at finite coupling Buchel, Alex; Paulos, Miguel Nuclear Physics B, Vol. 805, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2008.07.002	journal	December 2008
Collective Flow and Viscosity in Relativistic Heavy-Ion Collisions Heinz, Ulrich; Snellings, Raimond Annual Review of Nuclear and Particle Science, Vol. 63, Issue 1 https://doi.org/10.1146/annurev-nucl-102212-170540	journal	October 2013
Correlated Event-by-Event Fluctuations of Flow Harmonics in Pb-Pb Collisions at s N N = 2.76 TeV Adam, J.; Adamová, D.; Aggarwal, M. M. Physical Review Letters, Vol. 117, Issue 18 https://doi.org/10.1103/PhysRevLett.117.182301	journal	October 2016
Spectral densities for hot QCD plasmas in a leading-log approximation Hong, Juhee; Teaney, Derek Physical Review C, Vol. 82, Issue 4 https://doi.org/10.1103/PhysRevC.82.044908	journal	October 2010
Erratum: Derivation of transient relativistic fluid dynamics from the Boltzmann equation [Phys. Rev. D 85 , 114047 (2012)] Denicol, G. S.; Niemi, H.; Molnár, E. Physical Review D, Vol. 91, Issue 3 https://doi.org/10.1103/PhysRevD.91.039902	journal	February 2015
O ( g ) plasma effects in jet quenching Caron-Huot, Simon Physical Review D, Vol. 79, Issue 6 https://doi.org/10.1103/PhysRevD.79.065039	journal	March 2009
Elliptic Flow of Identified Hadrons in A u + A u Collisions at s N N = 200 G e V Adler, S. S.; Afanasiev, S.; Aidala, C. Physical Review Letters, Vol. 91, Issue 18 https://doi.org/10.1103/PhysRevLett.91.182301	journal	October 2003
Generic instabilities in first-order dissipative relativistic fluid theories Hiscock, William A.; Lindblom, Lee Physical Review D, Vol. 31, Issue 4 https://doi.org/10.1103/PhysRevD.31.725	journal	February 1985
Transport properties of Script N = 4 supersymmetric Yang-Mills theory at finite coupling Benincasa, Paolo; Buchel, Alex Journal of High Energy Physics, Vol. 2006, Issue 01 https://doi.org/10.1088/1126-6708/2006/01/103	journal	January 2006
Measurement of event-plane correlations in s NN = 2.76 TeV lead-lead collisions with the ATLAS detector Aad, G.; Abbott, B.; Abdallah, J. Physical Review C, Vol. 90, Issue 2 https://doi.org/10.1103/PhysRevC.90.024905	journal	August 2014
Derivation of transient relativistic fluid dynamics from the Boltzmann equation Denicol, G. S.; Niemi, H.; Molnár, E. Physical Review D, Vol. 85, Issue 11 https://doi.org/10.1103/PhysRevD.85.114047	journal	June 2012
Jet-medium interactions at NLO in a weakly-coupled quark-gluon plasma Ghiglieri, Jacopo; Moore, Guy D.; Teaney, Derek Journal of High Energy Physics, Vol. 2016, Issue 3 https://doi.org/10.1007/JHEP03(2016)095	journal	March 2016
Second order hydrodynamic coefficients from kinetic theory York, Mark Abraao; Moore, Guy D. Physical Review D, Vol. 79, Issue 5 https://doi.org/10.1103/PhysRevD.79.054011	journal	March 2009
Higher Harmonic Anisotropic Flow Measurements of Charged Particles in Pb-Pb Collisions at s N N = 2.76 TeV Aamodt, K.; Abelev, B.; Abrahantes Quintana, A. Physical Review Letters, Vol. 107, Issue 3 https://doi.org/10.1103/PhysRevLett.107.032301	journal	July 2011
Multiplicity and transverse momentum dependence of two- and four-particle correlations in pPb and PbPb collisions Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M. Physics Letters B, Vol. 724, Issue 4-5 https://doi.org/10.1016/j.physletb.2013.06.028	journal	July 2013
Transport coefficients in high temperature gauge theories, 2. Beyond leading log Arnold, Peter; Moore, Guy D.; Yaffe, Laurence G. Journal of High Energy Physics, Vol. 2003, Issue 05 https://doi.org/10.1088/1126-6708/2003/05/051	journal	May 2003
Transient relativistic thermodynamics and kinetic theory Israel, W.; Stewart, J. M. Annals of Physics, Vol. 118, Issue 2 https://doi.org/10.1016/0003-4916(79)90130-1	journal	April 1979
Transport coefficients in high temperature gauge theories (I): leading-log results Arnold, Peter; Moore, Guy David; Yaffe, Laurence G. Journal of High Energy Physics, Vol. 2000, Issue 11 https://doi.org/10.1088/1126-6708/2000/11/001	journal	November 2000
Two-loop QCD gauge coupling at high temperatures Laine, M.; Schroder, Y. Journal of High Energy Physics, Vol. 2005, Issue 03 https://doi.org/10.1088/1126-6708/2005/03/067	journal	March 2005
Stickiness of sound: An absolute lower limit on viscosity and the breakdown of second-order relativistic hydrodynamics Kovtun, Pavel; Moore, Guy D.; Romatschke, Paul Physical Review D, Vol. 84, Issue 2 https://doi.org/10.1103/PhysRevD.84.025006	journal	July 2011
Hydrodynamic Modeling of Heavy-Ion Collisions Gale, Charles; Jeon, Sangyong; Schenke, BjÖRn International Journal of Modern Physics A, Vol. 28, Issue 11 https://doi.org/10.1142/S0217751X13400113	journal	April 2013
Coupling constant dependence of the shear viscosity in supersymmetric Yang–Mills theory Buchel, Alex; Liu, James T.; Starinets, Andrei O. Nuclear Physics B, Vol. 707, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2004.11.055	journal	February 2005
QCD shear viscosity at (almost) NLO Ghiglieri, Jacopo; Moore, Guy D.; Teaney, Derek Journal of High Energy Physics, Vol. 2018, Issue 3 https://doi.org/10.1007/JHEP03(2018)179	journal	March 2018

Cited By (4)

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Flow in AA and pA as an interplay of fluid-like and non-fluid like excitations Kurkela, Aleksi; Wiedemann, Urs Achim; Wu, Bin The European Physical Journal C, Vol. 79, Issue 11 https://doi.org/10.1140/epjc/s10052-019-7428-6	journal	November 2019
Flow in AA and pA as an interplay of fluid-like and non-fluid like excitations Kurkela, Aleksi; Wiedemann, Urs Achim; Wu, Bin arXiv https://doi.org/10.48550/arxiv.1905.05139	text	January 2019
Transverse momentum broadening and collinear radiation at NLO in the N=4$$ \mathcal{N}=4 $$ SYM plasma Ghiglieri, Jacopo; Kim, HyungJoo Journal of High Energy Physics, Vol. 2018, Issue 12 https://doi.org/10.1007/jhep12(2018)049	journal	December 2018