Convergence of hydrodynamics in a rotating strongly coupled plasma

Cartwright, Casey; Garbiso Amano, Markus; Kaminski, Matthias; Noronha, Jorge; Speranza, Enrico

doi:10.1103/physrevd.108.046014

Title: Convergence of hydrodynamics in a rotating strongly coupled plasma

Journal Article · 18 August 2023 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.108.046014 · OSTI ID:1995888

^[1];

^[2];

^[3];

^[3]

Univ. of Alabama, Tuscaloosa, AL (United States); Utrecht University (Netherlands)
Univ. of Alabama, Tuscaloosa, AL (United States)
Univ. of Illinois at Urbana-Champaign, IL (United States)

We compute the radius of convergence of the linearized relativistic hydrodynamic expansion around a nontrivially rotating strongly coupled N = 4 super-Yang-Mills plasma. Our results show that the validity of hydrodynamics is sustained and can even get enhanced for conformal field theory (CFT) in a rotating state. Analytic equations for the hydrodynamic dispersion relations and transport coefficients of the rotating plasma as a function of their values in a plasma at rest are given.

View Journal Article

Cite

Export

Save

Research Organization:: Univ. of Illinois at Urbana-Champaign, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0021301; SC0012447; SC-0012447

OSTI ID:: 1995888

Alternate ID(s):: OSTI ID: 2283587

Journal Information:: Physical Review. D., Vol. 108, Issue 4; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (54)

On the separability of field equations in Myers–Perry spacetimes Murata, Keiju; Soda, Jiro Classical and Quantum Gravity, Vol. 25, Issue 3 https://doi.org/10.1088/0264-9381/25/3/035006	journal	January 2008
Anisotropic shear viscosity of a strongly coupled non-Abelian plasma from magnetic branes Critelli, R.; Finazzo, S. I.; Zaniboni, M. Physical Review D, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevD.90.066006	journal	September 2014
New theories of relativistic hydrodynamics in the LHC era Florkowski, Wojciech; Heller, Michal P.; Spaliński, Michał Reports on Progress in Physics, Vol. 81, Issue 4 https://doi.org/10.1088/1361-6633/aaa091	journal	February 2018
Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation Hongo, Masaru; Huang, Xu-Guang; Kaminski, Matthias Journal of High Energy Physics, Vol. 2021, Issue 11 https://doi.org/10.1007/JHEP11(2021)150	journal	November 2021
From AdS/CFT correspondence to hydrodynamics Policastro, Giuseppe; Son, Dam T.; Starinets, Andrei O. Journal of High Energy Physics, Vol. 2002, Issue 09 https://doi.org/10.1088/1126-6708/2002/09/043	journal	September 2002
From AdS/CFT correspondence to hydrodynamics. II. Sound waves Policastro, Giuseppe; Son, Dam T.; Starinets, Andrei O. Journal of High Energy Physics, Vol. 2002, Issue 12 https://doi.org/10.1088/1126-6708/2002/12/054	journal	December 2002
Energy dependence of the chiral magnetic effect in expanding holographic plasma Cartwright, Casey; Kaminski, Matthias; Schenke, Björn Physical Review C, Vol. 105, Issue 3 https://doi.org/10.1103/PhysRevC.105.034903	journal	March 2022
Generating Spin Polarization from Vorticity through Nonlocal Collisions Weickgenannt, Nora; Speranza, Enrico; Sheng, Xin-li Physical Review Letters, Vol. 127, Issue 5 https://doi.org/10.1103/PhysRevLett.127.052301	journal	July 2021
Global Λ hyperon polarization in nuclear collisions Nature, Vol. 548, Issue 7665, p. 62-65 https://doi.org/10.1038/nature23004	journal	August 2017
General Relativity Wald, Robert M. https://doi.org/10.7208/chicago/9780226870373.001.0001	book	January 1984
Relativistic magnetohydrodynamics Hernandez, Juan; Kovtun, Pavel Journal of High Energy Physics, Vol. 2017, Issue 5 https://doi.org/10.1007/JHEP05(2017)001	journal	May 2017
The large $N$ limit of superconformal field theories and supergravity Maldacena, Juan Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2 https://doi.org/10.4310/ATMP.1998.v2.n2.a1	journal	January 1998
Fate of spin polarization in a relativistic fluid: An entropy-current analysis Hattori, Koichi; Hongo, Masaru; Huang, Xu-Guang Physics Letters B, Vol. 795 https://doi.org/10.1016/j.physletb.2019.05.040	journal	August 2019
Charged and rotating AdS black holes and their CFT duals Hawking, S. W.; Reall, H. S. Physical Review D, Vol. 61, Issue 2 https://doi.org/10.1103/PhysRevD.61.024014	journal	December 1999
Gluodynamics and deconfinement phase transition under rotation from holography Chen, Xun; Zhang, Lin; Li, Danning Journal of High Energy Physics, Vol. 2021, Issue 7 https://doi.org/10.1007/JHEP07(2021)132	journal	July 2021
Holography and Colliding Gravitational Shock Waves in Asymptotically Ad S 5 Spacetime Chesler, Paul M.; Yaffe, Laurence G. Physical Review Letters, Vol. 106, Issue 2 https://doi.org/10.1103/PhysRevLett.106.021601	journal	January 2011
Ideal relativistic fluid limit for a medium with polarization Montenegro, David; Tinti, Leonardo; Torrieri, Giorgio Physical Review D, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevD.96.056012	journal	September 2017
Analytical formula for numerical evaluations of the Wigner rotation matrices at high spins Tajima, Naoki Physical Review C, Vol. 91, Issue 1 https://doi.org/10.1103/PhysRevC.91.014320	journal	January 2015
Generalised global symmetries in holography: magnetohydrodynamic waves in a strongly interacting plasma Grozdanov, Sašo; Poovuttikul, Napat Journal of High Energy Physics, Vol. 2019, Issue 4 https://doi.org/10.1007/JHEP04(2019)141	journal	April 2019
Chiral hydrodynamics in strong external magnetic fields Ammon, Martin; Grieninger, Sebastian; Hernandez, Juan Journal of High Energy Physics, Vol. 2021, Issue 4 https://doi.org/10.1007/JHEP04(2021)078	journal	April 2021
Stability of Five-Dimensional Myers-Perry Black Holes with Equal Angular Momenta Murata, K.; Soda, J. Progress of Theoretical Physics, Vol. 120, Issue 3 https://doi.org/10.1143/PTP.120.561	journal	September 2008
Shear transport far from equilibrium via holography Wondrak, Michael F.; Kaminski, Matthias; Bleicher, Marcus Physics Letters B, Vol. 811 https://doi.org/10.1016/j.physletb.2020.135973	journal	December 2020
Hydrodynamic gradient expansion in linear response theory Heller, Michal P.; Serantes, Alexandre; Spaliński, Michał Physical Review D, Vol. 104, Issue 6 https://doi.org/10.1103/PhysRevD.104.066002	journal	September 2021
Quasinormal modes and holography Kovtun, Pavel K.; Starinets, Andrei O. Physical Review D, Vol. 72, Issue 8 https://doi.org/10.1103/PhysRevD.72.086009	journal	October 2005
Constraints on quasinormal modes and bounds for critical points from pole-skipping Abbasi, Navid; Kaminski, Matthias Journal of High Energy Physics, Vol. 2021, Issue 3 https://doi.org/10.1007/JHEP03(2021)265	journal	March 2021
Spin tensor and its role in non-equilibrium thermodynamics Becattini, Francesco; Florkowski, Wojciech; Speranza, Enrico Physics Letters B, Vol. 789 https://doi.org/10.1016/j.physletb.2018.12.016	journal	February 2019
Spin tensor and pseudo-gauges: from nuclear collisions to gravitational physics Speranza, Enrico; Weickgenannt, Nora The European Physical Journal A, Vol. 57, Issue 5 https://doi.org/10.1140/epja/s10050-021-00455-2	journal	May 2021
Complexified quasinormal modes and the pole-skipping in a holographic system at finite chemical potential Abbasi, Navid; Tahery, Sara Journal of High Energy Physics, Vol. 2020, Issue 10 https://doi.org/10.1007/JHEP10(2020)076	journal	October 2020
Inverted c-functions in thermal states Cartwright, Casey; Kaminski, Matthias Journal of High Energy Physics, Vol. 2022, Issue 1 https://doi.org/10.1007/JHEP01(2022)161	journal	January 2022
Entropy production far from equilibrium in a chiral charged plasma in the presence of external electromagnetic fields Cartwright, Casey Journal of High Energy Physics, Vol. 2021, Issue 1 https://doi.org/10.1007/JHEP01(2021)041	journal	January 2021
Publisher’s Note: Ideal relativistic fluid limit for a medium with polarization [Phys. Rev. D 96 , 056012 (2017)] Montenegro, David; Tinti, Leonardo; Torrieri, Giorgio Physical Review D, Vol. 96, Issue 7 https://doi.org/10.1103/PhysRevD.96.079901	journal	October 2017
Instabilities of Kerr-AdS5 xS5 Spacetime Murata, K. Progress of Theoretical Physics, Vol. 121, Issue 5 https://doi.org/10.1143/PTP.121.1099	journal	May 2009
Convergence of the Gradient Expansion in Hydrodynamics Grozdanov, Sašo; Kovtun, Pavel K.; Starinets, Andrei O. Physical Review Letters, Vol. 122, Issue 25 https://doi.org/10.1103/PhysRevLett.122.251601	journal	June 2019
Relativistic dissipative spin dynamics in the relaxation time approximation Bhadury, Samapan; Florkowski, Wojciech; Jaiswal, Amaresh Physics Letters B, Vol. 814 https://doi.org/10.1016/j.physletb.2021.136096	journal	March 2021
Generalized global symmetries and dissipative magnetohydrodynamics Grozdanov, Sašo; Hofman, Diego M.; Iqbal, Nabil Physical Review D, Vol. 95, Issue 9 https://doi.org/10.1103/PhysRevD.95.096003	journal	May 2017
Spin-dependent distribution functions for relativistic hydrodynamics of spin- 1 2 particles Florkowski, Wojciech; Friman, Bengt; Jaiswal, Amaresh Physical Review D, Vol. 97, Issue 11 https://doi.org/10.1103/PhysRevD.97.116017	journal	June 2018
Hydrodynamics of spin currents Gallegos, Angel Domingo; Gürsoy, Umut; Yarom, Amos SciPost Physics, Vol. 11, Issue 2 https://doi.org/10.21468/SciPostPhys.11.2.041	journal	January 2021
Rotation and the AdS-CFT correspondence Hawking, S. W.; Hunter, C. J.; Taylor-Robinson, M. M. Physical Review D, Vol. 59, Issue 6 https://doi.org/10.1103/PhysRevD.59.064005	journal	February 1999
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
Quasinormal modes in charged fluids at complex momentum Jansen, Aron; Pantelidou, Christiana Journal of High Energy Physics, Vol. 2020, Issue 10 https://doi.org/10.1007/JHEP10(2020)121	journal	October 2020
Polarization and Vorticity in the Quark–Gluon Plasma Becattini, Francesco; Lisa, Michael A. Annual Review of Nuclear and Particle Science, Vol. 70, Issue 1 https://doi.org/10.1146/annurev-nucl-021920-095245	journal	October 2020
Nondissipative Second-Order Transport, Spin, and Pseudogauge Transformations in Hydrodynamics Li, Shiyong; Stephanov, Mikhail A.; Yee, Ho-Ung Physical Review Letters, Vol. 127, Issue 8 https://doi.org/10.1103/PhysRevLett.127.082302	journal	August 2021
Holographic heavy-ion collisions: Analytic solutions with longitudinal flow, elliptic flow and vorticity Bantilan, Hans; Ishii, Takaaki; Romatschke, Paul Physics Letters B, Vol. 785 https://doi.org/10.1016/j.physletb.2018.08.038	journal	October 2018
Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids Garbiso, Markus; Kaminski, Matthias Journal of High Energy Physics, Vol. 2020, Issue 12 https://doi.org/10.1007/JHEP12(2020)112	journal	December 2020
Relativistic fluid dynamics with spin Florkowski, Wojciech; Friman, Bengt; Jaiswal, Amaresh Physical Review C, Vol. 97, Issue 4 https://doi.org/10.1103/PhysRevC.97.041901	journal	April 2018
Convergence of hydrodynamic modes: insights from kinetic theory and holography Heller, Michal P.; Serantes, Alexandre; Spalinski, Michal SciPost Physics, Vol. 10, Issue 6 https://doi.org/10.21468/SciPostPhys.10.6.123	journal	January 2021
Relativistic Fluid Dynamics in and out of Equilibrium Romatschke, Paul; Romatschke, Ulrike https://doi.org/10.1017/9781108651998	book	January 2019
Transport properties of the quark-gluon plasma: A lattice QCD perspective Meyer, Harvey B. The European Physical Journal A, Vol. 47, Issue 7 https://doi.org/10.1140/epja/i2011-11086-3	journal	July 2011
Relativistic hydrodynamics for spin-polarized fluids Florkowski, Wojciech; Kumar, Avdhesh; Ryblewski, Radoslaw Progress in Particle and Nuclear Physics, Vol. 108 https://doi.org/10.1016/j.ppnp.2019.07.001	journal	September 2019
Spin hydrodynamics and symmetric energy-momentum tensors – A current induced by the spin vorticity – Fukushima, Kenji; Pu, Shi Physics Letters B, Vol. 817 https://doi.org/10.1016/j.physletb.2021.136346	journal	June 2021
Short-lived modes from hydrodynamic dispersion relations Withers, Benjamin Journal of High Energy Physics, Vol. 2018, Issue 6 https://doi.org/10.1007/JHEP06(2018)059	journal	June 2018
Thermodynamics of asymptotically locally AdS spacetimes Papadimitriou, Ioannis; Skenderis, Kostas Journal of High Energy Physics, Vol. 2005, Issue 08 https://doi.org/10.1088/1126-6708/2005/08/004	journal	August 2005
Challenges in solving chiral hydrodynamics Speranza, Enrico; Bemfica, Fábio S.; Disconzi, Marcelo M. Physical Review D, Vol. 107, Issue 5 https://doi.org/10.1103/PhysRevD.107.054029	journal	March 2023
Characteristic momentum of Hydro+ and a bound on the enhancement of the speed of sound near the QCD critical point Abbasi, Navid; Kaminski, Matthias Physical Review D, Vol. 106, Issue 1 https://doi.org/10.1103/PhysRevD.106.016004	journal	July 2022