Abstract
We investigate the poles of the retarded Green’s functions of strongly coupled field theories exhibiting a variety of phase structures from a crossover up to different first order phase transitions. These theories are modeled by a dual gravitational description. The poles of the holographic Green’s functions appear at the frequencies of the quasinormal modes of the dual black hole background. We focus on quantifying linearized level dynamical response of the system in the critical region of phase diagram. Generically non-hydrodynamic degrees of freedom are important for the low energy physics in the vicinity of a phase transition. For a model with linear confinement in the meson spectrum we find degeneracy of hydrodynamic and non-hydrodynamic modes close to the minimal black hole temperature, and we establish a region of temperatures with unstable non-hydrodynamic modes in a branch of black hole solutions.
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References
J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [hep-th/9711200] [INSPIRE].
J. Casalderrey-Solana, H. Liu, D. Mateos, K. Rajagopal and U.A. Wiedemann, Gauge/String Duality, Hot QCD and Heavy Ion Collisions, arXiv:1101.0618 [INSPIRE].
P.K. Kovtun and A.O. Starinets, Quasinormal modes and holography, Phys. Rev. D 72 (2005) 086009 [hep-th/0506184] [INSPIRE].
P. Benincasa, A. Buchel and A.O. Starinets, Sound waves in strongly coupled non-conformal gauge theory plasma, Nucl. Phys. B 733 (2006) 160 [hep-th/0507026] [INSPIRE].
U. Gürsoy, S. Lin and E. Shuryak, Instabilities near the QCD phase transition in the holographic models, Phys. Rev. D 88 (2013) 105021 [arXiv:1309.0789] [INSPIRE].
R.A. Janik, G. Plewa, H. Soltanpanahi and M. Spalinski, Linearized nonequilibrium dynamics in nonconformal plasma, Phys. Rev. D 91 (2015) 126013 [arXiv:1503.07149] [INSPIRE].
A. Buchel, M.P. Heller and R.C. Myers, Equilibration rates in a strongly coupled nonconformal quark-gluon plasma, Phys. Rev. Lett. 114 (2015) 251601 [arXiv:1503.07114] [INSPIRE].
A. Buchel and A. Day, Universal relaxation in quark-gluon plasma at strong coupling, Phys. Rev. D 92 (2015) 026009 [arXiv:1505.05012] [INSPIRE].
M. Attems et al., Thermodynamics, transport and relaxation in non-conformal theories, arXiv:1603.01254 [INSPIRE].
M. Ali-Akbari, F. Charmchi, H. Ebrahim and L. Shahkarami, Various Time-Scales of Relaxation, arXiv:1602.07903 [INSPIRE].
R. Rougemont, A. Ficnar, S. Finazzo and J. Noronha, Energy loss, equilibration and thermodynamics of a baryon rich strongly coupled quark-gluon plasma, JHEP 04 (2016) 102 [arXiv:1507.06556] [INSPIRE].
U. Gürsoy, A. Jansen, W. Sybesma and S. Vandoren, Holographic Equilibration of Nonrelativistic Plasmas, arXiv:1602.01375 [INSPIRE].
R.A. Janik, J. Jankowski and H. Soltanpanahi, Non-equilibrium dynamics and phase transitions, arXiv:1512.06871 [INSPIRE].
S. Borsányi et al., QCD equation of state at nonzero chemical potential: continuum results with physical quark masses at order mu 2, JHEP 08 (2012) 053 [arXiv:1204.6710] [INSPIRE].
S.S. Gubser and A. Nellore, Mimicking the QCD equation of state with a dual black hole, Phys. Rev. D 78 (2008) 086007 [arXiv:0804.0434] [INSPIRE].
U. Gürsoy and E. Kiritsis, Exploring improved holographic theories for QCD: Part I, JHEP 02 (2008) 032 [arXiv:0707.1324] [INSPIRE].
U. Gürsoy, E. Kiritsis, L. Mazzanti and F. Nitti, Holography and Thermodynamics of 5D Dilaton-gravity, JHEP 05 (2009) 033 [arXiv:0812.0792] [INSPIRE].
U. Gürsoy, E. Kiritsis, L. Mazzanti and F. Nitti, Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD, Phys. Rev. Lett. 101 (2008) 181601 [arXiv:0804.0899] [INSPIRE].
S.W. Hawking and D.N. Page, Thermodynamics of Black Holes in anti-de Sitter Space, Commun. Math. Phys. 87 (1983) 577 [INSPIRE].
P. Breitenlohner and D.Z. Freedman, Positive Energy in anti-de Sitter Backgrounds and Gauged Extended Supergravity, Phys. Lett. B 115 (1982) 197 [INSPIRE].
P. Breitenlohner and D.Z. Freedman, Stability in Gauged Extended Supergravity, Annals Phys. 144 (1982) 249 [INSPIRE].
P. Grandclement and J. Novak, Spectral methods for numerical relativity, Living Rev. Rel. 12 (2009) 1 [arXiv:0706.2286] [INSPIRE].
E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131] [INSPIRE].
S.S. Gubser, A. Nellore, S.S. Pufu and F.D. Rocha, Thermodynamics and bulk viscosity of approximate black hole duals to finite temperature quantum chromodynamics, Phys. Rev. Lett. 101 (2008) 131601 [arXiv:0804.1950] [INSPIRE].
S.S. Gubser, Curvature singularities: the good, the bad and the naked, Adv. Theor. Math. Phys. 4 (2000) 679 [hep-th/0002160] [INSPIRE].
M.P. Heller, R.A. Janik and P. Witaszczyk, Hydrodynamic Gradient Expansion in Gauge Theory Plasmas, Phys. Rev. Lett. 110 (2013) 211602 [arXiv:1302.0697] [INSPIRE].
P. Kovtun, D.T. Son and A.O. Starinets, Viscosity in strongly interacting quantum field theories from black hole physics, Phys. Rev. Lett. 94 (2005) 111601 [hep-th/0405231] [INSPIRE].
R.A. Janik, Viscous plasma evolution from gravity using AdS/CFT, Phys. Rev. Lett. 98 (2007) 022302 [hep-th/0610144] [INSPIRE].
K. Landsteiner, The Sound of Strongly Coupled Field Theories: Quasinormal Modes In AdS, AIP Conf. Proc. 1458 (2011) 174 [arXiv:1202.3550] [INSPIRE].
P. Chomaz, M. Colonna and J. Randrup, Nuclear spinodal fragmentation, Phys. Rept. 389 (2004) 263 [INSPIRE].
H.B. Meyer, A Calculation of the bulk viscosity in SU(3) gluodynamics, Phys. Rev. Lett. 100 (2008) 162001 [arXiv:0710.3717] [INSPIRE].
F. Karsch, D. Kharzeev and K. Tuchin, Universal properties of bulk viscosity near the QCD phase transition, Phys. Lett. B 663 (2008) 217 [arXiv:0711.0914] [INSPIRE].
A. Bazavov et al., Equation of state and QCD transition at finite temperature, Phys. Rev. D 80 (2009) 014504 [arXiv:0903.4379] [INSPIRE].
Wuppertal-Budapest collaboration, S. Borsányi et al., Is there still any T c mystery in lattice QCD? Results with physical masses in the continuum limit III, JHEP 09 (2010) 073 [arXiv:1005.3508] [INSPIRE].
S.S. Gubser and I. Mitra, Instability of charged black holes in Anti-de Sitter space, hep-th/0009126 [INSPIRE].
A. Buchel, A Holographic perspective on Gubser-Mitra conjecture, Nucl. Phys. B 731 (2005) 109 [hep-th/0507275] [INSPIRE].
R. Gregory and R. Laflamme, Black strings and p-branes are unstable, Phys. Rev. Lett. 70 (1993) 2837 [hep-th/9301052] [INSPIRE].
A. Karch, E. Katz, D.T. Son and M.A. Stephanov, Linear confinement and AdS/QCD, Phys. Rev. D 74 (2006) 015005 [hep-ph/0602229] [INSPIRE].
G. Boyd et al., Thermodynamics of SU(3) lattice gauge theory, Nucl. Phys. B 469 (1996) 419 [hep-lat/9602007] [INSPIRE].
I. Amado, M. Kaminski and K. Landsteiner, Hydrodynamics of Holographic Superconductors, JHEP 05 (2009) 021 [arXiv:0903.2209] [INSPIRE].
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ArXiv ePrint: 1603.05950
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Janik, R.A., Jankowski, J. & Soltanpanahi, H. Quasinormal modes and the phase structure of strongly coupled matter. J. High Energ. Phys. 2016, 47 (2016). https://doi.org/10.1007/JHEP06(2016)047
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DOI: https://doi.org/10.1007/JHEP06(2016)047