Abstract
We consider holographic thermalization in the presence of a Weyl correction in five dimensional AdS space. We first obtain the Weyl corrected black brane solution perturbatively, up to first order in the coupling. The corresponding AdS-Vaidya like solution is then constructed. This is then used to numerically analyze the time dependence of the two point correlation functions and the expectation values of rectangular Wilson loops in the boundary field theory, and we discuss how the Weyl correction can modify the thermalization time scales in the dual field theory. In this context, the subtle interplay between the Weyl coupling constant and the chemical potential is studied in detail.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
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].
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
D.T. Son and A.O. Starinets, Minkowski space correlators in AdS/CFT correspondence: Recipe and applications, JHEP 09 (2002) 042 [hep-th/0205051] [INSPIRE].
D.T. Son and A.O. Starinets, Viscosity, Black Holes and Quantum Field Theory, Ann. Rev. Nucl. Part. Sci. 57 (2007) 95 [arXiv:0704.0240] [INSPIRE].
V.E. Hubeny and M. Rangamani, A holographic view on physics out of equilibrium, Adv. High Energy Phys. 2010 (2010) 297916 [arXiv:1006.3675] [INSPIRE].
E. Shuryak, Why does the quark gluon plasma at RHIC behave as a nearly ideal fluid?, Prog. Part. Nucl. Phys. 53 (2004) 273 [hep-ph/0312227] [INSPIRE].
G. Policastro, D.T. Son and A.O. Starinets, The Shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma, Phys. Rev. Lett. 87 (2001) 081601 [hep-th/0104066] [INSPIRE].
G. Policastro, D.T. Son and A.O. Starinets, From AdS/CFT correspondence to hydrodynamics, JHEP 09 (2002) 043 [hep-th/0205052] [INSPIRE].
A. Buchel, J.T. Liu and A.O. Starinets, Coupling constant dependence of the shear viscosity in N = 4 supersymmetric Yang-Mills theory, Nucl. Phys. B 707 (2005) 56 [hep-th/0406264] [INSPIRE].
M. Brigante, H. Liu, R.C. Myers, S. Shenker and S. Yaida, The Viscosity Bound and Causality Violation, Phys. Rev. Lett. 100 (2008) 191601 [arXiv:0802.3318] [INSPIRE].
U.W. Heinz, The quark gluon plasma at RHIC, Nucl. Phys. A 721 (2003) 30 [nucl-th/0212004] [INSPIRE].
U.H. Danielsson, E. Keski-Vakkuri and M. Kruczenski, Black hole formation in AdS and thermalization on the boundary, JHEP 02 (2000) 039 [hep-th/9912209] [INSPIRE].
R.A. Janik and R.B. Peschanski, Gauge/gravity duality and thermalization of a boost-invariant perfect fluid, Phys. Rev. D 74 (2006) 046007 [hep-th/0606149] [INSPIRE].
R.A. Janik, Viscous plasma evolution from gravity using AdS/CFT, Phys. Rev. Lett. 98 (2007) 022302 [hep-th/0610144] [INSPIRE].
P.M. Chesler and L.G. Yaffe, Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma, Phys. Rev. Lett. 102 (2009) 211601 [arXiv:0812.2053] [INSPIRE].
S. Bhattacharyya and S. Minwalla, Weak Field Black Hole Formation in Asymptotically AdS Spacetimes, JHEP 09 (2009) 034 [arXiv:0904.0464] [INSPIRE].
P.M. Chesler and L.G. Yaffe, Boost invariant flow, black hole formation and far-from-equilibrium dynamics in N = 4 supersymmetric Yang-Mills theory, Phys. Rev. D 82 (2010) 026006 [arXiv:0906.4426] [INSPIRE].
D. Garfinkle and L.A. Pando Zayas, Rapid Thermalization in Field Theory from Gravitational Collapse, Phys. Rev. D 84 (2011) 066006 [arXiv:1106.2339] [INSPIRE].
D. Garfinkle, L.A. Pando Zayas and D. Reichmann, On Field Theory Thermalization from Gravitational Collapse, JHEP 02 (2012) 119 [arXiv:1110.5823] [INSPIRE].
B. Wu, On holographic thermalization and gravitational collapse of massless scalar fields, JHEP 10 (2012) 133 [arXiv:1208.1393] [INSPIRE].
E. Caceres, A. Kundu, J.F. Pedraza and D.-L. Yang, Weak Field Collapse in AdS: Introducing a Charge Density, JHEP 06 (2015) 111 [arXiv:1411.1744] [INSPIRE].
V. Balasubramanian et al., Thermalization of Strongly Coupled Field Theories, Phys. Rev. Lett. 106 (2011) 191601 [arXiv:1012.4753] [INSPIRE].
V. Balasubramanian et al., Holographic Thermalization, Phys. Rev. D 84 (2011) 026010 [arXiv:1103.2683] [INSPIRE].
P. Calabrese and J.L. Cardy, Time-dependence of correlation functions following a quantum quench, Phys. Rev. Lett. 96 (2006) 136801 [cond-mat/0601225] [INSPIRE].
R. Baier, A.H. Mueller, D. Schiff and D.T. Son, ‘Bottom up’ thermalization in heavy ion collisions, Phys. Lett. B 502 (2001) 51 [hep-ph/0009237] [INSPIRE].
D. Galante and M. Schvellinger, Thermalization with a chemical potential from AdS spaces, JHEP 07 (2012) 096 [arXiv:1205.1548] [INSPIRE].
E. Caceres and A. Kundu, Holographic Thermalization with Chemical Potential, JHEP 09 (2012) 055 [arXiv:1205.2354] [INSPIRE].
X.-X. Zeng, X.-M. Liu and W.-B. Liu, Holographic thermalization with a chemical potential in Gauss-Bonnet gravity, JHEP 03 (2014) 031 [arXiv:1311.0718] [INSPIRE].
Y.-Z. Li, S.-F. Wu and G.-H. Yang, Gauss-Bonnet correction to Holographic thermalization: two-point functions, circular Wilson loops and entanglement entropy, Phys. Rev. D 88 (2013) 086006 [arXiv:1309.3764] [INSPIRE].
G. Camilo, B. Cuadros-Melgar and E. Abdalla, Holographic thermalization with a chemical potential from Born-Infeld electrodynamics, JHEP 02 (2015) 103 [arXiv:1412.3878] [INSPIRE].
M. Alishahiha, A.F. Astaneh and M.R.M. Mozaffar, Thermalization in backgrounds with hyperscaling violating factor, Phys. Rev. D 90 (2014) 046004 [arXiv:1401.2807] [INSPIRE].
P. Fonda, L. Franti, V. Keränen, E. Keski-Vakkuri, L. Thorlacius and E. Tonni, Holographic thermalization with Lifshitz scaling and hyperscaling violation, JHEP 08 (2014) 051 [arXiv:1401.6088] [INSPIRE].
T. Albash and C.V. Johnson, Evolution of Holographic Entanglement Entropy after Thermal and Electromagnetic Quenches, New J. Phys. 13 (2011) 045017 [arXiv:1008.3027] [INSPIRE].
J.F. Pedraza, Evolution of nonlocal observables in an expanding boost-invariant plasma, Phys. Rev. D 90 (2014) 046010 [arXiv:1405.1724] [INSPIRE].
M. Alishahiha, M.R.M. Mozaffar and M.R. Tanhayi, On the Time Evolution of Holographic n-partite Information, JHEP 09 (2015) 165 [arXiv:1406.7677] [INSPIRE].
R.C. Myers, M.F. Paulos and A. Sinha, Holographic Hydrodynamics with a Chemical Potential, JHEP 06 (2009) 006 [arXiv:0903.2834] [INSPIRE].
X.O. Camanho, J.D. Edelstein, J. Maldacena and A. Zhiboedov, Causality Constraints on Corrections to the Graviton Three-Point Coupling, arXiv:1407.5597 [INSPIRE].
A. Ritz and J. Ward, Weyl corrections to holographic conductivity, Phys. Rev. D 79 (2009) 066003 [arXiv:0811.4195] [INSPIRE].
R.C. Myers, S. Sachdev and A. Singh, Holographic Quantum Critical Transport without Self-Duality, Phys. Rev. D 83 (2011) 066017 [arXiv:1010.0443] [INSPIRE].
D.M. Hofman and J. Maldacena, Conformal collider physics: Energy and charge correlations, JHEP 05 (2008) 012 [arXiv:0803.1467] [INSPIRE].
D.M. Hofman, Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT, Nucl. Phys. B 823 (2009) 174 [arXiv:0907.1625] [INSPIRE].
I.T. Drummond and S.J. Hathrell, QED Vacuum Polarization in a Background Gravitational Field and Its Effect on the Velocity of Photons, Phys. Rev. D 22 (1980) 343 [INSPIRE].
D. Anninos and G. Pastras, Thermodynamics of the Maxwell-Gauss-Bonnet anti-de Sitter Black Hole with Higher Derivative Gauge Corrections, JHEP 07 (2009) 030 [arXiv:0807.3478] [INSPIRE].
R.-G. Cai and D.-W. Pang, Holography of Charged Black Holes with RF 2 Corrections, Phys. Rev. D 84 (2011) 066004 [arXiv:1104.4453] [INSPIRE].
A. Giordano, N.E. Grandi and G.A. Silva, Holographic thermalization of charged operators, JHEP 05 (2015) 016 [arXiv:1412.7953] [INSPIRE].
V. Husain, Exact solutions for null fluid collapse, Phys. Rev. D 53 (1996) 1759 [gr-qc/9511011] [INSPIRE].
W. Baron, D. Galante and M. Schvellinger, Dynamics of holographic thermalization, JHEP 03 (2013) 070 [arXiv:1212.5234] [INSPIRE].
C. Barrabes and W. Israel, Thin shells in general relativity and cosmology: The lightlike limit, Phys. Rev. D 43 (1991) 1129 [INSPIRE].
E. Poisson, A Relativist’s Toolkit: The Mathematics of Black-Hole Mechanics, Cambridge University Press, Cambridge, U.K. (2004).
E. Caceres, A. Kundu, J.F. Pedraza and W. Tangarife, Strong Subadditivity, Null Energy Condition and Charged Black Holes, JHEP 01 (2014) 084 [arXiv:1304.3398] [INSPIRE].
J. Abajo-Arrastia, J. Aparicio and E. Lopez, Holographic Evolution of Entanglement Entropy, JHEP 11 (2010) 149 [arXiv:1006.4090] [INSPIRE].
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT, Phys. Rev. Lett. 96 (2006) 181602 [hep-th/0603001] [INSPIRE].
X. Dong, Holographic Entanglement Entropy for General Higher Derivative Gravity, JHEP 01 (2014) 044 [arXiv:1310.5713] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1510.00232
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Dey, A., Mahapatra, S. & Sarkar, T. Holographic thermalization with Weyl corrections. J. High Energ. Phys. 2016, 88 (2016). https://doi.org/10.1007/JHEP01(2016)088
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP01(2016)088