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Balasubramanian, V.; Bernamonti, A.; Craps, B.; Keränen, V.; Keski-Vakkuri, E.; Müller, B.; Thorlacius, L.; Vanhoof, J.

Thermalization of the spectral function in strongly coupled two dimensional conformal field theories. (English) Zbl 1342.81476

J. High Energy Phys. 2013, No. 4, Paper No. 069, 50 p. (2013).
Summary: Using Wigner transforms of Green functions, we discuss non-equilibrium generalizations of spectral functions and occupation numbers. We develop methods for computing time-dependent spectral functions in conformal field theories holographically dual to thin-shell AdS-Vaidya spacetimes.

Cited in 27 Documents

MSC:

81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
83C47 Methods of quantum field theory in general relativity and gravitational theory

Keywords:

gauge-gravity correspondence; holography and quark-gluon plasmas
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\textit{V. Balasubramanian} et al., J. High Energy Phys. 2013, No. 4, Paper No. 069, 50 p. (2013; Zbl 1342.81476)
Full Text: DOI arXiv

References:

[1] B.V. Jacak and B. Müller, The exploration of hot nuclear matter, Science337 (2012) 310 [INSPIRE].
[2] T. Lappi and L. McLerran, Some features of the glasma, Nucl. Phys. A 772 (2006) 200 [hep-ph/0602189] [INSPIRE].
[3] K. Dusling, T. Epelbaum, F. Gelis and R. Venugopalan, Quantum chaos in the perfect fluid: spectrum of initial fluctuations in the little bang, arXiv:1210.6053 [INSPIRE].
[4] P.M. Chesler and L.G. Yaffe, Holography and colliding gravitational shock waves in asymptotically AdS5spacetime, Phys. Rev. Lett. 106 (2011) 021601 [arXiv:1011.3562] [INSPIRE].
[5] M.P. Heller, R.A. Janik and P. Witaszczyk, The characteristics of thermalization of boost-invariant plasma from holography, Phys. Rev. Lett. 108 (2012) 201602 [arXiv:1103.3452] [INSPIRE].
[6] M.P. Heller, R.A. Janik and P. Witaszczyk, A numerical relativity approach to the initial value problem in asymptotically Anti-de Sitter spacetime for plasma thermalization — An ADM formulation, Phys. Rev. D 85 (2012) 126002 [arXiv:1203.0755] [INSPIRE].
[7] 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]. · Zbl 1216.83028
[8] S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT, Phys. Rev. Lett. 96 (2006) 181602 [hep-th/0603001] [INSPIRE]. · Zbl 1228.83110
[9] S. Ryu and T. Takayanagi, Aspects of holographic entanglement entropy, JHEP08 (2006) 045 [hep-th/0605073] [INSPIRE].
[10] V.E. Hubeny, M. Rangamani and T. Takayanagi, A covariant holographic entanglement entropy proposal, JHEP07 (2007) 062 [arXiv:0705.0016] [INSPIRE].
[11] T. Banks, M.R. Douglas, G.T. Horowitz and E.J. Martinec, AdS dynamics from conformal field theory, hep-th/9808016 [INSPIRE].
[12] J. Abajo-Arrastia, J. Aparicio and E. Lopez, Holographic evolution of entanglement entropy, JHEP11 (2010) 149 [arXiv:1006.4090] [INSPIRE]. · Zbl 1294.81128
[13] 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]. · Zbl 1448.83015
[14] V. Balasubramanian et al., Thermalization of strongly coupled field theories, Phys. Rev. Lett.106 (2011) 191601 [arXiv:1012.4753] [INSPIRE].
[15] V. Balasubramanian et al., Holographic thermalization, Phys. Rev. D 84 (2011) 026010 [arXiv:1103.2683] [INSPIRE].
[16] V. Balasubramanian, A. Bernamonti, N. Copland, B. Craps and F. Galli, Thermalization of mutual and tripartite information in strongly coupled two dimensional conformal field theories, Phys. Rev. D 84 (2011) 105017 [arXiv:1110.0488] [INSPIRE].
[17] A. Allais and E. Tonni, Holographic evolution of the mutual information, JHEP01 (2012) 102 [arXiv:1110.1607] [INSPIRE]. · Zbl 1306.81144
[18] P. Calabrese and J.L. Cardy, Evolution of entanglement entropy in one-dimensional systems, J. Stat. Mech. (2005) P04010 [cond-mat/0503393]. · Zbl 1456.82578
[19] P. Calabrese and J. Cardy, Entanglement entropy and conformal field theory, J. Phys. A 42 (2009) 504005 [arXiv:0905.4013] [INSPIRE]. · Zbl 1179.81026
[20] S. Caron-Huot, P.M. Chesler and D. Teaney, Fluctuation, dissipation and thermalization in non-equilibrium AdS5black hole geometries, Phys. Rev. D 84 (2011) 026012 [arXiv:1102.1073] [INSPIRE].
[21] P.M. Chesler and D. Teaney, Dynamical Hawking radiation and holographic thermalization, arXiv:1112.6196 [INSPIRE].
[22] P.M. Chesler and D. Teaney, Dilaton emission and absorption from far-from-equilibrium non-abelian plasma, arXiv:1211.0343 [INSPIRE].
[23] 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].
[24] M.P. Heller, D. Mateos, W. van der Schee and D. Trancanelli, Strong coupling isotropization of non-abelian plasmas simplified, Phys. Rev. Lett. 108 (2012) 191601 [arXiv:1202.0981] [INSPIRE].
[25] W. van der Schee, Holographic thermalization with radial flow, Phys. Rev. D 87 (2013), 061901 [arXiv:1211.2218] [INSPIRE].
[26] J. Aparicio and E. Lopez, Evolution of two-point functions from holography, JHEP12 (2011) 082 [arXiv:1109.3571] [INSPIRE]. · Zbl 1306.81145
[27] S. Banerjee, R. Iyer and A. Mukhopadhyay, The holographic spectral function in non-equilibrium states, Phys. Rev. D 85 (2012) 106009 [arXiv:1202.1521] [INSPIRE].
[28] A. Mukhopadhyay, Non-equilibrium fluctuation-dissipation relation from holography, Phys. Rev. D 87, 066004 (2013) [arXiv:1206.3311] [INSPIRE].
[29] P. Kovtun and A. Starinets, Thermal spectral functions of strongly coupled N = 4 supersymmetric Yang-Mills theory, Phys. Rev. Lett. 96 (2006) 131601 [hep-th/0602059] [INSPIRE].
[30] D. Teaney, Finite temperature spectral densities of momentum and R-charge correlators in N = 4 Yang-Mills theory, Phys. Rev. D 74 (2006) 045025 [hep-ph/0602044] [INSPIRE].
[31] M. Hillery et al., Distribution functions in physics: fundamentals, Phys. Rept.106 (1984) 121.
[32] K. Husimi, Some formal properties of the density matrix, Proc. Phys. Math. Soc. Japan22 (1940) 264. · JFM 66.1175.02
[33] V. Balasubramanian and S.F. Ross, Holographic particle detection, Phys. Rev. D 61 (2000) 044007 [hep-th/9906226] [INSPIRE].
[34] P. Kraus, H. Ooguri and S. Shenker, Inside the horizon with AdS/CFT, Phys. Rev. D 67 (2003) 124022 [hep-th/0212277] [INSPIRE].
[35] L. Fidkowski, V. Hubeny, M. Kleban and S. Shenker, The black hole singularity in AdS/CFT, JHEP02 (2004) 014 [hep-th/0306170] [INSPIRE].
[36] G. Festuccia and H. Liu, Excursions beyond the horizon: black hole singularities in Yang-Mills theories. I, JHEP04 (2006) 044 [hep-th/0506202] [INSPIRE].
[37] S. de Haro, S.N. Solodukhin and K. Skenderis, Holographic reconstruction of space-time and renormalization in the AdS/CFT correspondence, Commun. Math. Phys.217 (2001) 595 [hep-th/0002230] [INSPIRE]. · Zbl 0984.83043
[38] J.I. Kapusta, Finite temperature field theory (1989). · Zbl 0743.70020
[39] D.T. Son and A.O. Starinets, Minkowski space correlators in AdS/CFT correspondence: recipe and applications, JHEP09 (2002) 042 [hep-th/0205051] [INSPIRE].
[40] N. Iqbal and H. Liu, Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm, Phys. Rev. D 79 (2009) 025023 [arXiv:0809.3808] [INSPIRE].
[41] G.T. Horowitz and V.E. Hubeny, Quasinormal modes of AdS black holes and the approach to thermal equilibrium, Phys. Rev. D 62 (2000) 024027 [hep-th/9909056] [INSPIRE].
[42] R.H. Brandenberger, T. Prokopec and V.F. Mukhanov, The entropy of the gravitational field, Phys. Rev. D 48 (1993) 2443 [gr-qc/9208009] [INSPIRE]. · Zbl 1311.92141
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