Abstract
It is interesting to ask how a confinement scale affects the thermalization of strongly coupled gauge theories with gravity duals. We study this question for the AdS soliton model, which underlies top-down holographic models for Yang-Mills theory and QCD. Injecting energy via a homogeneous massless scalar source that is briefly turned on, our fully backreacted numerical analysis finds two regimes. Either a black brane forms, possibly after one or more bounces, after which the pressure components relax according to the lowest quasinormal mode. Or the scalar shell keeps scattering, in which case the pressure components oscillate and undergo modulation on time scales independent of the (small) shell amplitude. We show analytically that the scattering shell cannot relax to a homogeneous equilibrium state, and explain the modulation as due to a near-resonance between a normal mode frequency of the metric and the frequency with which the scalar shell oscillates.
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Y.V. Kovchegov and A. Taliotis, Early time dynamics in heavy ion collisions from AdS/CFT correspondence, Phys. Rev. C 76 (2007) 014905 [arXiv:0705.1234] [INSPIRE].
J.L. Albacete, Y.V. Kovchegov and A. Taliotis, Modeling heavy ion collisions in AdS/CFT, JHEP 07 (2008) 100 [arXiv:0805.2927] [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].
G. Beuf, M.P. Heller, R.A. Janik and R. Peschanski, Boost-invariant early time dynamics from AdS/CFT, JHEP 10 (2009) 043 [arXiv:0906.4423] [INSPIRE].
J. Abajo-Arrastia, J. Aparicio and E. Lopez, Holographic evolution of entanglement entropy, JHEP 11 (2010) 149 [arXiv:1006.4090] [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].
V. Balasubramanian et al., Thermalization of strongly coupled field theories, Phys. Rev. Lett. 106 (2011) 191601 [arXiv:1012.4753] [INSPIRE].
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].
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].
V. Balasubramanian et al., Inhomogeneous thermalization in strongly coupled field theories, Phys. Rev. Lett. 111 (2013) 231602 [arXiv:1307.1487] [INSPIRE].
S. Lin and E. Shuryak, Toward the AdS/CFT gravity dual for high energy collisions. 3. Gravitationally collapsing shell and quasiequilibrium, Phys. Rev. D 78 (2008) 125018 [arXiv:0808.0910] [INSPIRE].
B. Craps, E. Kiritsis, C. Rosen, A. Taliotis, J. Vanhoof and H.-b. Zhang, Gravitational collapse and thermalization in the hard wall model, JHEP 02 (2014) 120 [arXiv:1311.7560] [INSPIRE].
B. Craps, E.J. Lindgren, A. Taliotis, J. Vanhoof and H.-b. Zhang, Holographic gravitational infall in the hard wall model, Phys. Rev. D 90 (2014) 086004 [arXiv:1406.1454] [INSPIRE].
S. Bhattacharyya and S. Minwalla, Weak field black hole formation in asymptotically AdS spacetimes, JHEP 09 (2009) 034 [arXiv:0904.0464] [INSPIRE].
P. Bizon and A. Rostworowski, On weakly turbulent instability of Anti-de Sitter space, Phys. Rev. Lett. 107 (2011) 031102 [arXiv:1104.3702] [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].
T. Sakai and S. Sugimoto, Low energy hadron physics in holographic QCD, Prog. Theor. Phys. 113 (2005) 843 [hep-th/0412141] [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].
J.F. Fuini and L.G. Yaffe, Far-from-equilibrium dynamics of a strongly coupled non-Abelian plasma with non-zero charge density or external magnetic field, JHEP 07 (2015) 116 [arXiv:1503.07148] [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].
T. Ishii, E. Kiritsis and C. Rosen, Thermalization in a holographic confining gauge theory, JHEP 08 (2015) 008 [arXiv:1503.07766] [INSPIRE].
G.W. Gibbons and S.W. Hawking, Action integrals and partition functions in quantum gravity, Phys. Rev. D 15 (1977) 2752 [INSPIRE].
B. Wu, On holographic thermalization and gravitational collapse of massless scalar fields, JHEP 10 (2012) 133 [arXiv:1208.1393] [INSPIRE].
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].
K. Skenderis, Lecture notes on holographic renormalization, Class. Quant. Grav. 19 (2002) 5849 [hep-th/0209067] [INSPIRE].
I. Papadimitriou, Holographic Renormalization of general dilaton-axion gravity, JHEP 08 (2011) 119 [arXiv:1106.4826] [INSPIRE].
E. Jones et al., SciPy: open source scientific tools for Python, http://www.scipy.org/.
A. Savitzky and M.J.E. Golay, Smoothing and differentiation of data by simplified least squares procedures, Analit. Chem. 36 (1964) 1627.
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].
P. Bizon and J. JalmuŻna, Globally regular instability of AdS 3, Phys. Rev. Lett. 111 (2013) 041102 [arXiv:1306.0317] [INSPIRE].
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Craps, B., Lindgren, E. & Taliotis, A. Holographic thermalization in a top-down confining model. J. High Energ. Phys. 2015, 1–32 (2015). https://doi.org/10.1007/JHEP12(2015)116
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DOI: https://doi.org/10.1007/JHEP12(2015)116