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 TMF, 2013, Volume 174, Number 2, Pages 216–227 (Mi tmf8429)

Holographic thermalization

I. Ya. Aref'eva, I. V. Volovich

Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia

Abstract: We consider the transition of a quantum field system toward the state of thermal equilibrium based on the holographic description using the duality between the quantum field system in the $d$-dimensional Minkowski space and the gravity theory in the $(d+1)$-dimensional anti-de Sitter space. In this construction, the thermalization in the $d$-dimensional space is described in the holographic language as the formation of a black hole in the $(d+1)$-dimensional space. We use a holographic model of thermalization of the quark–gluon plasma describing the black hole formation by the Vaidya metric. We show that evaporation of the black hole, also modeled by the Vaidya metric, leads to an interesting effect in the $d$-dimensional space: thermalization occurs only at small distances and is impossible in the infrared region. In the considered model, the thermal behavior at small distances is possible only during a certain time, after which the dethermalization process begins.

Keywords: AdS/CFT correspondence, thermalization, dethermalization, holography, holographic description of heavy-ion collisions

 Funding Agency Grant Number Russian Foundation for Basic Research 11-01-00894_a11-01-00828_a Ministry of Education and Science of the Russian Federation ÍØ-4612.2012.1ÍØ-2928.2012.18215

DOI: https://doi.org/10.4213/tmf8429

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English version:
Theoretical and Mathematical Physics, 2013, 174:2, 186–196

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Document Type: Article

Citation: I. Ya. Aref'eva, I. V. Volovich, “Holographic thermalization”, TMF, 174:2 (2013), 216–227; Theoret. and Math. Phys., 174:2 (2013), 186–196

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• http://mi.mathnet.ru/eng/tmf8429
• https://doi.org/10.4213/tmf8429
• http://mi.mathnet.ru/eng/tmf/v174/i2/p216

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. I. Ya. Aref'eva, E. O. Pozdeeva, T. O. Pozdeeva, “Holographic estimation of multiplicity and the collision of membranes in modified $\mathrm{AdS}_5$ spaces”, Theoret. and Math. Phys., 176:1 (2013), 861–872
2. I. Ya. Aref'eva, “Holographic approach to quark–gluon plasma in heavy ion collisions”, Phys. Usp., 57:6 (2014), 527–555
3. Andrianov A.A. Andrianov V.A. Espriu D. Planells X., “Analysis of Dilepton Angular Distributions in a Parity Breaking Medium”, Phys. Rev. D, 90:3 (2014), 034024
4. I. Ya. Aref'eva, “Formation time of quark–gluon plasma in heavy-ion collisions in the holographic shock wave model”, Theoret. and Math. Phys., 184:3 (2015), 1239–1255
5. D. S. Ageev, I. Ya. Aref'eva, “Waking and scrambling in holographic heating up”, Theoret. and Math. Phys., 193:1 (2017), 1534–1546
6. Ageev D.S. Aref'eva I.Ya., “Holographic Non-Equilibrium Heating”, J. High Energy Phys., 2018, no. 3, 103
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