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

This article is cited in 6 scientific papers (total in 6 papers)

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_a
11-01-00828_a
Ministry of Education and Science of the Russian Federation НШ-4612.2012.1
НШ-2928.2012.1
8215


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

Full text: PDF file (607 kB)
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English version:
Theoretical and Mathematical Physics, 2013, 174:2, 186–196

Bibliographic databases:

Document Type: Article
Received: 19.10.2012

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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    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  mathnet  crossref  crossref  zmath  adsnasa  isi  elib  elib
    2. I. Ya. Aref'eva, “Holographic approach to quark–gluon plasma in heavy ion collisions”, Phys. Usp., 57:6 (2014), 527–555  mathnet  crossref  crossref  adsnasa  isi  elib  elib
    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  crossref  mathscinet  adsnasa  isi  scopus
    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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib
    5. D. S. Ageev, I. Ya. Aref'eva, “Waking and scrambling in holographic heating up”, Theoret. and Math. Phys., 193:1 (2017), 1534–1546  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    6. D. S. Ageev, I. Ya. Aref'eva, “Holographic non-equilibrium heating”, J. High Energy Phys., 2018, no. 3, 103  crossref  mathscinet  zmath  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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