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TMF, 2013, Volume 176, Number 1, Pages 35–49 (Mi tmf8535)  

This article is cited in 8 scientific papers (total in 8 papers)

Holographic estimation of multiplicity and the collision of membranes in modified $\mathrm{AdS}_5$ spaces

I. Ya. Aref'evaa, E. O. Pozdeevab, T. O. Pozdeevac

a Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia
b Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russia
c Moscow Aviation Institute (National Research University), Moscow, Russia

Abstract: The quark–gluon plasma formed as a result of heavy-ion collisions is currently investigated actively both theoretically and experimentally. According to the holographic approach, forming a quark–gluon plasma in the four-dimensional world is associated with creating black holes in a five-dimensional anti-de Sitter (AdS) space. The multiplicity of particles produced in heavy-ion collisions is then determined by the entropy of the five-dimensional black hole, which is estimated by the area of the trapped surface. In this approach, we can model the dependence of the entropy on the energy of the colliding ions and thus the dependence of the multiplicity on the energy, and we can also compare the theoretical results with experimental data. To obtain a variety of model dependences on the energy, we consider the formation of black holes in modified AdS spaces, namely, in AdS spaces with different $b$ factors. We find dynamics of the change of the trapped surface area depending on the energy for each investigated space.

Keywords: anti-de Sitter space, black hole, trapped surface, heavy-ion collision, particle creation multiplicity

Funding Agency Grant Number
Russian Foundation for Basic Research 11-01-00894_a


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English version:
Theoretical and Mathematical Physics, 2013, 176:1, 861–872

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Received: 19.03.2013

Citation: 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”, TMF, 176:1 (2013), 35–49; Theoret. and Math. Phys., 176:1 (2013), 861–872

Citation in format AMSBIB
\by I.~Ya.~Aref'eva, E.~O.~Pozdeeva, T.~O.~Pozdeeva
\paper Holographic estimation of multiplicity and the~collision of membranes
in modified $\mathrm{AdS}_5$ spaces
\jour TMF
\yr 2013
\vol 176
\issue 1
\pages 35--49
\jour Theoret. and Math. Phys.
\yr 2013
\vol 176
\issue 1
\pages 861--872

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    This publication is cited in the following articles:
    1. 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
    2. I. Ya. Aref'eva, E. O. Pozdeeva, T. O. Pozdeeva, “Potentials in modified $AdS_5$ spaces with a moderate increase in entropy”, Theoret. and Math. Phys., 180:1 (2014), 781–794  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    3. Pozdeeva E.O., Vernov S.Yu., “Stable Exact Cosmological Solutions in Induced Gravity Models”, II Russian-Spanish Congress on Particle and Nuclear Physics At All Scales, Astroparticle Physics and Cosmology, AIP Conference Proceedings, 1606, eds. Andrianov A., Espriu D., Andrianov V., Kolevatov S., Amer Inst Physics, 2014, 48–58  crossref  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. Aref'eva I.Ya., Golubtsova A.A., Gourgoulhon E., “Analytic black branes in Lifshitz-like backgrounds and thermalization”, J. High Energy Phys., 2016, no. 9, 142  crossref  mathscinet  zmath  isi  scopus
    6. Aref'eva I., “Holographic description of QGP production in heavy ion collisions”, XIth Conference on Quark Confinement and Hadron Spectrum (Saint Petersburg, Russia, 8–12 September 2014), AIP Conference Proceedings, 1701, eds. Andrianov A., Brambilla N., Kim V., Kolevatov S., Amer Inst Physics, 2016, 090001  crossref  isi  scopus
    7. I. Aref'eva, K. Rannu, “Holographic anisotropic background with confinement-deconfinement phase transition”, J. High Energy Phys., 2018, no. 5, 206  crossref  isi  scopus
    8. D. S. Ageev, I. Ya. Aref'eva, A. A. Golubtsova, E. Gourgoulhon, “Thermalization of holographic Wilson loops in spacetimes with spatial anisotropy”, Nucl. Phys. B, 931 (2018), 506–536  crossref  mathscinet  zmath  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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