Geodesic
Holographic estimation of multiplicity and the collision of membranes
Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 1, pp. 35-49 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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I. Ya. Aref'eva; E. O. Pozdeeva; T. O. Pozdeeva. Holographic estimation of multiplicity and the collision of membranes. Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 1, pp. 35-49. http://geodesic.mathdoc.fr/item/TMF_2013_176_1_a3/

[1] J. M. Maldacena, Adv. Theor. Math. Phys., 2:2 (1998), 231–252, arXiv: hep-th/9711200 | DOI | MR | Zbl

[2] S. S. Gubser, I. R. Klebanov, A. M. Polyakov, Phys. Lett. B, 428:1–2 (1998), 105–114, arXiv: hep-th/9802109 | DOI | MR | Zbl

[3] E. Witten, Adv. Theor. Math. Phys., 2:2 (1998), 253–291, arXiv: hep-th/9802150 | DOI | MR | Zbl

[4] I. Aref'efa, PoS (ICMP 2012), 2012 (2012), 025, 29 pp., arXiv: 1102.4150

[5] S. S. Gubser, S. S. Pufu, A. Yarom, Phys. Rev. D, 78:6 (2008), 066014, 17 pp., arXiv: ; JHEP, 11 (2009), 050, 37 pp., arXiv: 0805.15510902.4062 | DOI | DOI

[6] J. L. Albacete, Y. V. Kovchegov, A. Taliotis, JHEP, 07 (2008), 100, 32 pp., arXiv: 0805.2927 | DOI | MR

[7] L. Álvarez-Gaumé, C. Gómez, A. Sabio Vera, A. Tavanfar, M. A. Vázquez-Mozo, JHEP, 02 (2009), 009, 14 pp., arXiv: 0811.3969 | DOI | MR | Zbl

[8] P. M. Chesler, L. G. Yaffe, Phys. Rev. Lett., 102:21 (2009), 211601, 4 pp., arXiv: 0812.2053 | DOI | MR

[9] S. Lin, E. Shuryak, Phys. Rev. D, 79:12 (2009), 124015, 12 pp., arXiv: ; 83:4 (2011), 045025, 14 pp., arXiv: 0902.15081011.1918 | DOI | DOI

[10] I. Y. Aref'eva, A. A. Bagrov, E. A. Guseva, JHEP, 12 (2009), 009, 23 pp., arXiv: ; I. Y. Aref'eva, A. A. Bagrov, L. V. Joukovskaya, JHEP, 03 (2010), 002, 26 pp., arXiv: ; И. Я. Арефьева, А. А. Багров, 161:3 (2009), 382–399 0905.10870909.1294 | DOI | MR | DOI | DOI | DOI | MR | Zbl

[11] P. M. Chesler, L. G. Yaffe, Phys. Rev. Lett., 106:2 (2011), 021601, 4 pp., arXiv: 1011.3562 | DOI

[12] E. Kiritsis, A. Taliotis, JHEP, 04 (2012), 065, 37 pp., arXiv: ; A. Taliotis, Extra dimensions, black holes and fireballs at the LHC, arXiv: 1111.19311212.0528 | DOI | MR

[13] I. Y. Aref'eva, A. A. Bagrov, E. O. Pozdeeva, JHEP, 05 (2012), 117, 34 pp., arXiv: 1201.6542 | DOI

[14] V. Balasubramanian, A. Bernamonti, J. de Boer, N. B. Copland, B. Craps, E. Keski-Vakkuri, B. Müller, A. Schäfer, M. Shigemori, W. Staessens, Phys. Rev. D, 84:2 (2011), 026010, 31 pp., arXiv: 1103.2683 | DOI

[15] R. Callan, J.-Y. He, M. Headrick, JHEP, 06 (2012), 081, 38 pp., arXiv: 1204.2309 | DOI | MR

[16] I. Ya. Arefeva, I. V. Volovich, TMF, 174:2 (2013), 216–227 | DOI | DOI | MR | Zbl

[17] K. Aamodt, B. Abelev, A. Abrahantes Quintana et al. [ALICE Collaboration], Phys. Rev. Lett., 105:25 (2010), 252301, 11 pp., arXiv: 1011.3916 | DOI

[18] I. Ya. Aref'eva, EChAYa, 41:6 (2010), 1562–1578, arXiv: 0912.5481 | DOI

[19] M. Hotta, M. Tanaka, Clas. Quant. Grav., 10:2 (1993), 307–314 | DOI | MR

[20] J. Podolský, J. B. Griffiths, Phys. Lett. A, 261:1–2 (1999), 1–4, arXiv: ; J. Podolsky, “Exact impulsive gravitational waves in spacetimes of constant curvature”, Gravitation: Following the Prague Inspiration, eds. O. Semerák, J. Podolský, M. Z̆ofka, World Sci., Singapore, 2002, 205–246, arXiv: gr-qc/9908008gr-qc/0201029 | DOI | MR | Zbl | DOI

[21] K. Sfetsos, Nucl. Phys. B, 436:3 (1995), 721–745, arXiv: hep-th/9408169 | DOI | MR | Zbl

[22] I. Ya. Arefeva, A. A. Bagrov, L. V. Zhukovskaya, Algebra i analiz, 22:3 (2010), 3–15 | DOI | MR | Zbl

[23] T. Dray, G. 't Hooft, Nucl. Phys. B, 253:1 (1985), 173–188 ; V. Ferrari, P. Pendenza, G. Veneziano, Gen. Relat. Grav., 20:11 (1998), 1185–1191 | DOI | MR | DOI | MR