Geodesic
Formation time of quark–gluon plasma in heavy-ion collisions in the holographic shock wave model
Teoretičeskaâ i matematičeskaâ fizika, Tome 184 (2015) no. 3, pp. 398-417 Cet article a éte moissonné depuis la source Math-Net.Ru

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We estimate the thermalization time in a holographic model of two colliding shock waves corresponding to heavy-ion collisions. For this, we model the process by the Vaidya metric with a horizon defined by the trapped surface location. We consider two bottom-up AdS/QCD models that in the colliding shock wave approach give a dependence of the multiplicity on energy compatible with the RHIC and LHC results. One model is a bottom-up AdS/QCD confining model, and the other is related to an anisotropic thermalization. We estimate the thermalization time and show that increasing the confining potential decreases the thermalization time and anisotropy accelerates the thermalization.
Keywords: quark–gluon plasma, heavy-ion collision, thermalization, AdS/QCD correspondence, holography, Lifshitz-like metric. 
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     title = {Formation time of quark{\textendash}gluon plasma~in heavy-ion collisions in the~holographic shock wave model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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I. Ya. Aref'eva. Formation time of quark–gluon plasma in heavy-ion collisions in the holographic shock wave model. Teoretičeskaâ i matematičeskaâ fizika, Tome 184 (2015) no. 3, pp. 398-417. http://geodesic.mathdoc.fr/item/TMF_2015_184_3_a4/

[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 (199), 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] J. Casalderrey-Solana, H. Liu, D. Mateos, K. Rajagopal, U. A. Wiedemann, Gauge/string duality, hot QCD and heavy ion collisions, arXiv: 1101.0618

[5] I. Ya. Arefeva, UFN, 184:6 (2014), 569–598 | DOI

[6] O. DeWolfe, S. S. Gubser, C. Rosen, D. Teaney, Prog. Part. Nucl. Phys., 75 (2014), 86–132, arXiv: 1304.7794 | DOI

[7] J. Polchinski, M. J. Strassler, The String dual of a confining four-dimensional gauge theory, arXiv: hep-th/0003136

[8] J. Polchinski, M. J. Strassler, JHEP, 05 (2003), 012, 37 pp., arXiv: hep-th/0209211 | DOI | MR

[9] J. Babington, J. Erdmenger, N. J. Evans, Z. Guralnik, I. Kirsch, Phys. Rev. D, 69:6 (2004), 066007, 13 pp., arXiv: hep-th/0306018 | DOI | MR

[10] M. Kruczenski, D. Mateos, R. C. Myers, D. J. Winters, JHEP, 05 (2004), 041, 42 pp., arXiv: hep-th/0311270 | DOI

[11] T. Sakai, S. Sugimoto, Prog. Theor. Phys., 113:4 (2005), 843–882, arXiv: ; 114:5 (2006), 1083–1118, arXiv: hep-th/0412141hep-th/0507073 | DOI | MR | Zbl | DOI

[12] J. Erlich, E. Katz, D. T. Son, M. A. Stephanov, Phys. Rev. Lett., 95:26 (2005), 261602, 4 pp., arXiv: hep-ph/0501128 | DOI | MR

[13] A. Karch, E. Katz, D. T. Son, M. A. Stephanov, Phys. Rev. D, 74:1 (2006), 015005, 7 pp. | DOI

[14] O. Andreev, V. I. Zakharov, Phys. Rev. D, 74:2 (2006), 025023, 6 pp., arXiv: hep-ph/0604204 | DOI

[15] O. Andreev, V. I. Zakharov, Phys. Lett. B, 645:5–6 (2007), 437–4411, arXiv: hep-ph/0607026 | DOI | MR

[16] C. D. White, Phys. Lett. B, 652:2–3 (2007), 795, arXiv: hep-ph/0701157 | DOI

[17] H. J. Pirner, B. Galow, Phys. Lett. B, 679:11 (2009), 51–55, arXiv: 0903.2701 | DOI

[18] B. Galow, E. Megías, J. Nian, H. J. Pirner, Nucl. Phys. B, 834:1–2 (2010), 330–362, arXiv: 0911.0627 | DOI | Zbl

[19] S. He, M. Huang, Q.-S. Yan, Phys. Rev. D, 83:4 (2011), 045034, 14 pp., arXiv: 1004.1880 | DOI

[20] U. Gürsoy, E. Kiritsis, L. Mazzanti, F. Nitti, JHEP, 05 (2009), 033, 111 pp., arXiv: 0812.0792 | DOI | MR

[21] U. Gürsoy, E. Kiritsis, L. Mazzanti, G. Michalogiorgakis, F. Nitti, “Improved holographic QCD”, From Gravity to Thermal Gauge Theories: The AdS/CFT Correspondence, Lecture Notes in Physics, 828, ed. E. Papantonopoulos, Springer, Berlin, 2011, 79–146, arXiv: 1006.5461 | DOI | Zbl

[22] P. M. Chesler, W. van der Schee, Early thermalization, hydrodynamics and energy loss in AdS/CFT, arXiv: 1501.04952

[23] S. S. Gubser, S. S. Pufu, A. Yarom, Phys. Rev. D, 78:6 (2008), 066014, 17 pp., arXiv: 0805.1551 | DOI

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

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

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

[27] S. Lin, E. Shuryak, Phys. Rev. D, 79:12 (2009), 124015, 12 pp., arXiv: 0902.1508 | DOI

[28] S. S. Gubser, S. S. Pufu, A. Yarom, JHEP, 11 (2009), 050, 36 pp., arXiv: 0902.4062 | DOI

[29] I. Ya. Aref'eva, A. A. Bagrov, E. A. Guseva, JHEP, 12 (2009), 009, 23 pp., arXiv: ; I. Ya. Aref'eva, A. A. Bagrov, L. V. Joukovskaya, JHEP, 03 (2010), 002, arXiv: 0905.10870909.1294 | DOI | MR | DOI

[30] S. Lin, E. Shuryak, Phys. Rev. D, 83:4 (2011), 045025, 14 pp., arXiv: 1011.1918 | DOI

[31] I. Ya. Aref'eva, A. A. Bagrov, E. O. Pozdeeva, JHEP, 05 (2012), 117, 33 pp., arXiv: 1201.6542 | DOI

[32] E. Kiritsis, A. Taliotis, JHEP, 04 (2012), 065, 36 pp., arXiv: ; A. Taliotis, JHEP, 05 (2013), 034, 30 pp., arXiv: 1111.19311212.0528 | DOI | DOI | MR

[33] G. Aad, B. Abbott, J. Abdallah et al. [ATLAS Collab.], Phys. Lett. B, 710:3 (2012), 363–382, arXiv: 1108.6027 | DOI

[34] I. Ya. Arefeva, E. O. Pozdeeva, T. O. Pozdeeva, TMF, 176:1 (2013), 35–49, arXiv: ; 180:1 (2014), 35–50 1401.1180 | DOI | DOI | MR | Zbl | DOI | DOI | MR | Zbl

[35] D. S. Ageev, I. Ya. Aref'eva, ZhETF, 147:3 (2015), 499–507, arXiv: 1409.7558 | DOI | DOI

[36] I. Ya. Aref'eva, A. A. Golubtsova, Shock waves in Lifshitz-like spacetimes, arXiv: 1410.4595 | MR

[37] D. Giataganas, PoS (Corfu2012), 122, 36 pp., arXiv: 1306.1404

[38] M. Strickland, Thermalization and isotropization in heavy-ion collisions, arXiv: 1312.2285

[39] U. H. Danielsson, E. Keski-Vakkuri, M. Kruczenski, Nucl. Phys. B, 563:1–2 (1999), 279–292, arXiv: hep-th/9905227 | DOI | MR | Zbl

[40] J. Abajo-Arrastia, J. Aparicio, E. Lopez, JHEP, 11 (2010), 149, 27 pp., arXiv: 1006.4090 | DOI | Zbl

[41] V. Balasubramanian, A. Bernamonti, J. de Boer, N. Copland, B. Craps, E. Keski-Vakkuri, B. Müller, A. Schäfer, M. Shigemori, W. Staessens, Phys. Rev. Lett., 106:19 (2011), 191601, 4 pp., arXiv: 1012.4753 | DOI

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

[43] J. Aparicio, E. Lopez, JHEP, 12 (2011), 082, 34 pp., arXiv: 1109.3571 | DOI | MR | Zbl

[44] R. Callan, J.-Y. He, M. Headrick, JHEP, 06 (2012), 081, 37 pp., arXiv: 1204.2309 | DOI | MR

[45] D. Galante, M. Schvellinger, JHEP, 07 (2012), 096, arXiv: 1205.1548 | DOI

[46] E. Caceres, A. Kundu, JHEP, 09 (2012), 055, arXiv: 1205.2354 | DOI

[47] I. Ya. Arefeva, I. V. Volovich, TMF, 174:2 (2013), 216–227, arXiv: 1211.6041 | DOI | DOI | MR | Zbl

[48] I. Aref'eva, A. Bagrov, A. S. Koshelev, JHEP, 07 (2013), 170, 15 pp., arXiv: 1305.3267 | DOI | MR

[49] V. Keranen, E. Keski-Vakkuri, L. Thorlacius, Phys. Rev. D, 85:2 (2012), 026005, 14 pp., arXiv: 1110.5035 | DOI

[50] M. Alishahiha, E. Ó. Colgáin, H. Yavartanoo, JHEP, 11 (2012), 137, arXiv: 1209.3946 | DOI

[51] M. Alishahiha, A. F. Astaneh, M. R. M. Mozaffar, Phys. Rev. D, 90:4 (2014), 046004, 14 pp., arXiv: 1401.2807 | DOI

[52] P. Fonda, L. Franti, V. Keranen, E. Keski-Vakkuri, L. Thorlacius, E. Tonni, Holographic thermalization with Lifshitz scaling and hyperscaling violation, arXiv: 1401.6088

[53] M. Taylor, Non-relativistic holography, arXiv: 0812.0530

[54] J. Tarrio, S. Vandoren, JHEP, 09 (2011), 017, 26 pp., arXiv: 1105.6335 | DOI | MR

[55] B. Gouteraux, E. Kiritsis, JHEP, 12 (2011), 036, 58 pp., arXiv: 1107.2116 | DOI | Zbl

[56] L. Huijse, S. Sachdev, B. Swingle, Phys. Rev. B, 85:3 (2012), 035121, 14 pp., arXiv: 1112.0573 | DOI

[57] X. Dong, S. Harrison, S. Kachru, G. Torroba, H. Wang, JHEP, 06 (2012), 041, 32 pp., arXiv: 1201.1905 | DOI

[58] P. Bueno, W. Chemissany, P. Meessen, T. Ortin, C. S. Shahbazi, JHEP, 01 (2013), 189, 18 pp., arXiv: 1209.4047 | DOI | MR

[59] B. Goutéraux, E. Kiritsis, JHEP, 04 (2013), 053, 54 pp., arXiv: 1212.2625 | DOI

[60] I. Ya. Aref'eva, “Holographic description of thermalization in heavy ion collisions”, Proceedings of the conference “Quark Confinement and the Hadron Spectrum XI” (St. Petersburg, September 8–12, 2014) (to appear)

[61] S. S. Pal, Anisotropic gravity solutions in AdS/CMT, arXiv: 0901.0599

[62] S. Kachru, X. Liu, M. Mulligan, Phys. Rev. D, 78:10 (2008), 106005, 8 pp., arXiv: 0808.1725 | DOI | MR

[63] G. Camilo, B. Cuadros-Melgar, E. Abdalla, JHEP, 02 (2015), 103, 26 pp., arXiv: 1412.3878 | DOI | MR

[64] S. J. Zhang, E. Abdalla, Nucl. Phys. B, 896 (2015), 569–586, arXiv: 1503.07700 | DOI | MR | Zbl

[65] J. F. Pedraza, Phys. Rev. D, 90:4 (2014), 046010, 7 pp., arXiv: 1405.1724 | DOI