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Aoki, Sinya; Hanada, Masanori; Iizuka, Norihiro

Quantum black hole formation in the BFSS matrix model. (English) Zbl 1388.83369

J. High Energy Phys. 2015, No. 7, Paper No. 29, 23 p. (2015).
Summary: We study the various head-on collisions of two bunches of D0-branes and their real-time evolution in the BFSS matrix model in classical limit. For a various matrix size \(N\) respecting the ’t Hooft scaling, we find quantitative evidence for the formation of a single bound state of D0-branes at late time, which is matrix model thermalization and dual to the formation of a larger black hole.

Cited in 7 Documents

MSC:

83C57 Black holes
83C47 Methods of quantum field theory in general relativity and gravitational theory
83E30 String and superstring theories in gravitational theory

Keywords:

gauge-gravity correspondence; black holes in string theory; AdS-CFT correspondence
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\textit{S. Aoki} et al., J. High Energy Phys. 2015, No. 7, Paper No. 29, 23 p. (2015; Zbl 1388.83369)
Full Text: DOI arXiv

References:

[1] J.M. Maldacena, The Large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys.38 (1999) 1113 [hep-th/9711200] [INSPIRE]. · Zbl 0969.81047
[2] T. Banks, W. Fischler, S.H. Shenker and L. Susskind, M theory as a matrix model: A Conjecture, Phys. Rev.D 55 (1997) 5112 [hep-th/9610043] [INSPIRE].
[3] N. Itzhaki, J.M. Maldacena, J. Sonnenschein and S. Yankielowicz, Supergravity and the large-N limit of theories with sixteen supercharges, Phys. Rev.D 58 (1998) 046004 [hep-th/9802042] [INSPIRE].
[4] J. Polchinski, M theory and the light cone, Prog. Theor. Phys. Suppl.134 (1999) 158 [hep-th/9903165] [INSPIRE].
[5] G. Festuccia and H. Liu, The Arrow of time, black holes and quantum mixing of large-N Yang-Mills theories, JHEP12 (2007) 027 [hep-th/0611098] [INSPIRE]. · Zbl 1246.83200
[6] D.N. Kabat, G. Lifschytz and D.A. Lowe, Black hole entropy from nonperturbative gauge theory, Phys. Rev.D 64 (2001) 124015 [hep-th/0105171] [INSPIRE].
[7] D.N. Kabat, G. Lifschytz and D.A. Lowe, Black hole thermodynamics from calculations in strongly coupled gauge theory, Int. J. Mod. Phys.A 16 (2001) 856 [hep-th/0007051] [INSPIRE]. · Zbl 0982.83028
[8] D.N. Kabat and G. Lifschytz, Approximations for strongly coupled supersymmetric quantum mechanics, Nucl. Phys.B 571 (2000) 419 [hep-th/9910001] [INSPIRE]. · Zbl 1028.81507
[9] K.N. Anagnostopoulos, M. Hanada, J. Nishimura and S. Takeuchi, Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature, Phys. Rev. Lett.100 (2008) 021601 [arXiv:0707.4454] [INSPIRE].
[10] S. Catterall and T. Wiseman, Black hole thermodynamics from simulations of lattice Yang-Mills theory, Phys. Rev.D 78 (2008) 041502 [arXiv:0803.4273] [INSPIRE].
[11] S. Catterall and T. Wiseman, Extracting black hole physics from the lattice, JHEP04 (2010) 077 [arXiv:0909.4947] [INSPIRE]. · Zbl 1272.83046
[12] M. Hanada, Y. Hyakutake, J. Nishimura and S. Takeuchi, Higher derivative corrections to black hole thermodynamics from supersymmetric matrix quantum mechanics, Phys. Rev. Lett.102 (2009) 191602 [arXiv:0811.3102] [INSPIRE].
[13] M. Hanada, Y. Hyakutake, G. Ishiki and J. Nishimura, Holographic description of quantum black hole on a computer, Science344 (2014) 882 [arXiv:1311.5607] [INSPIRE].
[14] N. Iizuka, D.N. Kabat, G. Lifschytz and D.A. Lowe, Probing black holes in nonperturbative gauge theory, Phys. Rev.D 65 (2002) 024012 [hep-th/0108006] [INSPIRE].
[15] N. Iizuka and J. Polchinski, A Matrix Model for Black Hole Thermalization, JHEP10 (2008) 028 [arXiv:0801.3657] [INSPIRE]. · Zbl 1245.83034
[16] D. Berenstein and E. Dzienkowski, Numerical Evidence for Firewalls, arXiv:1311.1168 [INSPIRE]. · Zbl 1470.83054
[17] D.E. Berenstein, J.M. Maldacena and H.S. Nastase, Strings in flat space and pp waves from N = 4 super Yang-Mills, JHEP04 (2002) 013 [hep-th/0202021] [INSPIRE].
[18] D. Berenstein and D. Trancanelli, Dynamical tachyons on fuzzy spheres, Phys. Rev.D 83 (2011) 106001 [arXiv:1011.2749] [INSPIRE].
[19] C. Asplund, D. Berenstein and D. Trancanelli, Evidence for fast thermalization in the plane-wave matrix model, Phys. Rev. Lett.107 (2011) 171602 [arXiv:1104.5469] [INSPIRE].
[20] C.T. Asplund, D. Berenstein and E. Dzienkowski, Large-N classical dynamics of holographic matrix models, Phys. Rev.D 87 (2013) 084044 [arXiv:1211.3425] [INSPIRE].
[21] N. Iizuka, D. Kabat, S. Roy and D. Sarkar, Black Hole Formation at the Correspondence Point, Phys. Rev.D 87 (2013) 126010 [arXiv:1303.7278] [INSPIRE].
[22] N. Iizuka, D. Kabat, S. Roy and D. Sarkar, Black Hole Formation in Fuzzy Sphere Collapse, Phys. Rev.D 88 (2013) 044019 [arXiv:1306.3256] [INSPIRE].
[23] E. Witten, Bound states of strings and p-branes, Nucl. Phys.B 460 (1996) 335 [hep-th/9510135] [INSPIRE]. · Zbl 1003.81527
[24] N. Iizuka, T. Okuda and J. Polchinski, Matrix Models for the Black Hole Information Paradox, JHEP02 (2010) 073 [arXiv:0808.0530] [INSPIRE]. · Zbl 1270.81177
[25] G.K. Savvidy, Classical and Quantum Mechanics of Nonabelian Gauge Fields, Nucl. Phys.B 246 (1984) 302 [INSPIRE].
[26] Joint Institute for Computational Fundamental Science, http://www.jicfus.jp.
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