Abstract
We study the thermodynamics of the ‘ungauged’ D0-brane matrix model by Monte Carlo simulation. Our results appear to be consistent with the conjecture by Maldacena and Milekhin.
References
J.M. Maldacena, The large N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [INSPIRE].
J.B. Kogut and L. Susskind, Hamiltonian formulation of Wilson’s lattice gauge theories, Phys. Rev. D 11 (1975) 395 [INSPIRE].
E. Witten, Bound states of strings and p-branes, Nucl. Phys. B 460 (1996) 335 [hep-th/9510135] [INSPIRE].
S. Ghosh, R.M. Soni and S.P. Trivedi, On the entanglement entropy for gauge theories, JHEP 09 (2015) 069 [arXiv:1501.02593] [INSPIRE].
S. Aoki et al., On the definition of entanglement entropy in lattice gauge theories, JHEP 06 (2015) 187 [arXiv:1502.04267] [INSPIRE].
M. Hanada, J. Maltz and L. Susskind, Deconfinement transition as black hole formation by the condensation of QCD strings, Phys. Rev. D 90 (2014) 105019 [arXiv:1405.1732] [INSPIRE].
J. Maldacena and A. Milekhin, To gauge or not to gauge?, JHEP 04 (2018) 084 [arXiv:1802.00428] [INSPIRE].
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].
B. de Wit, J. Hoppe and H. Nicolai, On the quantum mechanics of supermembranes, Nucl. Phys. B 305 (1988) 545 [INSPIRE].
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].
E. Berkowitz et al., Precision lattice test of the gauge/gravity duality at large-N , Phys. Rev. D 94 (2016) 094501 [arXiv:1606.04951] [INSPIRE].
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].
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].
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].
D. Kadoh and S. Kamata, One dimensional supersymmetric Yang-Mills theory with 16 supercharges, PoS(LATTICE 2012)064 [arXiv:1212.4919] [INSPIRE].
M. Hanada, Y. Hyakutake, G. Ishiki and J. Nishimura, Holographic description of quantum black hole on a computer, Science 344 (2014) 882 [arXiv:1311.5607] [INSPIRE].
D. Kadoh and S. Kamata, Gauge/gravity duality and lattice simulations of one dimensional SYM with sixteen supercharges, arXiv:1503.08499 [INSPIRE].
V.G. Filev and D. O’Connor, A computer test of holographic flavour dynamics, JHEP 05 (2016) 122 [arXiv:1512.02536] [INSPIRE].
M. Hanada, Y. Hyakutake, G. Ishiki and J. Nishimura, Numerical tests of the gauge/gravity duality conjecture for D0-branes at finite temperature and finite N, Phys. Rev. D 94 (2016) 086010 [arXiv:1603.00538] [INSPIRE].
M. Hanada, A. Miwa, J. Nishimura and S. Takeuchi, Schwarzschild radius from Monte Carlo calculation of the Wilson loop in supersymmetric matrix quantum mechanics, Phys. Rev. Lett. 102 (2009) 181602 [arXiv:0811.2081] [INSPIRE].
J.M. Maldacena, Wilson loops in large N field theories, Phys. Rev. Lett. 80 (1998) 4859 [hep-th/9803002] [INSPIRE].
M. Hanada, J. Nishimura, Y. Sekino and T. Yoneya, Direct test of the gauge-gravity correspondence for Matrix theory correlation functions, JHEP 12 (2011) 020 [arXiv:1108.5153] [INSPIRE].
Y. Sekino and T. Yoneya, Generalized AdS/CFT correspondence for matrix theory in the large N limit, Nucl. Phys. B 570 (2000) 174 [hep-th/9907029] [INSPIRE].
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
L. Susskind, Some speculations about black hole entropy in string theory, hep-th/9309145 [INSPIRE].
E. Halyo, A. Rajaraman and L. Susskind, Braneless black holes, Phys. Lett. B 392 (1997) 319 [hep-th/9605112] [INSPIRE].
G.T. Horowitz and J. Polchinski, A Correspondence principle for black holes and strings, Phys. Rev. D 55 (1997) 6189 [hep-th/9612146] [INSPIRE].
M. Hanada, MMMM, https://sites.google.com/site/hanadamasanori/home/mmmm.
S. Catterall and T. Wiseman, Towards lattice simulation of the gauge theory duals to black holes and hot strings, JHEP 12 (2007) 104 [arXiv:0706.3518] [INSPIRE].
O. Aharony, J. Marsano, S. Minwalla and T. Wiseman, Black hole-black string phase transitions in thermal 1+1 dimensional supersymmetric Yang-Mills theory on a circle, Class. Quant. Grav. 21 (2004) 5169 [hep-th/0406210] [INSPIRE].
O. Aharony et al., The Phase structure of low dimensional large N gauge theories on Tori, JHEP 01 (2006) 140 [hep-th/0508077] [INSPIRE].
N. Kawahara, J. Nishimura and S. Takeuchi, Phase structure of matrix quantum mechanics at finite temperature, JHEP 10 (2007) 097 [arXiv:0706.3517] [INSPIRE].
G. Mandal, M. Mahato and T. Morita, Phases of one dimensional large N gauge theory in a 1/D expansion, JHEP 02 (2010) 034 [arXiv:0910.4526] [INSPIRE].
T. Eguchi and H. Kawai, Reduction of dynamical degrees of freedom in the large N gauge theory, Phys. Rev. Lett. 48 (1982) 1063 [INSPIRE].
B. de Wit, M. Lüscher and H. Nicolai, The supermembrane is unstable, Nucl. Phys. B 320 (1989) 135 [INSPIRE].
A.V. Smilga, Super-Yang-Mills quantum mechanics and supermembrane spectrum, in the proceedings of the Trieste Conference on Supermembranes and Physics in 2 + 1 Dimensions, July 17-21, Trieste Italy (1989), arXiv:1406.5987 [INSPIRE].
E. Berkowitz, M. Hanada and J. Maltz, Chaos in matrix models and black hole evaporation, Phys. Rev. D 94 (2016) 126009 [arXiv:1602.01473] [INSPIRE].
V. Pestun et al., Localization techniques in quantum field theories, J. Phys. A 50 (2017) 440301 [arXiv:1608.02952] [INSPIRE].
U.H. Danielsson, G. Ferretti and B. Sundborg, D particle dynamics and bound states, Int. J. Mod. Phys. A 11 (1996) 5463 [hep-th/9603081] [INSPIRE].
D.N. Kabat and P. Pouliot, A Comment on zero-brane quantum mechanics, Phys. Rev. Lett. 77 (1996) 1004 [hep-th/9603127] [INSPIRE].
K. Becker, M. Becker, J. Polchinski and A.A. Tseytlin, Higher order graviton scattering in M(atrix) theory, Phys. Rev. D 56 (1997) R3174 [hep-th/9706072] [INSPIRE].
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Berkowitz, E., Hanada, M., Rinaldi, E. et al. Gauged and ungauged: a nonperturbative test. J. High Energ. Phys. 2018, 124 (2018). https://doi.org/10.1007/JHEP06(2018)124
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DOI: https://doi.org/10.1007/JHEP06(2018)124
Keywords
- Gauge-gravity correspondence
- Lattice Quantum Field Theory
- M(atrix) Theories