Abstract
We study the second derivative of the free energy with respect to the fundamental mass (the mass susceptibility) for the Berkooz-Douglas model as a function of temperature and at zero mass. The model is believed to be holographically dual to a D0/D4 intersection. We perform a lattice simulation of the system at finite temperature and find excellent agreement with predictions from the gravity dual.
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].
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].
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, Gauge/gravity duality and lattice simulations of one dimensional SYM with sixteen supercharges, arXiv:1503.08499 [INSPIRE].
V.G. Filev and D. O’Connor, The BFSS model on the lattice, JHEP 05 (2016) 167 [arXiv:1506.01366] [INSPIRE].
S. Catterall and T. Wiseman, Extracting black hole physics from the lattice, JHEP 04 (2010) 077 [arXiv:0909.4947] [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].
M. Berkooz and M.R. Douglas, Five-branes in M(atrix) theory, Phys. Lett. B 395 (1997) 196 [hep-th/9610236] [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].
A. Karch and E. Katz, Adding flavor to AdS/CFT, JHEP 06 (2002) 043 [hep-th/0205236] [INSPIRE].
D. Mateos, R.C. Myers and R.M. Thomson, Holographic phase transitions with fundamental matter, Phys. Rev. Lett. 97 (2006) 091601 [hep-th/0605046] [INSPIRE].
D. Mateos, R.C. Myers and R.M. Thomson, Thermodynamics of the brane, JHEP 05 (2007) 067 [hep-th/0701132] [INSPIRE].
V.G. Filev and D. O’Connor, A Computer Test of Holographic Flavour Dynamics, JHEP 05 (2016) 122 [arXiv:1512.02536] [INSPIRE].
Y. Asano, V.G. Filev, S. Kováčik and D. O’Connor, The flavoured BFSS model at high temperature, JHEP 01 (2017) 113 [arXiv:1605.05597] [INSPIRE].
M. Van Raamsdonk, Open dielectric branes, JHEP 02 (2002) 001 [hep-th/0112081] [INSPIRE].
J. Babington, J. Erdmenger, N.J. Evans, Z. Guralnik and I. Kirsch, Chiral symmetry breaking and pions in nonsupersymmetric gauge/gravity duals, Phys. Rev. D 69 (2004) 066007 [hep-th/0306018] [INSPIRE].
C. Hoyos-Badajoz, K. Landsteiner and S. Montero, Holographic meson melting, JHEP 04 (2007) 031 [hep-th/0612169] [INSPIRE].
I. Kirsch, Generalizations of the AdS/CFT correspondence, Fortsch. Phys. 52 (2004) 727 [hep-th/0406274] [INSPIRE].
T. Albash, V.G. Filev, C.V. Johnson and A. Kundu, A Topology-changing phase transition and the dynamics of flavour, Phys. Rev. D 77 (2008) 066004 [hep-th/0605088] [INSPIRE].
J. Erdmenger, N. Evans, I. Kirsch and E. Threlfall, Mesons in Gauge/Gravity Duals — A Review, Eur. Phys. J. A 35 (2008) 81 [arXiv:0711.4467] [INSPIRE].
Y. Asano and D. O’Connor, Checking gauge/gravity duality with the BFSS model by different lattice discretisations, in preparation.
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ArXiv ePrint: 1612.09281
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Asano, Y., Filev, V.G., Kováčik, S. et al. A computer test of holographic flavour dynamics. Part II. J. High Energ. Phys. 2018, 55 (2018). https://doi.org/10.1007/JHEP03(2018)055
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DOI: https://doi.org/10.1007/JHEP03(2018)055
Keywords
- AdS-CFT Correspondence
- D-branes
- Lattice Quantum Field Theory
- M(atrix) Theories