Abstract
We perform computer simulations of the Berkooz-Douglas (BD) matrix model, holographically dual to the D0/D4-brane intersection. We generate the fundamental condensate versus bare mass curve of the theory both holographically and from simulations of the BD model. Our studies show excellent agreement of the two approaches in the deconfined phase of the theory and significant deviations in the confined phase. We argue the discrepancy in the confined phase is explained by the embedding of the D4-brane which yields stronger α′ corrections to the condensate in this phase.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
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].
A. Karch and E. Katz, Adding flavor to AdS/CFT, JHEP 06 (2002) 043 [hep-th/0205236] [INSPIRE].
J. Babington et al., 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].
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].
D. Mateos, S. Matsuura, R.C. Myers and R.M. Thomson, Holographic phase transitions at finite chemical potential, JHEP 11 (2007) 085 [arXiv:0709.1225] [INSPIRE].
V.G. Filev, C.V. Johnson, R.C. Rashkov and K.S. Viswanathan, Flavoured large-N gauge theory in an external magnetic field, JHEP 10 (2007) 019 [hep-th/0701001] [INSPIRE].
T. Albash, V.G. Filev, C.V. Johnson and A. Kundu, Quarks in an external electric field in finite temperature large-N gauge theory, JHEP 08 (2008) 092 [arXiv:0709.1554] [INSPIRE].
J. Erdmenger, R. Meyer and J.P. Shock, AdS/CFT with flavour in electric and magnetic Kalb-Ramond fields, JHEP 12 (2007) 091 [arXiv:0709.1551] [INSPIRE].
J. Erdmenger, M. Kaminski and F. Rust, Holographic vector mesons from spectral functions at finite baryon or isospin density, Phys. Rev. D 77 (2008) 046005 [arXiv:0710.0334] [INSPIRE].
N. Evans and E. Threlfall, Chemical potential in the gravity dual of a 2 + 1 dimensional system, Phys. Rev. D 79 (2009) 066008 [arXiv:0812.3273] [INSPIRE].
A. O’Bannon, Toward a holographic model of superconducting fermions, JHEP 01 (2009) 074 [arXiv:0811.0198] [INSPIRE].
A. Karch, B. Robinson and C.F. Uhlemann, Precision test of gauge-gravity duality with flavor, Phys. Rev. Lett. 115 (2015) 261601 [arXiv:1509.00013] [INSPIRE].
S. Catterall, Lattice formulation of N = 4 super Yang-Mills theory, JHEP 06 (2005) 027 [hep-lat/0503036] [INSPIRE].
D.B. Kaplan and M. Ünsal, A euclidean lattice construction of supersymmetric Yang-Mills theories with sixteen supercharges, JHEP 09 (2005) 042 [hep-lat/0503039] [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].
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].
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, arXiv:1506.01366 [INSPIRE].
A. Joseph, Review of lattice supersymmetry and gauge-gravity duality, Int. J. Mod. Phys. A 30 (2015) 1530054 [arXiv:1509.01440] [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].
I. Kirsch, Generalizations of the AdS/CFT correspondence, Fortsch. Phys. 52 (2004) 727 [hep-th/0406274].
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].
M. Berkooz and M.R. Douglas, Five-branes in M(atrix) theory, Phys. Lett. B 395 (1997) 196 [hep-th/9610236] [INSPIRE].
M. Van Raamsdonk, Open dielectric branes, JHEP 02 (2002) 001 [hep-th/0112081] [INSPIRE].
R. Davies, http://people.maths.ox.ac.uk/daviesr/resources/notes/spinors.pdf.
M.A. Clark, A.D. Kennedy and Z. Sroczynski, Exact 2 + 1 flavour RHMC simulations, Nucl. Phys. Proc. Suppl. 140 (2005) 835 [hep-lat/0409133] [INSPIRE].
P. Benincasa, A note on holographic renormalization of probe D-branes, arXiv:0903.4356 [INSPIRE].
A. Karch, A. O’Bannon and K. Skenderis, Holographic renormalization of probe D-branes in AdS/CFT, JHEP 04 (2006) 015 [hep-th/0512125] [INSPIRE].
N. Kawahara, J. Nishimura and S. Takeuchi, High temperature expansion in supersymmetric matrix quantum mechanics, JHEP 12 (2007) 103 [arXiv:0710.2188] [INSPIRE].
S.S. Gubser, I.R. Klebanov and A.A. Tseytlin, Coupling constant dependence in the thermodynamics of N = 4 supersymmetric Yang-Mills theory, Nucl. Phys. B 534 (1998) 202 [hep-th/9805156].
A. Buchel, J.T. Liu, A.O. Starinets, Coupling constant dependence of the shear viscosity in N = 4 supersymmetric Yang-Mills theory, Nucl. Phys. B 707 (2005) 56 [hep-th/0406264].
A. Buchel, Resolving disagreement for η s in a CFT plasma at finite coupling, Nucl. Phys. B 803 (2008) 166 [arXiv:0805.2683] [INSPIRE].
B. Hassanain and M. Schvellinger, Plasma conductivity at finite coupling, JHEP 01 (2012) 114 [arXiv:1108.6306] [INSPIRE].
B. Hassanain and M. Schvellinger, Diagnostics of plasma photoemission at strong coupling, Phys. Rev. D 85 (2012) 086007 [arXiv:1110.0526] [INSPIRE].
D.-L. Yang and B. Müller, Collective flow of photons in strongly coupled gauge theories, arXiv:1507.04232 [INSPIRE].
S. Grozdanov and A.O. Starinets, On the universal identity in second order hydrodynamics, JHEP 03 (2015) 007 [arXiv:1412.5685] [INSPIRE].
S. Waeber, A. Schäfer, A. Vuorinen and L.G. Yaffe, Finite coupling corrections to holographic predictions for hot QCD, JHEP 11 (2015) 087 [arXiv:1509.02983] [INSPIRE].
Y. Asano, V. Filev, S. Kovacik and D. O’Connor, The flavoured BFSS model at high temperature, arXiv:1605.05597.
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1512.02536
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Filev, V.G., O’Connor, D. A computer test of holographic flavour dynamics. J. High Energ. Phys. 2016, 122 (2016). https://doi.org/10.1007/JHEP05(2016)122
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2016)122