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Precision Test of Holographic Flavourdynamics

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Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2 (LT-XII/QTS-X 2017)

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Abstract

We study the Berkooz–Douglas matrix model using holography, lattice simulation and high temperature perturbative expansion. In particular we calculate the mass susceptibility of the theory. Our results show excellent agreement between lattice simulations and holography at low and intermediate temperatures \(T\le \lambda ^{1/3}\). We also report a surprisingly good agreement between holography and perturbative high temperature expansion at \(T\sim \lambda ^{1/3}\).

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Notes

  1. 1.

    The D0/D4 set-up belongs to a large class of Dp/Dp\(+\)4 -brane intersections exhibiting universal properties such as the presence of a meson melting phase transition. For more details look at Refs. [12,13,14,15, 17] as well as Ref. [16] for an extensive review.

References

  1. J. M. Maldacena, Int. J. Theor. Phys. 38, 1113 (1999) [Adv. Theor. Math. Phys. 2, 231 (1998)] https://doi.org/10.1023/A:1026654312961 [hep-th/9711200].

    Article  MathSciNet  Google Scholar 

  2. N. Itzhaki, J. M. Maldacena, J. Sonnenschein and S. Yankielowicz, Phys. Rev. D 58, 046004 (1998) https://doi.org/10.1103/PhysRevD.58.046004 [hep-th/9802042].

  3. T. Banks, W. Fischler, S. H. Shenker and L. Susskind, “M theory as a matrix model: A Conjecture,” Phys. Rev. D 55, 5112 (1997) [hep-th/9610043].

    Article  MathSciNet  Google Scholar 

  4. 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, 021601 (2008) [arXiv:0707.4454 [hep-th]].

    Article  Google Scholar 

  5. S. Catterall and T. Wiseman, “Black hole thermodynamics from simulations of lattice Yang-Mills theory,” Phys. Rev. D 78, 041502 (2008) [arXiv:0803.4273 [hep-th]].

    Article  MathSciNet  Google Scholar 

  6. M. Hanada, Y. Hyakutake, J. Nishimura and S. Takeuchi, Phys. Rev. Lett. 102, 191602 (2009) [arXiv:0811.3102 [hep-th]].

    Article  Google Scholar 

  7. D. Kadoh and S. Kamata, “Gauge/gravity duality and lattice simulations of one dimensional SYM with sixteen supercharges,” [arXiv:1503.08499 [hep-lat]].

  8. V. G. Filev and D. O’Connor, [arXiv:1506.01366 [hep-th]].

  9. S. Catterall and T. Wiseman, JHEP 1004 (2010) 077 [arXiv:0909.4947 [hep-th]].

    Article  Google Scholar 

  10. M. Hanada, Y. Hyakutake, G. Ishiki and J. Nishimura, Science 344 (2014) 882 [arXiv:1311.5607 [hep-th]].

    Article  Google Scholar 

  11. A. Karch and E. Katz, JHEP 0206, 043 (2002) https://doi.org/10.1088/1126-6708/2002/06/043 [hep-th/0205236].

    Article  MathSciNet  Google Scholar 

  12. J. Babington, J. Erdmenger, N. J. Evans, Z. Guralnik and I. Kirsch, Phys. Rev. D 69, 066007 (2004) https://doi.org/10.1103/PhysRevD.69.066007 [hep-th/0306018].

  13. I. Kirsch, “Generalizations of the AdS/CFT correspondence,” Fortsch. Phys. 52 (2004) 727 [arXiv:hep-th/0406274].

    Article  MathSciNet  Google Scholar 

  14. D. Mateos, R. C. Myers and R. M. Thomson, Phys. Rev. Lett. 97, 091601 (2006) https://doi.org/10.1103/PhysRevLett.97.091601 [hep-th/0605046]. D. Mateos, R. C. Myers and R. M. Thomson, JHEP 0705, 067 (2007) https://doi.org/10.1088/1126-6708/2007/05/067 [hep-th/0701132].

  15. T. Albash, V. G. Filev, C. V. Johnson and A. Kundu, Phys. Rev. D 77, 066004 (2008) https://doi.org/10.1103/PhysRevD.77.066004 [hep-th/0605088].

  16. J. Erdmenger, N. Evans, I. Kirsch and E. Threlfall, Eur. Phys. J. A 35, 81 (2008) https://doi.org/10.1140/epja/i2007-10540-1 [arXiv:0711.4467 [hep-th]].

    Article  Google Scholar 

  17. C. Hoyos-Badajoz, K. Landsteiner and S. Montero, JHEP 0704, 031 (2007) https://doi.org/10.1088/1126-6708/2007/04/031 [hep-th/0612169].

    Article  Google Scholar 

  18. V. G. Filev and D. O’Connor, JHEP 1605, 122 (2016) https://doi.org/10.1007/JHEP05(2016)122 [arXiv:1512.02536 [hep-th]].

  19. M. Berkooz and M. R. Douglas, Phys. Lett. B 395, 196 (1997) https://doi.org/10.1016/S0370-2693(97)00014-2 [hep-th/9610236].

    Article  MathSciNet  Google Scholar 

  20. M. Van Raamsdonk, JHEP 0202, 001 (2002) https://doi.org/10.1088/1126-6708/2002/02/001 [hep-th/0112081].

    Article  MathSciNet  Google Scholar 

  21. Y. Asano, V. G. Filev, S. Kováčik and D. O’Connor, JHEP 1701, 113 (2017) https://doi.org/10.1007/JHEP01(2017)113 [arXiv:1605.05597 [hep-th]].

  22. Y. Asano, V. G. Filev, S. Kováčik and D. O’Connor, [arXiv:1612.09281 [hep-th]].

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Acknowledgements

V. F. would like to thank the organisers of 10th International Symposium “Quantum Theory and Symmetries” for the opportunity to present this work.

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Correspondence to Veselin G. Filev .

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Asano, Y., Filev, V.G., Kováčik, S., O’Connor, D. (2018). Precision Test of Holographic Flavourdynamics. In: Dobrev, V. (eds) Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2. LT-XII/QTS-X 2017. Springer Proceedings in Mathematics & Statistics, vol 255. Springer, Singapore. https://doi.org/10.1007/978-981-13-2179-5_12

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