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Advances in High Energy Physics
Volume 2016 (2016), Article ID 6153435, 13 pages
http://dx.doi.org/10.1155/2016/6153435
Research Article

Holographic Phase Transition Probed by Nonlocal Observables

1School of Material Science and Engineering, Chongqing Jiaotong University, Chongqing 400074, China
2State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
3Center for Space Science and Applied Research, Chinese Academy of Sciences, Beijing 100190, China

Received 31 March 2016; Accepted 8 June 2016

Academic Editor: Davood Momeni

Copyright © 2016 Xiao-Xiong Zeng and Li-Fang Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Linked References

  1. S. W. Hawking, “Particle creation by black holes,” Communications in Mathematical Physics, vol. 43, no. 3, pp. 199–220, 1975. View at Publisher · View at Google Scholar · View at MathSciNet
  2. J. M. Bardeen, B. Carter, and S. W. Hawking, “The four laws of black hole mechanics,” Communications in Mathematical Physics, vol. 31, pp. 161–170, 1973. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  3. J. M. Maldacena, “Large N limit of superconformal field theories and supergravity,” International Journal of Theoretical Physics, vol. 38, no. 4, pp. 1113–1133, 1999. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. E. Witten, “Anti de Sitter space and holography,” Advances in Theoretical and Mathematical Physics, vol. 2, no. 2, pp. 253–291, 1998. View at Publisher · View at Google Scholar · View at MathSciNet
  5. S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from non-critical string theory,” Physics Letters. B, vol. 428, no. 1-2, pp. 105–114, 1998. View at Publisher · View at Google Scholar · View at MathSciNet
  6. S. W. Hawking and D. N. Page, “Thermodynamics of black holes in anti-de Sitter space,” Communications in Mathematical Physics, vol. 87, no. 4, pp. 577–588, 1983. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. R. G. Cai, L. M. Cao, and Y. W. Sun, “Hawking-page phase transition of black Dp-branes and R-charged black holes with an IR Cutoff,” Journal of High Energy Physics, vol. 2007, no. 11, article 039, 2007. View at Google Scholar
  8. E. Witten, “Anti-de Sitter space, thermal phase transition, and confinement in gauge theories,” Advances in Theoretical and Mathematical Physics, vol. 2, no. 3, pp. 505–532, 1998. View at Publisher · View at Google Scholar · View at MathSciNet
  9. A. Chamblin, R. Emparan, C. V. Johnson, and R. C. Myers, “Charged AdS black holes and catastrophic holography,” Physical Review D, vol. 60, no. 6, Article ID 064018, 1999. View at Publisher · View at Google Scholar · View at MathSciNet
  10. D. Kubiznak and R. B. Mann, “P-V criticality of charged AdS black holes,” Journal of High Energy Physics, vol. 2012, no. 7, article 033, 2012. View at Google Scholar
  11. J. Xu, L. M. Cao, and Y. P. Hu, “P-V criticality in the extended phase space of black holes in massive gravity,” Physical Review D, vol. 91, Article ID 124033, 2015. View at Google Scholar
  12. R.-G. Cai, L.-M. Cao, L. Li, and R.-Q. Yang, “P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space,” Journal of High Energy Physics, vol. 2013, article 5, 2013. View at Publisher · View at Google Scholar · View at Scopus
  13. S. H. Hendi, A. Sheykhi, S. Panahiyan, and B. Eslam Panah, “Phase transition and thermodynamic geometry of Einstein-Maxwell-dilaton black holes,” Physical Review D, vol. 92, no. 6, Article ID 064028, 2015. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. R. A. Hennigar, W. G. Brenna, and R. B. Mann, “P-v criticality in quasitopological gravity,” Journal of High Energy Physics, vol. 2015, no. 7, article 77, pp. 1–31, 2015. View at Publisher · View at Google Scholar
  15. S.-W. Wei and Y.-X. Liu, “Clapeyron equations and fitting formula of the coexistence curve in the extended phase space of charged AdS black holes,” Physical Review D, vol. 91, no. 4, Article ID 044018, 2015. View at Publisher · View at Google Scholar · View at Scopus
  16. J.-X. Mo and W.-B. Liu, “P-V criticality of topological black holes in Lovelock-Born-Infeld gravity,” The European Physical Journal C, vol. 74, no. 4, article 2836, pp. 1–12, 2014. View at Publisher · View at Google Scholar
  17. C. Niu, Y. Tian, and X. N. Wu, “Critical phenomena and thermodynamic geometry of Reissner-Nordström-anti-de Sitter black holes,” Physical Review D, vol. 85, no. 2, Article ID 024017, 2012. View at Publisher · View at Google Scholar
  18. R.-G. Cai, “Gauss-Bonnet black holes in AdS spaces,” Physical Review. D. Third Series, vol. 65, no. 8, Article ID 084014, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  19. V. Balasubramanian, A. Bernamonti, J. de Boer et al., “Thermalization of strongly coupled field theories,” Physical Review Letters, vol. 106, Article ID 191601, 2011. View at Google Scholar
  20. V. Balasubramanian, A. Bernamonti, J. de Boer et al., “Holographic thermalization,” Physical Review D, vol. 84, no. 2, Article ID 026010, 2011. View at Publisher · View at Google Scholar
  21. D. Galante and M. Schvellinger, “Thermalization with a chemical potential from AdS spaces,” Journal of High Energy Physics, vol. 2012, no. 7, article 096, 2012. View at Google Scholar
  22. E. Caceres and A. Kundu, “Holographic thermalization with chemical potential,” Journal of High Energy Physics, vol. 2012, article 55, 2012. View at Publisher · View at Google Scholar
  23. X.-X. Zeng and W.-B. Liu, “Holographic thermalization in Gauss-Bonnet gravity,” Physics Letters B, vol. 726, no. 1–3, pp. 481–487, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  24. X. X. Zeng, X. M. Liu, and B. W. Liu, “Holographic thermalization with a chemical potential in Gauss-Bonnet gravity,” Journal of High Energy Physics, vol. 2014, article 31, 2014. View at Publisher · View at Google Scholar
  25. X. X. Zeng, D. Y. Chen, and L. F. Li, “Holographic thermalization and gravitational collapse in a spacetime dominated by quintessence dark energy,” Physical Review D, vol. 91, no. 4, Article ID 046005, 2015. View at Publisher · View at Google Scholar
  26. C. V. Johnson, “Large N phase transitions, finite volume, and entanglement entropy,” Journal of High Energy Physics, vol. 2014, article 47, 2014. View at Publisher · View at Google Scholar
  27. E. Caceres, P. H. Nguyen, and J. F. Pedraza, “Holographic entanglement entropy and the extended phase structure of STU black holes,” http://arxiv.org/abs/1507.06069.
  28. P. H. Nguyen, “An equal area law for holographic entanglement entropy of the AdS-RN black hole,” Journal of High Energy Physics, vol. 2015, article 139, 2015. View at Publisher · View at Google Scholar
  29. X. X. Zeng, H. Zhang, and L. F. Li, “Phase transition of holographic entanglement entropy in massive gravity,” Physics Letters B, vol. 756, pp. 170–179, 2016. View at Publisher · View at Google Scholar
  30. R. Banerjee and D. Roychowdhury, “Thermodynamics of phase transition in higher dimensional AdS black holes,” Journal of High Energy Physics, vol. 2011, article 4, 2011. View at Publisher · View at Google Scholar
  31. V. Balasubramanian and S. F. Ross, “Holographic particle detection,” Physical Review D, vol. 61, no. 4, Article ID 044007, 2000. View at Publisher · View at Google Scholar · View at MathSciNet
  32. J. Maldacena, “Wilson loops in large N field theories,” Physical Review Letters, vol. 80, no. 22, pp. 4859–4862, 1998. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  33. T. Albash and C. V. Johnson, “Holographic studies of entanglement entropy in superconductors,” Journal of High Energy Physics, vol. 2012, no. 5, article 79, pp. 1–21, 2012. View at Publisher · View at Google Scholar
  34. R. G. Cai, S. He, L. Li, and Y. L. Zhang, “Holographic entanglement entropy in insulator/superconductor transition,” Journal of High Energy Physics, vol. 2012, no. 7, article 088, 2012. View at Google Scholar
  35. R. G. Cai, L. Li, L. F. Li, and R. K. Su, “Entanglement entropy in holographic P-wave superconductor/insulator model,” Journal of High Energy Physics, vol. 2013, article 63, 2013. View at Publisher · View at Google Scholar
  36. L.-F. Li, R.-G. Cai, L. Li, and C. Shen, “Entanglement entropy in a holographic p-wave superconductor model,” Nuclear Physics B, vol. 894, pp. 15–28, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  37. R. G. Cai, S. He, L. Li, and L. F. Li, “Entanglement entropy and Wilson loop in Stückelberg holographic insulator/superconductor model,” Journal of High Energy Physics, vol. 2012, no. 10, article 107, 2012. View at Publisher · View at Google Scholar
  38. X. Bai, B.-H. Lee, L. Li, J.-R. Sun, and H.-Q. Zhang, “Time evolution of entanglement entropy in quenched holographic superconductors,” Journal of High Energy Physics, vol. 2015, p. 66, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  39. R. Cai, L. Li, L. Li, and R. Yang, “Introduction to holographic superconductor models,” Science China Physics, Mechanics & Astronomy, vol. 58, no. 6, pp. 1–46, 2015. View at Publisher · View at Google Scholar
  40. Y. Ling, P. Liu, C. Niu, J. P. Wu, and Z. Y. Xian, “Holographic entanglement entropy close to quantum phase transitions,” Journal of High Energy Physics, vol. 2016, article 114, 2016. View at Publisher · View at Google Scholar
  41. S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from the anti-de Sitter space/conformal field theory correspondence,” Physical Review Letters, vol. 96, no. 18, Article ID 181602, 2006. View at Publisher · View at Google Scholar · View at MathSciNet
  42. S. Ryu and T. Takayanagi, “Aspects of holographic entanglement entropy,” Journal of High Energy Physics, vol. 8, p. 45, 2006. View at Publisher · View at Google Scholar