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Advances in High Energy Physics
Volume 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.

Abstract

From the viewpoint of holography, the phase structure of a 5-dimensional Reissner-Nordström-AdS black hole is probed by the two-point correlation function, Wilson loop, and entanglement entropy. As the case of thermal entropy, we find for all the probes that the black hole undergoes a Hawking-Page phase transition, a first-order phase transition, and a second-order phase transition successively before it reaches a stable phase. In addition, for these probes, we find that the equal area law for the first-order phase transition is valid always and the critical exponent of the heat capacity for the second-order phase transition coincides with that of the mean field theory regardless of the size of the boundary region.