Thermodynamic geometry of the RN-Ad S black hole and non-local observables  

作　　者：Chao Wang Bin Wu Zhen-Ming Xu Wen-Li Yang 

机构地区：[1]Institute of Physics,Shaanxi University of Technology,Hanzhong 723000,China [2]School of Physics,Northwest University,Xi'an 710127,China [3]Institute of Modern Physics,Northwest University,Xi'an 710127,China [4]Shaanxi Key Laboratory for Theoretical Physics Frontiers,Xi'an 710127,China [5]Peng Huanwu Center for Fundamental Theory,Xi'an 710127,China

出　　处：《Communications in Theoretical Physics》2024年第2期137-144,共8页理论物理通讯（英文版）

基　　金：supported by financial support from the National Natural Science Foundation of China(Grant Nos.12275216,12105222,12247103)。

摘　　要：This paper studies the thermodynamic geometry of the Reissner–Nordstr?m-anti-de Sitter(RN-AdS)black hole via detection of the non-local observables in the dual field theory,including the entanglement entropy and equal-time two-point correlation function.With the dimensional analysis,we construct the principle of corresponding states of black hole thermodynamics.As a result,our findings can be applied to black holes with different Ad S backgrounds.In this sense,the probe of the thermodynamic geometry of the RN-Ad S black hole though the non-local observables in dual field theory has been confirmed numerically.

关 键 词：black hole thermodynamic thermodynamic geometry phase transition non-local observables 

分 类 号：P145.8[天文地球—天体物理]