AdS-Maxwell-Yang-Mills黑洞相变：全息再探索

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"这篇研究论文主要探讨了AdS-Maxwell-功率-杨-米尔斯引力理论中的黑洞相变，并利用AdS/CFT对偶工具进行了深入分析。研究者通过不同方法重新审视了爱因斯坦-麦克斯韦-功率-杨-米尔斯引力中的AdS黑洞解决方案的范德华相变特性，特别关注了在熵-热平面上的相结构。" 文章内容详述了在EMPYM理论中，黑洞的相变行为类似于范德华系统中的相变，其中包含了第一阶和第二阶相变的特点。作者们通过分析全息纠缠熵和两点相关函数这两个非局部可观测量，展示了它们在热熵条件下展现出范德华系统的行为模式。全息纠缠熵是量子信息理论中的一个重要概念，它衡量了量子系统中两个区域的纠缠程度；而两点相关函数则反映了量子场论中基本粒子之间的相互作用。研究中，作者们还考察了麦克斯韦的等面积定律在黑洞相变中的应用，这是一个在热力学中描述相变的重要定律。通过对不同电荷C和非线性参数q的计算，他们确定了相变的临界指数，进一步确认了在全息框架下，第一阶和第二阶相变依然存在。麦克斯韦定律的有效性被发现依赖于接近临界点的程度，这为理解黑洞相变的复杂性提供了新的视角。此外，论文指出，这些研究结果不仅深化了我们对AdS/CFT对偶性的理解，也对理解高能物理和黑洞物理学中的相变现象具有重要意义。AdS/CFT对偶性，即Anti-de Sitter空间/共形场论对应，是弦理论中的一个强大工具，它将量子引力问题转化为低维共形场论问题，为解决量子重力问题提供了新的途径。关键词：杨-米尔斯引力、相变、全息框架、黑洞物理。这些关键词突显了研究的核心内容，即在理论物理的背景下，如何通过AdS/CFT工具探索黑洞的复杂相变行为，并揭示了黑洞性质与量子场论之间深邃的联系。总而言之，这篇研究深入探讨了AdS黑洞在EMPYM理论中的范德华相变，通过全息方法提供了新的见解，同时强调了AdS/CFT对偶性在理解和描述这些相变中的关键作用。研究结果对理解黑洞的热力学性质以及引力与量子场论的关联有着深远的影响。

Physics Letters B 776 (2018) 124–132

Contents lists available at ScienceDirect

Physics Letters B

www.elsevier.com/locate/physletb

Revisiting the phase transition of AdS-Maxwell–power-Yang–Mills

black holes via AdS/CFT tools

H. El Moumni

a,b,∗

LMTI, Physics Department, Faculty of Sciences, Ibn Zohr University, Agadir, Morocco

High Energy Physics and Astrophysics Laboratory, FSSM, Cadi Ayyad University, Marrakesh, Morocco

a r t i c l e i n f o a b s t r a c t

Article history:

Received

16 June 2017

Received

in revised form 12 October 2017

Accepted

17 November 2017

Available

online 22 November 2017

Editor:

N. Lambert

Keywords:

Yang–Mills

gravity

Phase

transition

Holographic

framework

In the present work we investigate the Van der Waals-like phase transition of AdS black hole solution

in the Einstein–Maxwell–power-Yang–Mills gravity (EMPYM) via different approaches. After reconsidering

this phase structure in the entropy-thermal plane, we recall the nonlocal observables such as holographic

entanglement entropy and two point correlation function to show that the both observables exhibit a Van

der Waals-like behavior as the case of the thermal entropy. By checking the Maxwell’s equal area law and

calculating the critical exponent for different values of charge C and nonlinearity parameter q we conﬁrm

that the ﬁrst and the second order phases persist in the holographic framework. Also the validity of the

Maxwell law is governed by the proximity to the critical point.

(http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP

1. Introduction

Nowadays it has become evident the pertinence of application

of the AdS/CFT duality [1,2] in a wide variety of physical themes,

ranging from quantum gravity models and string theory [3–6] to

condensed matter physics [7,8]. The gauge/gravity duality could

shed new light in order to have a better insight of our universe,

but the complete understanding of this conjecture still in progress.

Recently,

the gravity coupled to a source of matter has been

aroused intense studies, seeing the trivial coupling with scalar and

Maxwell ﬁeld, it is natural to couple Yang–Mills ﬁelds to gravity,

where the matter is described by a non-abelian (Yang–Mills) gauge

ﬁelds and constructing their black holes solutions. The ﬁrst one

has been found in [9] and its extension to higher dimensions and

higher derivative gravity models in [10,11]. The next relevant step

is the considering a nonlinear coupling solutions and their thermo-

dynamics

[12,13]. The nonlinearity power type plays an extremely

important role in the satisfaction of the energy conditions, i.e.

Weak, Strong or Dominant [14]. As in the example of Born–Infeld

electrodynamics case [15] which plays a key role in the resolution

of point like singularities. In addition to this, in general relativ-

ity

the nonlinear terms affect black hole formation signiﬁcantly, it

is therefore tempting to take such combinations into account. It

Correspondence to: LMTI, Physics Department, Faculty of Sciences, Ibn Zohr Uni-

versity,

Agadir, Morocco.

E-mail

address: hasan.elmoumni@edu.uca.ma.

is our conviction that the nonlinear Yang–Mills ﬁeld can establish

a link with the effective cosmological parameters to contribute to

the distinction between the phantom and quintessence data of our

universe. Then, the Yang–Mills theory’s in non-linearity framework

adds further complexity to the already nonlinear gravity, thus ex-

pectedly

the theory and its accompanied solutions become rather

complicated, richer and naturally attracts interest.

Since

the discovery of the phase transition by Hawking and

Page [16], the black hole thermodynamics has received consid-

erable

attention in recent years. More speciﬁcally, the rise of

phase transitions similar to van der Waals liquid/gas transitions in

Reissner–Nordstrom AdS black holes for a different model of grav-

ity

[17–26]. Another recent landmark of this analogy is the probe

of the critical behavior of the black holes using the AdS/CFT tools,

one can cite non-local observables such as entanglement entropy,

Wilson loop and two point correlation function [27–37] which play

an important role in the study quantum information science. These

tools are used extensively to characterize phases, as an order pa-

rameter

for phase transitions and the thermodynamical behavior

[38–43].

The

aim of this paper is to contribute to this topic by reconsid-

ering

the phase transition of AdS black holes in Einstein–Maxwell–

power-Yang–Mills

(EMPYM) gravity [12]. Speciﬁcally, we will in-

vestigate

the ﬁrst and second order phase transition by different

approaches including the holographic one.

The

outline of the rest of the work is as follows: In the next

section, we discuss thermodynamic properties and stability of the

EMPMY-AdS black holes in (Temperature, entropy)-plan. Then, a

https://doi.org/10.1016/j.physletb.2017.11.037

0370-2693/

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