scholarly journals P-v Criticality of a Specific Black Hole in f(R) Gravity Coupled with Yang-Mills Field

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Ali Övgün
Keyword(s):  
Black Hole ◽  
Extended Phase Space ◽  
Extended Phase ◽  
Yang Mills ◽  
First Order ◽  
First Order Phase Transition ◽  
Gas System ◽  
Thermodynamic Pressure ◽  
First Order Phase ◽  
Mills Field

We study the P-v criticality of a specific charged AdS type black hole (SBH) in f(R) gravity coupled with Yang-Mills field. In the extended phase space, we treat the cosmological constant as a thermodynamic pressure. After we study the various thermodynamical quantities, we show that the thermodynamic properties of the SBH behave as a Van der Waals liquid-gas system at the critical points and there is a first-order phase transition between small-large SBH.

scholarly journals Hayward black hole heat engine efficiency in anti-de Sitter space

2021 ◽  
pp. 2150108
Author(s):  
Sen Guo ◽  
Ya Ling Huang ◽  
Ke Jiang He ◽  
Guo Ping Li
Keyword(s):  
Black Hole ◽  
Phase Space ◽  
Magnetic Charge ◽  
Heat Engine ◽  
Extended Phase Space ◽  
De Sitter ◽  
Extended Phase ◽  
Regular Black Hole ◽  
Engine Efficiency ◽  
Thermodynamic Pressure

In this paper, we attempt to further study the heat engine efficiency for the regular black hole (BH) with an anti-de Sitter (AdS) background where the working material is the Hayward–AdS (HAdS) BH. In the extended phase space, we investigate the heat engine efficiency of the HAdS BH by defining the cosmological constant as the thermodynamic pressure P and deriving the mechanical work from the PdV terms. Then, we obtain the relation between the efficiency and the entropy/pressure and plot these function figures. Meanwhile, we compare the relation between the HAdS BH with that of the Bardeen–AdS (BAdS) BH, where it is found that the efficiency of the HAdS BH increases with increase in the magnetic charge q in contrast to that of the BAdS BH decrease with increase in the magnetic charge q. We found that the HAdS BH is more efficient than the BAdS BH, and guess that it is related to the BH structure.

scholarly journals Black Hole Solution of Einstein-Born-Infeld-Yang-Mills Theory

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Kun Meng ◽  
Da-Bao Yang ◽  
Zhan-Ning Hu
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Phase Space ◽  
Cosmological Constant ◽  
Black Hole Solution ◽  
Extended Phase Space ◽  
Extended Phase ◽  
Yang Mills ◽  
First Law Of Thermodynamics ◽  
Dimensional Black Hole

A new four-dimensional black hole solution of Einstein-Born-Infeld-Yang-Mills theory is constructed; several degenerated forms of the black hole solution are presented. The related thermodynamical quantities are calculated, with which the first law of thermodynamics is checked to be satisfied. Identifying the cosmological constant as pressure of the system, the phase transition behaviors of the black hole in the extended phase space are studied.

scholarly journals More on Softly Broken N = 2 QCD

1997 ◽  
Vol 12 (05) ◽  
pp. 975-1002 ◽  
Author(s):  
Luis Álvarez-Gaumé ◽  
Marcos Mariño
Keyword(s):  
Gauge Theories ◽  
Yang Mills ◽  
First Order ◽  
Vacuum Structure ◽  
First Order Phase Transition ◽  
General Mass ◽  
Breaking Parameter ◽  
Bps States ◽  
First Order Phase ◽  
General Gauge

We extend previous work on the soft breaking of N = 2 supersymmetric QCD. We present the formalism for the breaking due to a dilaton spurion for a general gauge group and obtain the exact effective potential. We obtain some general features of the vacuum structure in the pure SU (N) Yang–Mills theory and we also derive a general mass formula for this class of theories, in particular we present explicit results for the mass spectrum in the SU(2) case. Finally we analyze the vacuum structure of the SU(2) theory with one massless hypermultiplet. This theory presents dyon condensation and a first order phase transition in the supersymmetry breaking parameter driven by nonmutually local BPS states. This could be a hint of Argyres–Douglas-like phases in nonsupersymmetric gauge theories.

scholarly journals Yang–Mills black holes in quasitopological gravity

2021 ◽  
Vol 81 (5) ◽  
Author(s):  
Fatemeh Naeimipour ◽  
Behrouz Mirza ◽  
Fatemeh Masoumi Jahromi
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Space Dimension ◽  
Thermally Stable ◽  
Gauge Groups ◽  
Yang Mills ◽  
First Order Phase Transition ◽  
Gravity Coefficient ◽  
First Order Phase ◽  
Black Hole Solutions

AbstractIn this paper, we formulate two new classes of black hole solutions in higher curvature quartic quasitopological gravity with nonabelian Yang–Mills theory. At first step, we consider the SO(n) and $$SO(n-1,1)$$ S O ( n - 1 , 1 ) semisimple gauge groups. We obtain the analytic quartic quasitopological Yang–Mills black hole solutions. Real solutions are only accessible for the positive value of the redefined quartic quasitopological gravity coefficient, $$\mu _{4}$$ μ 4 . These solutions have a finite value and an essential singularity at the origin, $$r=0$$ r = 0 for space dimension higher than 8. We also probe the thermodynamic and critical behavior of the quasitopological Yang–Mills black hole. The obtained solutions may be thermally stable only in the canonical ensemble. They may also show a first order phase transition from a small to a large black hole. In the second step, we obtain the pure quasitopological Yang–Mills black hole solutions. For the positive cosmological constant and the space dimensions greater than eight, the pure quasitopological Yang–Mills solutions have the ability to produce both the asymptotically AdS and dS black holes for respectively the negative and positive constant curvatures, $$k=-1$$ k = - 1 and $$k=+1$$ k = + 1 . This is unlike the quasitopological Yang–Mills theory which can lead to just the asymptotically dS solutions for $$\Lambda >0$$ Λ > 0 . The pure quasitopological Yang–Mills black hole is not thermally stable.

scholarly journals Geometric Curvatures of Plane Symmetry Black Hole

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Shao-Wen Wei ◽  
Yu-Xiao Liu ◽  
Chun-E. Fu ◽  
Hai-Tao Li
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Order Phase Transition ◽  
Semiclassical Approximation ◽  
Second Order ◽  
Plane Symmetry ◽  
First Order ◽  
First Order Phase Transition ◽  
Transition Points ◽  
First Order Phase

We study the properties and thermodynamic stability of the plane symmetry black hole from the viewpoint of geometry. We find that the Weinhold curvature gives the first-order phase transition atN=1, whereNis a parameter of the plane symmetry black hole while the Ruppeiner one shows first-order phase transition points for arbitraryN≠1. Considering the Legendre invariant proposed by Quevedo et al., we obtain a unified geometry metric, which contains the information of the second-order phase transition. So, the first-order and second-order phase transitions can be both reproduced from the geometry curvatures. The geometry is also found to be curved, and the scalar curvature goes to negative infinity at the Davie phase transition points beyond semiclassical approximation.

scholarly journals Effects of global monopole on critical behaviors and microstructure of charged AdS black holes

2021 ◽  
Vol 36 (26) ◽  
pp. 2150191
Author(s):  
Gao-Ming Deng ◽  
Jinbo Fan ◽  
Xinfei Li
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Topological Defect ◽  
Global Monopole ◽  
De Sitter ◽  
First Order ◽  
Ads Black Holes ◽  
First Order Phase Transition ◽  
The Rich ◽  
First Order Phase

As an intriguing topological defect, global monopole’s influence on behaviors of black holes has always been anticipated but still remains obscure. Analyzing the thermodynamics of charged Anti-de Sitter (AdS) black hole incorporating a global monopole manifests that the black hole undergoes a Van der Waals-like first-order phase transition near the critical point. This paper concentrates on further investigating the transition, aiming at clarifying how the global monopole affects the criticality and microstructure of the charged AdS black holes. As a highlight, this research is implemented by employing new state parameters other than (T, P, V) description and contributes to deeper understanding the rich critical phenomena and phase structure of black holes.

scholarly journals Phase Transition of the Horava-Lifshitz AdS Black Holes

2021 ◽  
Author(s):  
Yun-Zhi Du ◽  
Hui-Hua Zhao ◽  
Li-Chun Zhang
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Order Phase Transition ◽  
Coexistence Curve ◽  
Two Phase ◽  
First Order ◽  
Ads Black Holes ◽  
First Order Phase Transition ◽  
First Order Phase

AbstractSome ones have showed the first-order phase transition of the Horava-Lifshitz (HL) AdS black holes has unique characters from other AdS black holes. While the coexistence zone of the first-order phase transition was not exhibited. As well known the coexistence curve of a black hole carries a lot of information about black hole, which provides a powerful diagnostic of the thermodynamic properties on black hole. We study the first-order phase transition coexistence curves of the HL AdS black holes by the Maxwell’s equal-area law, and give the boundary of two-phase coexistence zone. It is very interesting that the first-order phase transition point is determined by the pressure F on the surface of the HL AdS black hole’s horizon, instead of only the pressure P (or the temperature T). This unique property distinguishes the HL AdS black hole from the other AdS black hole systems. Furthermore, this black hole system have the critical curves, and on which every point stands for a critical point.

scholarly journals $$ T\overline{T} $$-deformed 2D Yang-Mills at large N: collective field theory and phase transitions

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
A. Gorsky ◽  
D. Pavshinkin ◽  
A. Tyutyakina
Keyword(s):  
Field Theory ◽  
Phase Transition ◽  
Order Phase Transition ◽  
Equations Of Motion ◽  
Third Order ◽  
Yang Mills ◽  
First Order ◽  
Large N ◽  
First Order Phase Transition ◽  
First Order Phase

Abstract We consider the $$ T\overline{T} $$ T T ¯ deformation of 2d large N YM theory on a cylinder, sphere and disk. The collective field theory Hamiltonian for the deformed theory is derived and the particular solutions to the equations of motion of the collective theory are found for the sphere. The account of the non-perturbative branch of the solution amounts to the first-order phase transition at the (A, τ) plane. We analyze the third-order phase transition in the deformed theory on the disk and derive the critical area as a function of the boundary holonomy. A kind of Hagedorn behavior in the spectral density is discussed.

Sign in / Sign up

Export Citation Format

Share Document