Holographic thermodynamics requires a chemical potential for color

Visser, Manus R.

doi:10.1103/physrevd.105.106014

Cited by 67 publications

(80 citation statements)

References 72 publications

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“…Eqs. (15) and (16) indicate that the RPST formalism is applicable to (d, k)-models for any d > 3 and any admissible k. It is worth mentioning that the Euler relation (15) and the first law ( 16) take exactly the same form for any admissible (d, k)-models. This is in contrast to the EPST formalism in which the Euler relation is always absent and the number of thermodynamic variables can be different in different models (e.g.…”

Section: Throughout This Article We Work In Units Kunclassified

“…Different proposals/formalisms emerge from time to time, which can be briefly classified into two major classes, i.e., traditional black hole thermodynamics (TBHT) [ 1 , 2 , 3 , 4 ] and extended phase space thermodynamics (EPST) [ 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 ] for AdS black holes. In particular, Visser’s recent proposal for a holographic thermodynamics [ 16 ] (when applied to black holes) can be regarded as a further development of EPST, which also applies specifically to AdS black holes only [ 17 , 18 ].…”

Section: Introductionmentioning

confidence: 99%

“…In some recent works, we proposed yet another formalism for black hole thermodynamics, i.e., the restricted phase space thermodynamics (RPST) [ 21 , 22 , 23 , 24 ], which is a restricted version of Visser’s proposal [ 16 ] by removing the

variables. Unlike the previous formalisms, our formalism is free of all the above mentioned issues because (i) the cosmological constant is fixed and removed from the list of thermodynamic variables, this choice removes the ensemble of theories issue and brings back the interpretation of black hole mass from enthalpy to internal energy; (ii) the introduction of the effective number of microscopic degrees of freedom

, together with its conjugate, the chemical potential

, where G is the variable Newton constant,

is the Euclidean action (which has been extensively studies in various cases [ 25 , 26 , 27 ]) and L is a constant length scale, makes the Euler homogeneity hold perfectly; (iii) the definition of N and

as given above is independent of holographic duality, therefore the RPST formalism is valid not only for AdS black holes but also for non-AdS ones.…”

Section: Introductionmentioning

confidence: 99%

“…traditional black hole thermodynamics (TBHT) [1][2][3][4] and extended phase space thermodynamics (EPST) [5][6][7][8][9][10][11][12][13][14][15] for AdS black holes. In particular, Visser's recent proposal for a holographic thermodynamics [16] (when applied to black holes) can be regarded as a further development of EPST, which also applies specifically to AdS black holes only [17,18].…”

Section: Introductionunclassified

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Restricted Phased Space Thermodynamics for Black Holes in Higher Dimensions and Higher Curvature Gravities

Kong

Wang

Gao

et al. 2022

Entropy

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The recently proposed restricted phase space thermodynamics is shown to be applicable to a large class of higher dimensional higher curvature gravity models coupled to Maxwell field, which are known as black hole scan models and are labeled by the spacetime dimension d and the highest order k of the Lanczos-Lovelock densities appearing in the action. Three typical example cases with (d,k)=(5,1),(5,2) and (6,2) are chosen as example cases and studied in some detail. These cases are representatives of Einstein-Hilbert, Chern-Simons and Born-Infield like gravity models. Our study indicates that the Einstein-Hilbert and Born-Infield like gravity models have similar thermodynamic behaviors, e.g., the existence of isocharge T−S phase transitions with the same critical exponents, the existence of isovoltage T−S transitions and the Hawking-Page like transitions, and the similar high temperature asymptotic behaviors for the isocharge heat capacities, etc. However, the Chern-Simons like (5,2)-model behaves quite differently. Neither isocharge nor isovoltage T−S transitions could occur and no Hawking-Page like transition is allowed. This seems to indicate that the Einstein-Hilbert and Born-Infield like models belong to the same universality class while the Chern-Simons like models do not.

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Section: Throughout This Article We Work In Units Kunclassified

Section: Introductionmentioning

confidence: 99%

, together with its conjugate, the chemical potential

, where G is the variable Newton constant,

as given above is independent of holographic duality, therefore the RPST formalism is valid not only for AdS black holes but also for non-AdS ones.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionunclassified

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Restricted Phased Space Thermodynamics for Black Holes in Higher Dimensions and Higher Curvature Gravities

Kong

Wang

Gao

et al. 2022

Entropy

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“…Recently, a new formalism for studying the thermodynamics of black holes has been proposed by including the parameters central charge and the chemical potential as a new couple of conjugate thermodynamics variables [24]. Also, in the dual theory, the square number of colors is connected to the central charge [25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

RPS Thermodynamics of Taub-NUT AdS Black Holes in the Presence of Central Charge and the Weak Gravity Conjecture

Sadeghi¹,

Shokri²,

Gashti³

et al. 2022

Preprint

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We study the thermodynamics of the Taub-NUT AdS black holes by Visser's holographic method using AdS radius as a constant parameter under the restricted phase space approach. Instead of the variables P and V , we deal with the central charge and also chemical potential as a unique couple of conjugate thermodynamic variables. We study some interesting properties of the Taub-NUT black holes e.g. supercritical phase equilibrium in the T − S processes, Q − Φ and the Hawking-Page phase transition in the µ − C processes. As a consequence, the consistency of the weak gravity conjecture of multi-charge for Taub-NUT-AdS black holes at critical points is proved. We conclude that in the presence of the central charge and assuming C = 3 8 2 , weak gravity conjecture could be satisfied in the Taub-NUT-AdS black holes with n 1.

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Holographic thermodynamics of rotating black holes

Gong

Jiang

Zhang

2023

J. High Energ. Phys.

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We provide mass/energy formulas for the extended thermodynamics, mixed thermodynamics, and holographic conformal field theory (CFT) thermodynamics for the charged and rotating Kerr-Newman Anti-de Sitter black holes. Then for the CFT thermal states dual to the black hole, we find the first-order phase transitions and criticality phenomena in the canonical ensemble with fixed angular momentum, volume, and central charge. We observe that the CFT states cannot be analogous to the Van der Waals fluids, despite the critical exponents falling into the universality class predicted by the mean field theory. Additionally, we examine the (de)confinement phase transitions within the grand canonical ensemble with fixed angular velocity, volume, and central charge of the CFT. Our findings suggest that the near zero temperature (de)confinement phase transitions can occur with the angular velocity of the CFT that solely depends on the CFT volume.

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Holographic thermodynamics requires a chemical potential for color

Cited by 67 publications

References 72 publications

Restricted Phased Space Thermodynamics for Black Holes in Higher Dimensions and Higher Curvature Gravities

Restricted Phased Space Thermodynamics for Black Holes in Higher Dimensions and Higher Curvature Gravities

RPS Thermodynamics of Taub-NUT AdS Black Holes in the Presence of Central Charge and the Weak Gravity Conjecture

Holographic thermodynamics of rotating black holes

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