Thermodynamics of bosonic systems in anti-de Sitter spacetime

被引:4
作者
Elias, Walace S. [1 ]
Molina, C. [2 ]
Baldiotti, M. C. [3 ]
机构
[1] Univ Fed Rural Amazonia, Inst Ciberespacial, Ave Presidente Tancredo Neves, BR-66077901 Belem, Para, Brazil
[2] Univ Sao Paulo, Escola Artes Ciencias & Humanidades, Ave Arlindo Bettio 1000, BR-03828000 Sao Paulo, SP, Brazil
[3] Univ Estadual Londrina, Dept Fis, BR-86051990 Londrina, Parana, Brazil
基金
巴西圣保罗研究基金会;
关键词
HYPERBOLIC STATIC SPACETIMES; HAMILTONIAN APPROACH; BLACK-HOLES; SCHWARZSCHILD; FLUCTUATIONS; DYNAMICS; FIELDS; SCALAR;
D O I
10.1103/PhysRevD.99.084028
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We analyze the thermodynamics of massless bosonic systems in D-dimensional anti-de Sitter spacetime, considering scalar, electromagnetic, and gravitational fields. Their dynamics are described by Plischl-Teller effective potentials and quantized in a unified framework, with the determination of the associated energy spectra. From the microscopic description developed, a macroscopic thermodynamic treatment is proposed, where an effective volume in anti-de Sitter geometry is defined and a suitable thermodynamic limit is considered. Partition functions are constructed for the bosonic gases, allowing the determination of several thermodynamic quantities of interest. With the obtained results, general aspects of the thermodynamics are explored.
引用
收藏
页数:19
相关论文
共 46 条
[21]   Bose condensation and branes [J].
Dolan, Brian P. .
JOURNAL OF HIGH ENERGY PHYSICS, 2014, (10)
[22]   Gravitational tension and thermodynamics of planar AdS spacetimes [J].
El-Menoufi, Basem Mahmoud ;
Ett, Benjamin ;
Kastor, David ;
Traschen, Jennie .
CLASSICAL AND QUANTUM GRAVITY, 2013, 30 (15)
[23]  
Gitman D., 2012, Self-adjoint Extensions in Quantum Mechanics: General Theory and Applications to Schrodinger and Dirac Equations with Singular Potentials
[24]   Gauge theory correlators from non-critical string theory [J].
Gubser, SS ;
Klebanov, IR ;
Polyakov, AM .
PHYSICS LETTERS B, 1998, 428 (1-2) :105-114
[25]   On the Integral Law of Thermal Radiation [J].
Gusev, Y. V. .
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2014, 21 (04) :460-471
[26]   THERMODYNAMICS OF BLACK-HOLES IN ANTI-DESITTER SPACE [J].
HAWKING, SW ;
PAGE, DN .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 87 (04) :577-588
[27]   Thermodynamics of large AdS black holes [J].
Hemming, Samuli ;
Thorlacius, Larus .
JOURNAL OF HIGH ENERGY PHYSICS, 2007, (11)
[28]   QUANTIZATION OF SCALAR AND VECTOR-FIELDS INSIDE THE COSMOLOGICAL EVENT HORIZON AND ITS APPLICATION TO THE HAWKING EFFECT [J].
HIGUCHI, A .
CLASSICAL AND QUANTUM GRAVITY, 1987, 4 (03) :721-740
[29]   Hawking radiation from AdS black holes [J].
Hubeny, Veronika E. ;
Marolf, Donald ;
Rangamani, Mukund .
CLASSICAL AND QUANTUM GRAVITY, 2010, 27 (09)
[30]   Dynamics in non-globally-hyperbolic static spacetimes: III. Anti-de sitter spacetime [J].
Ishibashi, A ;
Wald, RM .
CLASSICAL AND QUANTUM GRAVITY, 2004, 21 (12) :2981-3013