On the phase transition of conformal field theories with holographic duals

被引:24
作者
Cappiello, L
Mück, W
机构
[1] Univ Naples Federico II, Dipartimento Sci Fisiche, I-80126 Naples, Italy
[2] Ist Nazl Fis Nucl, Sez Napoli, I-80126 Naples, Italy
关键词
D O I
10.1016/S0370-2693(01)01283-7
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study the thermodynamic relations of conformal field theories (CFTs), which are holographically dual to anti-de Sitter-Schwarzschild bulk spacetimes. A Cardy-Verlinde formula is derived thermodynamically for CFTs living on S(n)xR with S-n having an arbitrary radius. The Hawking-Page phase transition of the CFT is described using Landau's theory of phase transitions, and an alternative derivation of the Cardy-Verlinde formula is presented. The condensate in the high temperature phase is identified as being composed of radiational matter. (C) 2001 Elsevier Science B.V. All rights reserved.
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收藏
页码:139 / 144
页数:6
相关论文
共 30 条
[11]  
KLEMM D, HEPTH0104141
[12]  
LANDAU LD, 1963, STAT PHYSICS
[13]   Casimir effect of the graviton and the entropy bound [J].
Lin, FL .
PHYSICAL REVIEW D, 2001, 63 (06)
[14]  
NOJIRI S, HEPTH0011115
[15]  
NOJIRI S, HEPTH0103078
[16]  
NOJIRI S, HEPTH0105052
[17]  
NOJIRI S, HEPTH0105117
[18]   CFT and entropy on the brane [J].
Savonije, I ;
Verlinde, E .
PHYSICS LETTERS B, 2001, 507 (1-4) :305-311
[19]   Anti-de Sitter no-hair, AdS/CFT and the brane-world [J].
Shiromizu, T ;
Ida, D .
PHYSICAL REVIEW D, 2001, 64 (04)
[20]  
STEPHENS G, GRQC0102052