Closed string thermal torus from thermo field dynamics

被引:21
作者
Abdalla, MCB [1 ]
Gadelha, AL [1 ]
Nedel, DL [1 ]
机构
[1] Univ Estadual Paulista, Inst Fis Teor, BR-01405900 Sao Paulo, Brazil
基金
巴西圣保罗研究基金会;
关键词
D O I
10.1016/j.physletb.2005.03.048
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this Letter a topological interpretation for the string thermal vacuum in the thermo field dynamics (TFD) approach is given. As a consequence, the relationship between the imaginary time and TFD formalisms is achieved when both are used to study closed strings at finite temperature. The TFD approach starts by duplicating the system's degrees of freedom, defining an auxiliary (tilde) string. In order to lead the system to finite temperature a Bogoliubov transformation is implemented. We show that the effect of this transformation is to glue together the string and the tilde string to obtain a torus. The thermal vacuum appears as the boundary state for this identification. Also, from the thermal state condition, a Kubo-Martin-Schwinger condition for the torus topology is derived. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:213 / 220
页数:8
相关论文
共 34 条
[1]  
Abdalla M. C. B., 2004, P 4 INT WINT C MATH, V032
[2]   On the entropy operator for the general SU(1,1) TFD formulation [J].
Abdalla, MCB ;
Gadelha, AL ;
Nedel, DL .
PHYSICS LETTERS A, 2005, 334 (2-3) :123-131
[3]   SU(1,1) thermal group of bosonic strings and D-branes -: art. no. 065005 [J].
Abdalla, MCB ;
Gadelha, AL ;
Vancea, IV .
PHYSICAL REVIEW D, 2002, 66 (06)
[4]   TFD approach to bosonic strings and Dp-branes [J].
Abdalla, MCB ;
Gadelha, AL ;
Vancea, IV .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2003, 18 (12) :2109-2117
[5]   Entropy of bosonic open string and boundary conditions [J].
Abdalla, MCB ;
Graça, EL ;
Vancea, IV .
PHYSICS LETTERS B, 2002, 536 (1-2) :114-120
[6]   Bosonic D-branes at finite temperature with an external field [J].
Abdalla, MCB ;
Gadelha, AL ;
Vancea, IV .
PHYSICAL REVIEW D, 2001, 64 (08)
[7]  
ABDALLA MCB, HEPTH0308114
[8]  
Castellani L., 1991, SUPERGRAVITY SUPERST, V3
[9]   Generalized Bogoliubov transformation for confined fields: Applications for the Casimir effect [J].
da Silva, JC ;
Khanna, FC ;
Neto, AM ;
Santana, AE .
PHYSICAL REVIEW A, 2002, 66 (05) :8
[10]  
Das A., 1977, FINITE TEMPERATURE F