2007
DOI: 10.1088/1126-6708/2007/02/037
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First order semiclassical thermal string in the AdS spacetime

Abstract: We formulate the finite temperature theory for the free thermal excitations of the bosonic string in the anti-de Sitter (AdS) spacetime in the Thermo Field Dynamics (TFD) approach. The spacetime metric is treated exactly while the string and the thermal reservoir are semiclassically quantized at the first order perturbation theory with respect to the dimensionless parameter ǫ = α ′ H −2 . In the conformal D = 2 + 1 black-hole AdS background the quantization is exact. The method can be extended to the arbitrary… Show more

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Cited by 8 publications
(10 citation statements)
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“…Also, it could be used to study the thermal string in curved backgrounds, too, at least in some approximation in which there is a canonical quantization of the theory. We hope to report on this topic soon [20].…”
Section: Discussionmentioning
confidence: 97%
“…Also, it could be used to study the thermal string in curved backgrounds, too, at least in some approximation in which there is a canonical quantization of the theory. We hope to report on this topic soon [20].…”
Section: Discussionmentioning
confidence: 97%
“…forN ω given in (54). The expression (60) is compatible with the Cardy formula for a central charge c = 1.…”
Section: The Bogoliubov Transformation Entropy Operator and Thermentioning
confidence: 65%
“…We have used the semiclassical quantization method to derive the perturbative Dbrane boundary conditions in curved spacetime and in the presence of a constant KR-field. The strong gravitational field corresponds to the first order perturbation theory for which the boundary equations in arbitrary background metric have been derived in the equations ( 9) and (10). In the AdS background, the first order boundary conditions have been written in the Fock space of the free transversal string modes in (22)-(24).…”
Section: Conclussions and Discussionmentioning
confidence: 99%