Closed string thermal torus from thermo field dynamics

Abdalla, M. C. B.; Gadelha, A. L.; Nedel, Daniel L.

doi:10.1016/j.physletb.2005.03.048

Cited by 31 publications

(44 citation statements)

References 29 publications

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“…The total Hilbert space is the tensor product of the two spaces H right ,H lef t , where in this case H lef t/right denotes the physical quantum states space of the closed string .The left hand of string affects the right hand of string by entanglement [6,10].Thus, in agreement with Refs. [6,10] we may write the Bogoliubov transformation between the Minkowski and string creation and annihilation operators :…”

Section: Hm Mechanism At Correspondence Pointsupporting

confidence: 78%

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Does the HM mechanism work in string theory?

2013

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Abstract:The correspondence principle offered a unique opportunity to test the Horowitz and Maldacena mechanism at correspondence point "the centre of mass energies around (M s /(g s ) 2 ) ".First by using Horowitz and Maldacena proposal, the black hole final state for closed strings is studied and the entropy of these states is calculated.Then, to consider the closed string states, a copy of the original Hilbert space is constructed with a set of operators of creation/anihilation that have the same commutation properties as the original ones. The total Hilbert space is the tensor product of the two spacesH right ⊗ H lef t , where in this case H lef t/right denotes the physical quantum states space of the closed string .It is shown that closed string states can be represented by a maximally entangled two-mode squeezed state of the left and right spaces of closed string. Also, the entropy for these string states is calculated.It is found that black hole entropy matches the closed string entropy at transition point.This means that our result is consistent with correspondence principle and thus HM mechanism in string theory works . Consequently the unitarity of the black hole in string theory can be reconciled.However Gottesman and Preskill point out that, in this scenario, departures from unitarity can arise due to interactions between the collapsing body and the infalling Hawking radiation inside the event horizon and information can be lost. By extending the Gottesman and Preskill method to string theory, the amount of information transformation from the matter to the state of outgoing Hagedorn radiation for closed strings is obtained.It is observed that information is lost for closed strings. * shoorvazi@gmail.com 2

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Section: Hm Mechanism At Correspondence Pointsupporting

confidence: 78%

“…Using equation (7) we observe that the string states in the horizon satisfy the following condition [6]: where we have defined the respective string coordinates up to a shift:σ out ≡ σ in + λ [6,10]. Now, we assume that the Kruskal vacuum |BH i in out is related to the flat vacuum |0 s by…”

Section: The Black Hole States For Closed Stringmentioning

confidence: 99%

Does the HM mechanism work in string theory?

2013

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“…The relation (30) holds after the string symmetries have been fixed. It implies that only the physical states contribute to the trace.…”

Section: Thermal String Vacuummentioning

confidence: 99%

“…In [28,29] the string entropy from the TFD in the pp-wave background was calculated. An important result was obtained in [30] where it was shown the equivalence between the TFD and the Matsubara formalisms, respectively, in the string theory (see also [31,32].) In [33,34,35], a new method for obtaining thermal boundary states from bosonic D-brane states was proposed (see for reviews and related problems [36,37,38].)…”

Section: Introductionmentioning

confidence: 99%

First order semiclassical thermal string in the AdS spacetime

Belich

Graca

Santos

et al. 2007

J. High Energy Phys.

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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 AdS spacetime only in the first order perturbation. This approximation is taken in the center of mass reference frame and it is justified by the fact that at the first order the string dynamics is determined only by the interaction between the free string oscillation modes and the exact background. The first order thermal string is obtained by thermalization of the T = 0 system carried on by the TFD Bogoliubov operator. We determine the free thermal string states and compute the local entropy and free energy in the center of mass reference frame. *

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“…It was appointed out by Polchinski [14] that, in the one-string sector, the torus path integral computation of the free energy coincides with what we would obtain by adding the contributions from different states of the spectrum to the free energy. In a recent work [15] it was shown how the closed string thermal torus can be viewed in TFD approach.…”

Section: ¤mentioning

confidence: 99%