Strings in Horizons, Dissipation and a Possible Interpretation of the Hagedorn Temperature

Abstract

We consider the entanglement of closed bosonic strings intersecting the event horizon of a Rindler spacetime and, by using some simplified (rather semiclassical) arguments and some elements of the string field theory, we show the existence of a critical temperature beyond which closed strings \emph{cannot be in thermal equilibrium}. The order of magnitude of this critical value coincides with the Hagedorn temperature, which suggests an interpretation consistent with the fact of having a partition function which is bad defined for temperatures higher than it. Possible implications of the present approach on the microscopical structure of stretched horizons are also pointed out.

arXiv commentA detailed description of string boundary states in a Rindler horizon was added, and their relation with the stretched horizon microscopic structure was emphasized. References added. To appear in Eur. Phys. J. C

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• String Entanglement and D-branes as Pure States
• String in AdS Black Hole: A Thermo Field Dynamic Approach
• Hagedorn String Thermodynamics in Curved Spacetimes and near Black Hole Horizons
• Left/right entanglement and thermalization of time dependent plane wave Green-Schwarz superstring
• Strings from geometric tachyon in Rindler space and black hole thermodynamics
• Does HM mechanism work in string theory?
• Quantization of Open strings in time dependent Black Holes