Eur. Phys. J. C (2008) 54: 311-317
https://doi.org/10.1140/epjc/s10052-007-0513-2

Regular Article - Theoretical Physics

Strings in horizons, dissipation and a possible interpretation of the Hagedorn temperature

¹ Instituto de Física Teórica (IFT/UNESP), Rua Pamplona 145 – Bela Vista, 01405-900, São Paulo, SP, Brasil
² Instituto de Fisica La Plata, CONICET, UNLP, CC 67, Calles 49 y 115, 1900, La Plata, Buenos Aires, Argentina
³ UFPEL/UNIPAMPA-Bagé, Rua Carlos Barbosa S/N, Bairro Getúlio Vargas, 96412-420, Bagé, RS, Brasil

^* e-mail: botta@cbpf.br

Received: 10 October 2007
Revised: 28 November 2007
Published online: 19 January 2008

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 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 that is ill defined for temperatures higher than it. Possible implications of the present approach for the microscopical structure of stretched horizons are also pointed out.