Skip to main content
Log in

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

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J.J. Atick, E. Witten, Nucl. Phys. B 310, 291 (1988)

    Article  ADS  MathSciNet  Google Scholar 

  2. M. McGuigan, Phys. Rev. D 50, 5225 (1994) [hep-th/9406201]

    Article  ADS  MathSciNet  Google Scholar 

  3. Black Holes: The Membrane Paradigm, ed. by K.S. Thorne, R.H. Price, D.A. Macdonald (Yale University Press, New Haven, USA, 1986), p. 367

  4. L. Susskind, L. Thorlacius, J. Uglum, Phys. Rev. D 48, 3743 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  5. L. Susskind, Phys. Rev. D 49, 6606 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  6. V.P. Frolov, N. Sanchez, Nucl. Phys. B 349, 815 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  7. N. Sanchez, Phys. Lett. B 195, 160 (1987)

    Article  ADS  MathSciNet  Google Scholar 

  8. G. Policastro, D.T. Son, A.O. Starinets, Phys. Rev. Lett. 87, 081601 (2001) [hep-th/0104066]

    Article  ADS  Google Scholar 

  9. G. Policastro, D.T. Son, A.O. Starinets, JHEP 0209, 043 (2002) [hep-th/0205052]

    Article  ADS  MathSciNet  Google Scholar 

  10. C.P. Herzog, JHEP 0212, 026 (2002) [hep-th/0210126]

    Article  ADS  Google Scholar 

  11. P. Kovtun, D.T. Son, A.O. Starinets, JHEP 0310, 064 (2003) [hep-th/0309213]

    Article  ADS  MathSciNet  Google Scholar 

  12. H.J. de Vega, N.G. Sanchez, Nucl. Phys. B 299, 818 (1988)

    Article  ADS  Google Scholar 

  13. M.B.C. Abdalla, A.L. Gadelha, D.L. Nedel, Phys. Lett. B 613, 213 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  14. S. Takagi, Prog. Theor. Phys. Suppl. 88, 1 (1986)

    Article  ADS  MathSciNet  Google Scholar 

  15. A. Iorio, G. Lambiase, G. Vitiello, Ann. Phys. 309, 151 (2004)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  16. A.L. Gadelha, D.Z. Marchioro, D.L. Nedel, Phys. Lett. B 639, 383 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  17. H. Umezawa, Advanced Field Theory: Micro, Macro and Thermal Field (American Institute of Physics Press, New York, 1995)

    Google Scholar 

  18. W. Israel, Phys. Lett. A 57, 107 (1976)

    Article  ADS  MathSciNet  Google Scholar 

  19. R. Laflamme, Nucl. Phys. B 324, 233 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  20. J. Casalderrey-Solana, D. Teaney, JHEP 0704, 039 (2007) [hep-th/0701123]

    Article  MathSciNet  Google Scholar 

  21. D. Berenstein, H. Chung, 0705.3110 [hep-th]

  22. T. Arimitsu, H. Umezawa, Y. Yamanaka, J. Math. Phys. 28, 2741 (1987)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  23. T. Arimitsu, H. Umezawa, Prog. Theor. Phys. 77, 53 (1987)

    Article  ADS  Google Scholar 

  24. T. Arimitsu, H. Umezawa, Prog. Theor. Phys. 77, 32 (1987)

    Article  ADS  Google Scholar 

  25. D.A. Lowe, J. Polchinski, L. Susskind, L. Thorlacius, J. Uglum, Phys. Rev. D 52, 6997 (1995) [hep-th/9506138]

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Botta Cantcheff.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abdalla, M., Botta Cantcheff, M. & Nedel, D. Strings in horizons, dissipation and a possible interpretation of the Hagedorn temperature. Eur. Phys. J. C 54, 311–317 (2008). https://doi.org/10.1140/epjc/s10052-007-0513-2

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s10052-007-0513-2

Keywords

Navigation