Skip to main content

Quantum fields, gravitation and thermodynamics

  • Conference paper
  • First Online:
Stochastic Processes — Mathematics and Physics II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1250))

  • 448 Accesses

Abstract

The thermalisation of quantum fields by gravitational ones associated with certain event horizons, as in the Hawking-Unruh effect, is shown to be a general, model-independent consequence of the basic axioms of quantum theory, general relativity and statistical thermodynamics, closely connected with the PCT theorem.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. Glimm and A. Jaffe: ‘Quantum Physics’, Springer, New York, Heidelberg, Berlin, 1981.

    Book  MATH  Google Scholar 

  2. S.W. Hawking: Commun. Math. Phys. 43, 199 (1975.

    Article  MathSciNet  Google Scholar 

  3. W.G. Unruh: Phys. Rev. D, 14, 870 (1976).

    Article  Google Scholar 

  4. P.C.W. Davies: J. Phys. A 8, 609 (1975).

    Article  Google Scholar 

  5. G.L. Sewell: Ann. Phys. 141, 201 (1982).

    Article  MathSciNet  Google Scholar 

  6. G.G. Emch: ‘Algebraic Methods in Statistical Mechanics and Quantum Field Theory’, Wiley-Interscience, London, New York, 1971.

    Google Scholar 

  7. G.L. Sewell: ‘Quantum Theory of Collective Phenomena’, to be published by Oxford University Press.

    Google Scholar 

  8. R. Haag, N.M. Hugenholtz and M. Winnink: Commun. Math. Phys. 5, 215 (1967).

    Article  MathSciNet  Google Scholar 

  9. G.L. Sewell: Phys. Rep. 57, 307 (1980).

    Article  MathSciNet  Google Scholar 

  10. A. Kossakowski, A. Frigerio, V. Gorini and M. Verri: Commun. Math. Phys. 57, 97 (1977).

    Article  MathSciNet  Google Scholar 

  11. C.W. Misner, K.S. Thorne and J.A. Wheeler: ‘Gravitation’, W.H. Freeman and Co., San Francisco, 1973.

    Google Scholar 

  12. R.F. Streater and A.S. Wightman: ‘PCT, Spin and Statistics and All That’, Benjamin, New York, Amsterdam, 1964.

    MATH  Google Scholar 

  13. J.J. Bisognano and E.H. Wichmann: J. Math. Phys. 16, 985 (1975).

    Article  MathSciNet  Google Scholar 

  14. J.S. Bell and J.M. Leinaas: Nucl. Phys. B212, 131 (1983). J.S. Bell, R.J. Hughes and J.M. Leinaas: CERN-TH. 3948184 Preprint.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Sergio Albeverio Philippe Blanchard Ludwig Streit

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Sewell, G.L. (1987). Quantum fields, gravitation and thermodynamics. In: Albeverio, S., Blanchard, P., Streit, L. (eds) Stochastic Processes — Mathematics and Physics II. Lecture Notes in Mathematics, vol 1250. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077362

Download citation

  • DOI: https://doi.org/10.1007/BFb0077362

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17797-5

  • Online ISBN: 978-3-540-47835-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics