Skip to main content
SpringerLink
Log in

Quantum fields in curved space-times and scattering theory

  • VI. Quantum Field Theory
  • Conference paper
  • First Online:
Differential Geometric Methods in Mathematical Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 905))

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

Access this chapter

Log in via an institution
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. Hawking, S.W., Commun. math. Phys. 43 (1975) 199.

    Article  MathSciNet  Google Scholar 

  2. Reed, M. and Simon, B., Methods of Modern Mathematical Physics, Vols I–IV. Academic, New York-London. (1972, 75, 79, 78) and further volumes to appear.

    MATH  Google Scholar 

  3. Hawking, S.W. and Ellis G.F.R., The large scale structure of space-time. Cambridge University Press, Cambridge 1973.

    Book  MATH  Google Scholar 

  4. Chernoff, P.R., J. Funct. Anal. 12 (1973) 401.

    Article  MathSciNet  MATH  Google Scholar 

  5. Kay, B.S., Commun. math. Phys. 62 (1978) 55.

    Article  MathSciNet  Google Scholar 

  6. Kay, B.S., Commun. math. Phys. 71 (1980) 29.

    Article  MathSciNet  Google Scholar 

  7. Kay, B.S., J. Math. Phys. 20 (1979) 1712.

    Article  MathSciNet  Google Scholar 

  8. Kay, B.S., in Mathematical problems in theoretical physics: Proceedings Lausanne (1979), ed. K. Osterwalder. Springer Lecture notes in physics No. 116. Springer-Verlag, Berlin-Heidelberg-N.Y. (1980).

    Google Scholar 

  9. Kay, B.S., Decay of Massless and Massive Waves in Curved Space-Times (in prep.).

    Google Scholar 

  10. Dimock, J., J. Math. Phys. 20 (1979) 2549.

    Article  MathSciNet  MATH  Google Scholar 

  11. Dimock, J., Commun. math. Phys. 77 (1980) 219.

    Article  MathSciNet  MATH  Google Scholar 

  12. Dimock, J., Dirac Quantum Fields on a Manifold (Princeton IAS Preprint 1980) (to appear).

    Google Scholar 

  13. Dimock, J. and Kay, B.S., Classical Wave-Operators and Asymptotic Field Operators on Curved Space-Times (to appear).

    Google Scholar 

  14. Ashtekar, A. and Magnon, A., Proc. Roy. Soc. Lond. A346 (1975) 375.

    Article  MathSciNet  Google Scholar 

  15. Hajicek, P. in Differential geometric methods in mathematical physics II. Proceedings Bonn, 1977, ed. K. Bleuler, H.R. Petry, A. Reetz. Springer-Verlag, Berlin-Heidelberg-N.Y. (1978).

    Google Scholar 

  16. Isham, C.J., in Bonn proceedings (as above).

    Google Scholar 

  17. Moreno, C., J. Math. Phys. 18 (1977) 2153; 19 (1978) 92.

    Article  MATH  Google Scholar 

  18. Sewell, G.L., Phys. Lett. 79A (1980) 23.

    MathSciNet  Google Scholar 

  19. Wald, R.M., Ann. Phys. (N.Y.) 118 (1979) 490.

    Article  MathSciNet  Google Scholar 

  20. Wald, R.M., J. Math. Phys. 21 (1980) 2802.

    Article  MathSciNet  Google Scholar 

  21. DeWitt, B.S., Phys. Reports (Phys. Lett.) 19C (1975) 297.

    Google Scholar 

  22. Isham, C.J., in 8th Texas symposium on relativistic astrophysics (Ann. N.Y. Acad. Sci. 302 (1977) 114.)

    Google Scholar 

  23. Parker, L., in Asymptotic structure of space-times, eds. F.P. Esposito, L. Witten, Rlenum N.Y.-London (1977).

    Google Scholar 

  24. General relativity: an Einstein centenary survey, eds. S.W. Hawking and W. Israel. Cambridge University Press. Cambridge (1979).

    MATH  Google Scholar 

  25. General relativity and gravitation, Vols. I, II, ed. A. Held. Plenum, N.Y.-London (1980).

    Google Scholar 

  26. Recent developments in gravitation. Cargèse 1978, eds. M. Lévy and S. Deser. Plenum, N.Y.-London (1979).

    Google Scholar 

  27. Segal, I.E., in Cargèse lectures on theoretical physics: Application of Mathematics to Problems in Theoretical Physics, ed. F. Lurçat. Gordon and Breach, N.Y. (1967).

    Google Scholar 

  28. Wightman, A.S., in Invariant wave equations. Proceedings Erice 1977. Springer Lecture notes in physics No. 73. Springer-Verlag Berlin-Heidelberg-N.Y. (1978).

    MATH  Google Scholar 

  29. Avis, S.J. and Isham, C.J., in Cargèse (1978), ([26] above)..

    Google Scholar 

  30. Haag, R. and Kastler, D., J. Math. Phys. 5 (1964) 848.

    Article  MathSciNet  MATH  Google Scholar 

  31. Penrose, R., in [24] (above)..

    Google Scholar 

  32. Bongaarts, P., Ann. Phys. (N.Y.) 56 (1970) 108.

    Article  MathSciNet  Google Scholar 

  33. Dimock, J., J. Math. Phys. 20 (1979) 1791.

    Article  MathSciNet  MATH  Google Scholar 

  34. Shale, D., Trans. Am. Math. Soc. 103 (1962) 149.

    Article  MathSciNet  MATH  Google Scholar 

  35. Bogolubov, N.N., Logunov, A.A. and Todorov, I.T., Introduction to axiomatic quantum field theory. Benjamin, Reading, Mass. (1975).

    Google Scholar 

  36. Segal, I.E., in Conference on math. theory of elementary particles. Proceedings Dedham, Mass. 1965, eds. R. Goodman, I.E. Segal. M.I.T. Press, Cambridge, Mass. (1966).

    Google Scholar 

  37. Penrose, R., Proc. Roy. Soc. Lond. A284 (1965) 159.

    Article  MathSciNet  MATH  Google Scholar 

  38. Geroch, R., in Asymptotic structure of space-times, eds. F.P. Esposito, L. Witten. Plenum, N. Y.-London (1977).

    Google Scholar 

  39. Friedlander, F.G., The wave equation on a curved space-time. Cambridge University Press, Cambridge (1975).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Advanced Study, Princeton, N.J., USA

    Bernard S. Kay

  2. Blackett Laboratory, Imperial College, London

    Bernard S. Kay

  3. Institut für Theoretische Physik, Sidlerstraße 5, CH-3012, Bern, Switzerland

    Bernard S. Kay

Authors
  1. Bernard S. Kay
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institut für Theoretische Physik, Technische Universität Clausthal, 0-3392, Clausthal-Zellerfeld, Germany

    Heinz-Dietrich Doebner  & Stig I. Andersson  & 

  2. Institut für Theoretische Kernphysik, Universität Bonn, Nußallee 14-16, 0-5300, Bonn, Germany

    Herbert Rainer Petry

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kay, B.S. (1982). Quantum fields in curved space-times and scattering theory. In: Doebner, HD., Andersson, S.I., Petry, H.R. (eds) Differential Geometric Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 905. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092443

Download citation

  • DOI: https://doi.org/10.1007/BFb0092443

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11197-9

  • Online ISBN: 978-3-540-39002-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation