Skip to main content

Toward a Complete Theory for Unconventional Vacua

  • Chapter
  • 134 Accesses

Abstract

The vacuum is a well-defined notion in a free quantum field theory in unbounded flat space-time, if we use inertial observers; but it is an ill-defined notion if we try to work in a bounded or a curved space-time, or if we use accelerated observers. In these cases infinite new vacuum notion must be defined; and we must deal with unconventional vacua. In this chapter we introduce a reasonable vacuum definition in all the cases where we deal with noninertial observers in curved space-time (bounded space-time will be treated elsewhere).

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. N. D. Birrel and P. C. W. Davies, Quantum Fields in Curved Space, Cambridge University Press, Cambridge, 1982.

    Book  Google Scholar 

  2. S. A. Fulling, Gen. Rel. Grav.10, 807 (1979).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. M. Castagnino and F. D. Mazzitelli, Phys. Rev. D31, 742 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  4. M. Castagnino and R. Ferraro, Phys. Rev. D34, 497 (1986).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. C. Cattaneo, Nuovo Cimento10, 318 (1958).

    Article  MathSciNet  MATH  Google Scholar 

  6. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation, Freeman, San Francisco, 1973.

    Google Scholar 

  7. R. Ruffini and S. Bonazzola, Phys. Rev.187, 1767 (1969).

    Article  ADS  Google Scholar 

  8. M. Castagnino, C. R. Acad. Sci. Paris268, 1157 (1969).

    MathSciNet  Google Scholar 

  9. N. A. Chernikov and B. A. Tagirov, Ann. Inst. H. Poincaré9, 109 (1968).

    MathSciNet  MATH  Google Scholar 

  10. A. A. Grib, S. G. Mamayev, and V. M. Mostepanenko, J. Phys. A13, 2057 (1980).

    Article  MathSciNet  ADS  Google Scholar 

  11. Ch. Charach and L. Parker, Phys. Rev. D24, 3023 (1981).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. D. N. Chitre and J. B. Hartle, Phys. Rev. D16, 251 (1977).

    Article  MathSciNet  ADS  Google Scholar 

  13. E. Calzetta and M. Castagnino, Phys. Rev. D28, 1298 (1983).

    Article  ADS  Google Scholar 

  14. E. Calzetta and M. Castagnino, Phys. Rev. D29, 1609 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  15. M. Castagnino, On the vacuum definition in curved space-time, in Proceedings of the HI Quantum Gravity Seminar, Moscow, World Scientific, Singapore, 1985, p. 496.

    Google Scholar 

  16. M Castagnino and L. Chimento, Weak and strong quantum vacua II, submitted to Phys. Rev. D34, 3676 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  17. N. Sanchez, Phys. Rev. D24, 2100 (1981).

    Article  MathSciNet  ADS  Google Scholar 

  18. M. R. Brown, A. C. Otewill, and S. T. C. Siklos, Phys. Rev. D26, 1881 (1982).

    Article  MathSciNet  ADS  Google Scholar 

  19. M. Castagnino and R. Ferraro, Ann. Phys. (N.Y.)161, 1 1985.

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer Science+Business Media New York

About this chapter

Cite this chapter

Castagnino, M., Ferraro, R. (1988). Toward a Complete Theory for Unconventional Vacua. In: Teitelboim, C. (eds) Quantum Mechanics of Fundamental Systems 1. Series of the Centro de Estudios Científicos de Santiago. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3728-5_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-4899-3728-5_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-3730-8

  • Online ISBN: 978-1-4899-3728-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics