- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Quantum inequalities for the electromagnetic field

Michael J. Pfenning*

  • Department of Physics, University of Guelph, Guelph, Ontario, Canada N1G 2W1

  • *Email address: mitchel@physics.uoguelph.ca
PDF

Phys. Rev. D 65, 024009 – Published 19 December, 2001

DOI: https://doi.org/10.1103/PhysRevD.65.024009

Abstract

A quantum inequality for the quantized electromagnetic field is developed for observers in static curved spacetimes. The quantum inequality derived is a generalized expression given by a mode function expansion of the four-vector potential, and the sampling function used to weight the energy integrals is left arbitrary up to the constraints that it be a positive, continuous function of unit area and that it decays at infinity. Examples of the quantum inequality are developed for Minkowski spacetime, Rindler spacetime and the Einstein closed universe.

View figure in article

References (38)

  1. H. Epstein, V. Glaser, and A. Jaffe, Nuovo Cimento 36, 1016 (1965).
  2. L.H. Ford, Phys. Rev. D 43, 3972 (1991).
  3. G. Klinkhammer, Phys. Rev. D 43, 2542 (1991).
  4. R. Wald and U. Yurtsever, Phys. Rev. D 44, 403 (1991).
  5. L.H. Ford and T.A. Roman, Phys. Rev. D 51, 4277 (1995).
  6. U. Yurtsever, Phys. Rev. D 51, 5797 (1995).
  7. L.H. Ford and T.A. Roman, Phys. Rev. D 55, 2082 (1997).
  8. M.J. Pfenning and L.H. Ford, Phys. Rev. D 55, 4813 (1997).
  9. L.H. Ford, M.J. Pfenning, and T.A. Roman, Phys. Rev. D 57, 4839 (1998).
  10. Éanna É. Flanagan, Phys. Rev. D 56, 4922 (1997).
  11. D.-Y. Song, Phys. Rev. D 55, 7586 (1997).
  12. M.J. Pfenning and L.H. Ford, Phys. Rev. D 57, 3489 (1998).
  13. M.J. Pfenning, Ph.D. thesis, Tufts University, Medford, Massachusetts, 1998, gr-qc/9805037.
  14. C.J. Fewster and S.P. Eveson, Phys. Rev. D 58, 084010 (1998).
  15. C.J. Fewster and E. Teo, Phys. Rev. D 59, 104016 (1999).
  16. L.H. Ford and T.A. Roman, Phys. Rev. D 60, 104018 (1999).
  17. A.D. Helfer, hep-th/9908012.
  18. C.J. Fewster and E. Teo, Phys. Rev. D 61, 084012 (2000).
  19. C.J. Fewster, Class. Quantum Grav. 17, 1897 (2000).
  20. D.N. Vollick, Phys. Rev. D 61, 084022 (2000).
  21. C.J. Fewster and R. Verch, math-ph/0105027.
  22. R. M. Wald, General Relativity (The University of Chicago Press, Chicago, IL, 1984).
  23. J. Dimock, Rev. Math. Phys. 4, 223 (1992).
  24. L.H. Ford, Phys. Rev. D 31, 704 (1985).
  25. S.N. Gupta, Proc. Phys. Soc. London, Sect. A 63, 681 (1950).
  26. S. N. Gupta, Quantum Electrodynamics (Gordon and Breach, New York, 1977).
  27. L.C.B. Crispino, A. Higuchi, and G.E.A. Matsas, Phys. Rev. D 63, 124008 (2001).
  28. J. Plebanski, Phys. Rev. 118, 1396 (1960).
  29. A.M. Volkov, A.A. Izmest’ev, and G.V. Skrotskiĭ, Sov. Phys. JETP 32, 686 (1971).
  30. B. Mashhoon, Phys. Rev. D 8, 4297 (1973).
  31. P. Candelas and D. Deutsch, Proc. R. Soc. London, Ser. A 354, 79 (1977).
  32. A. Higuchi, G.E.A. Matsas, and D. Sudarsky, Phys. Rev. D 46, 3450 (1992).
  33. V. Moretti, J. Math. Phys. 38, 2922 (1996).
  34. S.A. Fulling, Phys. Rev. D 7, 2850 (1973).
  35. I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products, 5th ed. (Academic Press, San Diego, 1994).
  36. E.M. Lifshitz, J. Phys. (Moscow) 10, 116 (1946).
  37. L. Parker, Phys. Rev. D 5, 2905 (1972).
  38. L.H. Ford, Phys. Rev. D 14, 3304 (1976).

Outline

Information

Phys. Rev. D 65, 024009– Published 19 December, 2001
  • Received 25 July 2001

© 2001 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation