Quantum effects in non inertial frames and quantum covariance

  • Denis bernard
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 246)


We review recent results in non-inertial quantum field theory. By formulating Q.F.T. in a large class of accelerated frames, the classical and the quantum aspects of the theory are unified. We describe the thermal effects, their asymptotic character and the role of the P.C.T. symmetry. A discussion of quantum covariance and detection processes is also given.


Lorentz Transformation Detection Process Hamiltonian Formulation Quantum Covariance Bogoliubov Transformation 
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  1. 1.
    S.W. Hawking, Com.Math.Phys., 43, 199, (1975).Google Scholar
  2. 1a.
    P.C.W. Davies, J.Phys., A8, 609 (1975).Google Scholar
  3. 1b.
    W.G. Unruh, Phys.Rev. D14, 870 (1976).Google Scholar
  4. 1c.
    S.A. Fulling, Phys.Rev. D7, 2850 (1973).Google Scholar
  5. 2.
    H. Rumpf, Phys.Rev. D28, 2946 (1983).Google Scholar
  6. 2a.
    S.M. Christensen and M.J. Duff, Nucl.Phys. B146, 11 (1978).Google Scholar
  7. 2b.
    P. Candelas and D. Deutsch, Proc.Roy.Soc. A362, 251 (1978) and Proc.Roy.Soc. A354, 79 (1977).Google Scholar
  8. 3.
    R.J. Hughes, Preprint CERN T.H. 3670 (1983).Google Scholar
  9. 3a.
    G.L. Sewell, Ann.Phys.N.Y., 141, 201, (1982).Google Scholar
  10. 4.
    C.W. Misner, K.S. Thorne, J.A. Wheeler, Gravitation, (Freeman, San Francisco 1973).Google Scholar
  11. 5.
    W.G. Unruh and N. Weiss, Phys.Rev. D29, 1656 (1984).Google Scholar
  12. 6.b.
    C. Itzykson and J.B. Zuber, Quantum field Theory, (Mc Graw Hill, N.Y., 1980).Google Scholar
  13. 6.
    N. Sanchez, Phys.Rev. D24, 2100 (1981).Google Scholar
  14. 7.
    D. Bernard and N. Sanchez, preprint in preparation.Google Scholar
  15. 8.
    P.C.W. Davies, Proc.Roy.Soc. Lond, A354, 529 (1977).Google Scholar
  16. 9.
    R. Balbinot and R. Horeanini, Phys.Lett., 151B, 401 (1985).Google Scholar
  17. 9a.
    N. Sánchez, to appear in Nucl. Phys. B.Google Scholar
  18. 10.
    G.t'Hooft, J. Geometry and PHys., 1, 45 (1984).Google Scholar
  19. 10a.
    G. t'Hooft, Utrecht Preprint, December (1984).Google Scholar
  20. 11.
    G. Gibbons, in Cargèse Lectures 1985, to appear.Google Scholar
  21. 11a.
    N. Sanchez and B. Whiting, in preparation.Google Scholar
  22. 12.
    R. Haag, H. Narnhofer and U. Stein, Com.Math.Phys., 94, 219 (1984).Google Scholar
  23. 13.
    Lichnerowitz, in Les Houches, 1963, edited by C. de Witt and B.S. de Witt, Gordon and Beach.Google Scholar
  24. 14.
    R. Kubo, J.Phys.Soc. Japan, 12, 570 (1957).Google Scholar
  25. 14a.
    P.C. Martin and J. Schwinger, Phys.Rev. 115, 1342 (1969).Google Scholar
  26. 15.
    See, for example, F.G. Friedlander, The wave equation on a curved spacetime, (Cambridge University Press, Cambridge, 1975).Google Scholar
  27. 16.
    S.A. Fulling, F.J. Narcowich, R.M. Wald, Ann.Phys. N.Y., 136, 243 (1981).Google Scholar
  28. 17.
    D. Bernard, Meudon Preprint, 1985.Google Scholar
  29. 18.
    N.D. Birrel and P.C.W. Davies, Quantum fields in curved space (Cambridge University Press, Cambridge, 1982).Google Scholar
  30. 18a.
    M.R. Brown and A.C. Ottewill, Proc.Roy.Soc.Lond. A389, 379 (1983).Google Scholar
  31. 19.
    K. Freese, C.T. Hill and R. Mueller, Nucl.Phys. B, (1985).Google Scholar
  32. 20.
    T.D. Lee, Columbia University Preprint (1985).Google Scholar
  33. 21.
    D.W. Sciama, P. Candelas and D. Deutsch, Adv.Phys. 30, 327 (1981).Google Scholar
  34. 22.
    T.H. Boyer, Phys.Rev. 221, 2137 (1980).Google Scholar
  35. 23.
    S. Hacyan et al., Phys.Rev. D32, 914 (1985).Google Scholar
  36. 24.
    W.G. Unruh, Phys.Rev. D14, 870 (1976).Google Scholar
  37. 24a.
    B.S. de Witt, in General Relativity: an Einstein centenary survey, edited by S.W. Hawking and W. Israel, (Cambridge University Press, Cambridge, 19 ).Google Scholar
  38. 24b.
    W.G. Unruh and R.M. Wald, Phys.Rev. D29, 1043 (1984).Google Scholar
  39. 25.
    J.R. Letaw, Phys.Rev. D23, 1709 (1981).Google Scholar
  40. 26.
    J.R. Letaw and J.D. Pfautsch, Phys.Rev. D24, 1491 (1982).Google Scholar
  41. 27.
    N. Myhrwold, Phys. Lett., 100A, 345 (1984).Google Scholar
  42. 28.
    K.J. Hinton, J. Phys. A: Math.Gen., 16, 1937 (1983).Google Scholar
  43. 28a.
    K.J. Hinton, Class. Quantum Grav., 1, 27, (1984).Google Scholar
  44. 29.
    P.C.W. Davies, in Essays in Honor of the Sixtieth Birthday of B.S. deWitt; edited by S. Christensen. (Adam Hilger, Bristol, 1984).Google Scholar
  45. 30.
    N. Sánchez, to appear in Phys.Lett.AGoogle Scholar
  46. 30a.
    K. Hinton, P.C.W. Davies, J. Pfautsch, Phys. Lett. 120B, 88 (1983).Google Scholar
  47. 30b.
    W. Israel, J.M. Nester, Phys.Lett., 98A, 329 (1983)Google Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Denis bernard
    • 1
  1. 1.Groupe d'Astrophysique RelativisteC.N.R.S. — Observatoire de Paris-MeudonMeudon Principal CedexFrance

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