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Prog. Theor. Phys. Vol. 64 No. 4 (1980) pp. 1280-1293

[ Full Text PDF : FREE ACCESS (865K) ]

On the Definition of a Positive Frequency Part for a Quantized Scalar Field in Several Robertson-Walker Universes

Hidekazu Nariai and Takehiro Azuma

Research Institute for Theoretical Physics, Hiroshima University, Takehara, Hiroshima 725

(Received April 5, 1980)

Abstract:

The concept of a positive frequency part in the beginning of the cosmic expansion for a quantized field is important in discussing the pair-creation of the corresponding particles in an early universe. Therefore, an attempt is made to examine how the positive frequency part is defined for a canonically quantized massive or massless scalar field coupled conformally or minimally to one of several isotropic universes with flat 3-space. It is shown that there exists a variety of possibilities to the problem, so that the validity of our modified thermal law for the production of massive scalar particles coupled conformally to the Chitre-Hartle universe is not universal. A counterplan to remove the difficulty in defining the required positive frequency part for a massive scalar field in the radiation dominated Friedmann universe (whose physical reality in an early stage of the cosmic evolution is now established) is also touched upon.


URL : http://ptp.ipap.jp/link?PTP/64/1280/
DOI : 10.1143/PTP.64.1280

[ Full Text PDF : FREE ACCESS (865K) ] Citation:

References:

  1. D. M. Chitre and J. B. Hartle, Phys. Rev. D 16 (1977), 251[APS].
  2. H. Nariai, Prog. Theor. Phys. 58 (1977), 560[PTP]; ibid. 58 (1977), 842[PTP].
  3. H. Nariai, Prog. Theor. Phys. 63 (1980), 324[PTP].
  4. S. A. Fulling, Gen. Relat. Gravit. 10 (1979), 807.
  5. L. Parker, Phys. Rev. D 7 (1973), 976[APS].
  6. G. W. Gibbons and S. W. Hawking, Phys. Rev. D 15 (1977), 2738[APS].
  7. H. Nariai and T. Kimura, Prog. Theor. Phys. 29 (1963), 296[PTP].
  8. J. Audretsch and G. Schäfer, Phys. Lett. A 66 (1978), 459[CrossRef].
  9. H. Nariai, Prog. Theor. Phys. 62 (1979), 832[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 65 No. 2 (1981) pp. 507-524 :
    On the Particle-Defining Modes for a Free Neutral Scalar Field in Spatially Homogeneous and Isotropic Universes
    Hideo Kodama
  2. Progress of Theoretical Physics Vol. 66 No. 6 (1981) pp. 2073-2084 :
    Initial Behavior of a Quantized Scalar Field and the Associated Pair-Creation in Several Anisotropic Universes
    Hidekazu Nariai
  3. Progress of Theoretical Physics Vol. 67 No. 2 (1982) pp. 693-696 :
    Cosmological Particle Creation
    Ch. Charach
  4. Progress of Theoretical Physics Vol. 68 No. 4 (1982) pp. 1147-1156 :
    On the Creation of Scalar Particles in an Early Stage of the Friedmann Closed-Universe
    Hideki Ishihara and Hidekazu Nariai
  5. Progress of Theoretical Physics Vol. 69 No. 3 (1983) pp. 842-856 :
    On the Creation of Particles through Their Interaction in an Expanding Universe
    Yuhji Kuroda
  6. Progress of Theoretical Physics Supplement No.70 (1981) pp. 301-321 :
    Initial Behavior of a Quantized Scalar Field and the Associated Pair-Creation in Several Isotropic Closed and Open Universes
    Hidekazu Nariai

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