Prog. Theor. Phys. Vol. 58 No. 3 (1977) pp. 842-849

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On a Quantized Scalar Field in Some Bianchi-Type I Universe. II

— DeWitt's Two Vacuum States Connected Causally —

Hidekazu Nariai

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

(Received April 4, 1977)

Abstract:

This is a sequel to the previous paper on the relation between Parker-Fulling's approach and DeWitt's one to a quantized scalar field in a special Bianchi-type I universe. An attempt is made to dissolve such a complexity in our previous stipulation of DeWitt's two vacuum states connected causally that the resulting elementary solution included information at the two limiting epochs appearing in it. By virtue of the refined stipulation which is based on a suitable extension of the space-time manifold, it is shown that the revised elementary solution becomes identical with ours relying on the former approach, whose coincidence limit is a local quantity (as it should be so). Several problems related to the above procedure are also touched upon.

URL : http://ptp.ipap.jp/link?PTP/58/842/
DOI : 10.1143/PTP.58.842

References:

H. Nariai, Prog. Theor. Phys. 58 (1977), 560[PTP].
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Citing Article(s) :

Progress of Theoretical Physics Vol. 59 No. 1 (1978) pp. 296-298 :
On the Creation of Scalar Particles in an Isotropic Universe

Hidekazu Nariai and Akira Tomimatsu
Progress of Theoretical Physics Vol. 59 No. 5 (1978) pp. 1522-1531 :
Propagators for a Quantized Scalar Field in Some Isotropic Universe

Hidekazu Nariai and Takehiro Azuma
Progress of Theoretical Physics Vol. 59 No. 5 (1978) pp. 1532-1542 :
On the Creation of Scalar Particles in Some Anisotropic Universe

Hidekazu Nariai
Progress of Theoretical Physics Vol. 62 No. 3 (1979) pp. 832-834 :
On the Creation of Particles in a Robertson-Walker Universe

Hidekazu Nariai
Progress of Theoretical Physics Vol. 63 No. 1 (1980) pp. 324-326 :
Canonical Approach to the Creation of Scalar Particles in the Chitre-Hartle Model-Universe

Hidekazu Nariai
Progress of Theoretical Physics Vol. 64 No. 4 (1980) pp. 1280-1293 :
On the Definition of a Positive Frequency Part for a Quantized Scalar Field in Several Robertson-Walker Universes

Hidekazu Nariai and Takehiro Azuma
Progress of Theoretical Physics Vol. 66 No. 3 (1981) pp. 892-902 :
The Renormalized Energy-Momentum Tensor in a Robertson-Walker Universe

Takahiro Azuma