Physics
Scientific paper
Oct 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980pthph..64.1280n&link_type=abstract
Progress of Theoretical Physics, Vol. 64, No. 4, pp. 1280-1293
Physics
7
Scientific paper
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.
Azuma Takehiro
Nariai Hidekazu
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