Prog. Theor. Phys. Vol. 69 No. 3 (1983) pp. 842-856
On the Creation of Particles through Their Interaction in an Expanding Universe
Research Institute for Theoretical Physics, Hiroshima University, Takehara, Hiroshima 725
(Received July 26, 1982)
Some properties of the particle-creation rate by an interaction in two expanding model-universes with a big-bang origin are investigated by using a perturbative S-matrix formalism. It is shown that, in most cases, the lowest order particle creation rate from vacuum diverge in ultra-violet and infra-red regions in the summation of phase space. This is a new type of divergences owing to the expansion of the universe. We must then conclude that the perturbative S-matrix formulation is not in general available in a curved spacetime.
DOI : 10.1143/PTP.69.842
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