Abstract

Within the framework of scalar quantum electrodynamics (QED) conformally connected with an external gravitational field, the effect of the photoproduction of an arbitrary number of charged massive particle pairs is studied for the quasi-Euclidian model of a radiation-dominated Universe. The total probability of the process is calculated, and the time period during which the given process occurs is determined. The total probability is analyzed and compared with a similar expression obtained in the context of spinor theory. The estimations demonstrate that the total probability of rigid photon decay obtained in the context of scalar theory is by an order of magnitude less than that calculated from the corresponding expression obtained in the context of spinor QED.

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