Pair creation by a photon and the time-reversed process in a Robertson-Walker universe with time-symmetric expansion

Physics – Nuclear Physics

Scientific paper

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Scientific paper

We investigate pair creation by a photon and the time-reversed process in a spatially flat Robertson-Walker universe. The time-dependent external gravitational field breaks time translation invariance and thus energy conservation. So the otherwise forbidden processes are expected to occur even as first-order processes of quantum electrodynamics.
We evaluate the total decay probabilities for electron-positron pairs which are non-relativistic at Campton time and soft photons in a time-symmetrically expanding radiation-dominated Friedman universe. As a characteristic trait there appears an infrared divergence. Special attention is drawn to CPT non-invariance as a consequence of time evolution of the states. As is to be expected it does not occur in a totally time-symmetric situation.

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