Particle production in expanding universes with path integrals

Physics

Scientific paper

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Functional Analytical Methods

Scientific paper

A method is developed to calculate path integrations for a scalar
particle moving in the spatially flat Robertson-Walker spacetime with
scale factor a(t). For three cases, which are specified by a(t)=t, a(t)=
√t , and a(t)=eHt, exact path-integral calculations are
presented and particle pair productions are studied.

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