Definition of a positive frequency part for a quantized scalar field in several Robertson-Walker universes

Physics

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Astronomical Models, Cosmic Rays, Einstein Equations, Scalars, Field Theory (Physics), Ionization Frequencies, Ionizing Radiation, Mathematical Models

Scientific paper

The positive frequency part in the beginning of the cosmic expansion for a quantized field in the pair creation of the corresponding particles in an early universe is discussed. The definition of a positive frequency part for a canonically quantized massive or massless scalar field coupled conformally or minimally to one of several isotropic universes with flat 3 space is examined. The validity of a 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 is also discussed.

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