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Particle creation by a self-coupled scalar field.

The creation of the quanta of a self-coupled scalar field due to the time dependence of the classical scalar field is investigated. In general, a time-dependent solution of the classical field equation leads, in quantum field theory, to the creation of scalar particles. This effect tends to dissipate the energy of the classical field. A formalism for calculating the rate of this particle creation is developed and applied to several model self-coupled scalar field theories. The application of the results to inflationary cosmology is discussed.