Particle Production in Cosmology and Imaginary Time Method

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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24 pages, latex; to appear in the Michael Marinov Memorial Volume, "Multiple facets of quantization and supersymmetry", edited

Scientific paper

After brief personal recollections of the author's long-time friendship with Misha Marinov the problem of particle production by classical time- varying scalar field is discussed. In the quasiclassical limit the calculations are done by imaginary time method developed, in particular, in Marinov's works. The method permits to obtain simple analytical expressions which well agree with the later found numerical solutions. The results are compared with perturbative calculations and it is argued that perturbation theory gives an upper limit for the rate of production.

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