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Parametric resonance in quantum field theory

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arxiv hep-ph/0208070 v2 pith:K3TNTHFE submitted 2002-08-07 hep-ph astro-phcond-mathep-lathep-th

classification hep-phastro-phcond-mathep-lathep-th
keywords amplificationtheorycalculationcompletefieldparametricquantumrange
verification ladder T0 review T1 audit T2 compute T3 formal

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We present the first study of parametric resonance in quantum field theory from a complete next-to-leading order calculation in a 1/N-expansion of the 2PI effective action, which includes scattering and memory effects. We present a complete numerical solution for an O(N)-symmetric scalar theory and provide an approximate analytic description of the nonlinear dynamics in the entire amplification range. We find that the classical resonant amplification at early times is followed by a collective amplification regime with explosive particle production in a broad momentum range, which is not accessible in a leading-order calculation.

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    Kinetic equilibration of particles produced by broad resonance preheating after inflation is almost instantaneous on the Hubble time, with an e-fold duration of about 4.4 for benchmark parameters.

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