Nonequilibrium dynamics: Preheating in the SU(2) Higgs model

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Abstract
The term “preheating” has been introduced recently to denote the process in which energy is transferred from a classical inflaton field into fluctuating field (particle) degrees of freedom without generating yet a real thermal ensemble. The models considered up to now include, in addition to the inflaton field, scalar or fermionic fluctuations. On the other hand, the typical ingredient of an inflationary scenario is a non-Abelian spontaneously broken gauge theory. So the formalism should also be developed to include gauge field fluctuations excited by the inflaton or Higgs field. We have chosen here, as the simplest non-Abelian example, the SU(2) Higgs model. We consider the model at temperature zero. From the technical point of view we generalize an analytical and numerical renormalized formalism developed by us recently to coupled channnel systems. We use the ’t Hooft–Feynman gauge and dimensional regularization. We present some numerical results but reserve a more exhaustive discussion of solutions within the parameter space of two couplings and the initial value of the Higgs field to a future publication.