Generalized Models for Inflationary Preheating: Oscillations and Symmetries
arxiv(2024)
摘要
The paradigm of the inflationary universe provides a possible explanation for
several observed cosmological properties. In order for such solutions to be
successful, the universe must convert the energy stored in the inflaton
potential into standard model particles through a process known as reheating.
In this paper, we reconsider the reheating process for the case where the
inflaton potential respects an approximate (but spontaneously broken) conformal
symmetry during the reheating epoch. After reviewing the Effective Field Theory
of Reheating, we present solutions for the nonlinear oscillations of the
inflaton field, derive the corresponding Hill's equation for the coupled
reheating field, and determine the stability diagram for parametric resonance.
For this class of models – the simplest realization being a scalar field with
a quartic term – the expansion of the universe drives the coupled field toward
a more unstable part of parameter space, in contrast to the standard case. We
also generalize this class of models to include quadratic breaking terms in the
potential during the reheating epoch and address the process of stability in
that universality class of models.
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