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arXiv · hep-ph/9709443

Inflationary Reheating Classes via Spectral Methods

Bruce A. Bassett
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Abstract

Inflationary reheating is almost completely controlled by the Floquet indices, $μ_k$. Using spectral theory we demonstrate that the stability bands (where $μ_k = 0$) of the Mathieu and Lamé equations are destroyed even in Minkowski spacetime, leaving a fractal Cantor set or a measure zero set of stable modes in the cases where the inflaton evolves in an almost-periodic or stochastic manner respectively. These two types of potential model the expected multi-field and quantum backreaction effects during reheating.

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Bruce A. Bassett. 1998-06-01. Inflationary Reheating Classes via Spectral Methods. https://doi.org/10.1103/physrevd.58.021303

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