Inflationary Reheating Classes via Spectral Methods

Details Inflationary Reheating Classes via Spectral Methods Inflationary Reheating Classes via Spectral Methods

1997-09-24

arxiv.org/abs/hep-ph/9709443v3

Phys.Rev.D58:021303,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 2 ps figures, Revtex. Version to appear in Phys. Rev. D (Rapid Communication, July 15)

Scientific paper

10.1103/PhysRevD.58.021303

Inflationary reheating is almost completely controlled by the Floquet indices, $\mu_k$. Using spectral theory we demonstrate that the stability bands (where $\mu_k = 0$) of the Mathieu and Lam\'e 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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