Tachyonic Resonance Preheating in Expanding Universe

Abstract

In this paper the tachyonic resonance preheating generated from the bosonic trilinear $\varphi {\chi }^2$ interactions in an expanding Universe is studied. In $\lambda {\varphi }^4/4$ inflationary model the trilinear interaction, in contrast to the four-legs ${\varphi }^2{\chi }^2$, breaks the conformal symmetry explicitly and the resonant source term becomes non-periodic, making the Floquet theorem inapplicable. We find that the occupation number of the produced $\chi$-particles has a non-linear exponential growth with exponent $\sim x^{3/2}$, where $x$ is the conformal time. This should be contrasted with preheating from a periodic resonant source, arising for example from the four-legs ${\varphi }^2{\chi }^2$ interaction, where the occupation number has a linear exponential growth. We present an analytic method to compute the interference term coming from phases accumulated in non-tachyonic scattering regions and show that the effects of the interference term causes ripples on $x^{3/2}$ curve, a result which is confirmed by numerical analysis. Studying the effects of back-reaction of the $\chi$-particles, we show that tachyonic resonance preheating in our model can last long enough to transfer most of the energy from the background inflation field $\varphi$, providing an efficient model for preheating in the chaotic inflation models.

This work is dedicated to the memory of Lev Kofman

References in corpus (1)

• Non-Perturbative Instabilities as a Solution of the Cosmological Moduli Problem

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