2009
DOI: 10.1088/1475-7516/2009/04/020
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Preheating with non-standard kinetic term

Abstract: We consider reheating after inflation in theories with a non-standard kinetic term. We show that the equation that exhibits parametric resonance is the Hill-Whittaker equation, which is a particular case of the more general Hill equation. This equation is in general more unstable than the Mathieu equation, such that narrow resonance preheating may be efficient in theories with a non-canonical kinetic term.

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Cited by 40 publications
(42 citation statements)
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“…The stability/instability chart for the general Hill's equation is still poorly understood, compared to the one for the Mathieu equation, which is the simplest case of the Hill's equation (for existing studies of the Hill's equation, see Refs. [27][28][29][30][31][32][33][34][35]). As a consequence of the anharmonic oscillation of the background axion, the resonance instability which leads to the prominent emission of the GWs can be qualitatively different from the one described by the Mathieu equation.…”
Section: Introductionmentioning
confidence: 99%
“…The stability/instability chart for the general Hill's equation is still poorly understood, compared to the one for the Mathieu equation, which is the simplest case of the Hill's equation (for existing studies of the Hill's equation, see Refs. [27][28][29][30][31][32][33][34][35]). As a consequence of the anharmonic oscillation of the background axion, the resonance instability which leads to the prominent emission of the GWs can be qualitatively different from the one described by the Mathieu equation.…”
Section: Introductionmentioning
confidence: 99%
“…The search for preheating in nonminimal models began in the work of Ref. [25], where the authors showed that a canonical scalar field can enhance the effects of parametric resonance in a coupled nonminimal matter field. …”
mentioning
confidence: 99%
“…5 Derivative interactions give rise to similar particle production effects, see for instance Ref. [50].…”
Section: Heating Via Matter Interactionsmentioning
confidence: 97%