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Some exact results in preheating from the Lamé equation

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Finkel Morgenstern, Federico and González López, Artemio and López Maroto, Antonio and Rodríguez, M.A. (2001) Some exact results in preheating from the Lamé equation. AIP conference proceedings : cosmology and particle physics, 555 . pp. 293-296. ISSN 0094-243x

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Official URL: http://dx.doi.org/10.1063/1.1363529


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Abstract

The most general inflaton potential in Minkowski spacetime for which the differential equation for the Fourier modes of the matter fields reduces to Lame's equation is shown to be of the form V(ф) = λ ф ^(4) /4 + K ф^( )2 /2 + μ/(2 ф^( 2) ) + V_(0). As an application, we study the preheating phase after inflation with K = 0 and arbitrary λ, μ > 0. For certain values of the coupling constant between the inflaton and the matter fields, we show how the instability intervals, the characteristic exponents, and the particle production can be computed in closed form.


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© 2001 American Institute of Physics. International Conference on Cosmology and Particle Physics (CAPP 2000) (2000. Verbier, Switzerland).

Uncontrolled Keywords:Inflation; Resonance
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:43083
Deposited On:11 Jul 2017 08:42
Last Modified:07 Feb 2018 18:35

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