The Lame equation in parametric resonance after inflation



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Finkel Morgenstern, Federico and González López, Artemio and López Maroto, Antonio and Rodríguez González, Miguel Ángel (2000) The Lame equation in parametric resonance after inflation. Physical Review D, 62 (10). ISSN 0556-2821

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We show that 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 of the form V(phi)=lambda phi^4/4+Kphi^2/2+mu/(2 phi^2)+V_0. As an application, we study the preheating phase after inflation for the above potential with K=0 and arbitrary lambda,mu >0. For certain values of the coupling constant between the inflaton and the matter fields, we calculate the instability intervals and the characteristic exponents in closed form.

Item Type:Article
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© 2000 The American Physical Society. A.L.M. wishes to thank J. García-Bellido for useful discussions. This work was partially supported by grants DGES PB98-0821 and DGICYT AEN97-1693.

Uncontrolled Keywords:Dynamical supersymmetry breaking
Subjects:Sciences > Physics
ID Code:27325
Deposited On:13 Nov 2014 09:08
Last Modified:20 Nov 2014 09:42

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