The Lame equation in parametric resonance after inflation

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dc.creatorFinkel, F.
dc.creatorGonzalez-Lopez, A.
dc.creatorMaroto, A. L.
dc.creatorRodriguez, M. A.
dc.date2000-06-12
dc.date2000-09-08
dc.date.accessioned2026-07-07T12:02:41Z
dc.date.available2026-07-07T12:02:41Z
dc.descriptionWe 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 Lamé's equation is of the form $V(ϕ)= λϕ^4/4+Kϕ^2/2+μ/(2ϕ^2)+V_0$. As an application, we study the preheating phase after inflation for the above potential with K=0 and arbitrary $λ,μ>0$. 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.
dc.description8 pages, 6 figures, typeset with RevTeX 4b4 using AMS-LaTeX. To appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/hep-ph/0006117
dc.identifierhttp://arxiv.org/abs/hep-ph/0006117
dc.identifierPhys.Rev.D62:103515,2000
dc.identifierdoi:10.1103/PhysRevD.62.103515
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207524
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleThe Lame equation in parametric resonance after inflation
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