The Lame equation in parametric resonance after inflation

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 afte...

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Autores: Finkel Morgenstern, Federico, González López, Artemio, López Maroto, Antonio, Rodríguez González, Miguel Ángel
Tipo de recurso: artículo
Fecha de publicación:2000
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/59329
Acceso en línea:https://hdl.handle.net/20.500.14352/59329
Access Level:acceso abierto
Palabra clave:53
Dynamical supersymmetry breaking
Física (Física)
22 Física
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spelling The Lame equation in parametric resonance after inflationFinkel Morgenstern, FedericoGonzález López, ArtemioLópez Maroto, AntonioRodríguez González, Miguel Ángel53Dynamical supersymmetry breakingFísica (Física)22 FísicaWe 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.American Physical SocietyUniversidad Complutense de Madrid20002000-10-1720002000-10-17journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/59329reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/593292026-06-02T12:44:21Z
dc.title.none.fl_str_mv The Lame equation in parametric resonance after inflation
title The Lame equation in parametric resonance after inflation
spellingShingle The Lame equation in parametric resonance after inflation
Finkel Morgenstern, Federico
53
Dynamical supersymmetry breaking
Física (Física)
22 Física
title_short The Lame equation in parametric resonance after inflation
title_full The Lame equation in parametric resonance after inflation
title_fullStr The Lame equation in parametric resonance after inflation
title_full_unstemmed The Lame equation in parametric resonance after inflation
title_sort The Lame equation in parametric resonance after inflation
dc.creator.none.fl_str_mv Finkel Morgenstern, Federico
González López, Artemio
López Maroto, Antonio
Rodríguez González, Miguel Ángel
author Finkel Morgenstern, Federico
author_facet Finkel Morgenstern, Federico
González López, Artemio
López Maroto, Antonio
Rodríguez González, Miguel Ángel
author_role author
author2 González López, Artemio
López Maroto, Antonio
Rodríguez González, Miguel Ángel
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 53
Dynamical supersymmetry breaking
Física (Física)
22 Física
topic 53
Dynamical supersymmetry breaking
Física (Física)
22 Física
description 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.
publishDate 2000
dc.date.none.fl_str_mv 2000
2000-10-17
2000
2000-10-17
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/59329
url https://hdl.handle.net/20.500.14352/59329
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869417159550042112
score 15.300724

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