Existence and Stability of Non-Trivial Scalar Field Configurations in Orbifolded Extra Dimensions

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dc.creatorToharia, Manuel
dc.creatorTrodden, Mark
dc.date2007-08-29
dc.date2007-09-25
dc.date.accessioned2026-07-07T11:18:57Z
dc.date.available2026-07-07T11:18:57Z
dc.descriptionWe consider the existence and stability of static configurations of a scalar field in a five dimensional spacetime in which the extra spatial dimension is compactified on an $S^1/Z_2$ orbifold. For a wide class of potentials with multiple minima there exist a finite number of such configurations, with total number depending on the size of the orbifold interval. However, a Sturm-Liouville stability analysis demonstrates that all such configurations with nodes in the interval are unstable. Nodeless static solutions, of which there may be more than one for a given potential, are far more interesting, and we present and prove a powerful general criterion that allows a simple determination of which of these nodeless solutions are stable. We demonstrate our general results by specializing to a number of specific examples, one of which may be analyzed entirely analytically.
dc.description23 pages, 7 figures, references added, factor of two corrected in kink energy definition, submitted to PRD
dc.identifierhttps://arxiv.org/abs/0708.4008
dc.identifierhttp://arxiv.org/abs/0708.4008
dc.identifierPhys.Rev.D77:025029,2008
dc.identifierdoi:10.1103/PhysRevD.77.025029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193524
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleExistence and Stability of Non-Trivial Scalar Field Configurations in Orbifolded Extra Dimensions
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