Functional determinants for radial operators

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dc.creatorDunne, Gerald V.
dc.creatorKirsten, Klaus
dc.date2006-07-11
dc.date.accessioned2026-07-07T11:06:50Z
dc.date.available2026-07-07T11:06:50Z
dc.descriptionWe derive simple new expressions, in various dimensions, for the functional determinant of a radially separable partial differential operator, thereby generalizing the one-dimensional result of Gel'fand and Yaglom to higher dimensions. We use the zeta function formalism, and the results agree with what one would obtain using the angular momentum cutoff method based on radial WKB. The final expression is numerically equal to an alternative expression derived in a Feynman diagrammatic approach, but is considerably simpler.
dc.description21 pages, uses axodraw.sty
dc.identifierhttps://arxiv.org/abs/hep-th/0607066
dc.identifierhttp://arxiv.org/abs/hep-th/0607066
dc.identifierJ.Phys.A39:11915-11928,2006
dc.identifierdoi:10.1088/0305-4470/39/38/017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189652
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectMathematical Physics
dc.titleFunctional determinants for radial operators
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