A Diffeomorphism-Invariant Cut-Off Regularization of the Determinant of a Scalar Particle in a Euclidean Gravitational Field

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dc.creatorFederbush, Paul
dc.date1997-06-27
dc.date.accessioned2026-07-07T04:23:24Z
dc.date.available2026-07-07T04:23:24Z
dc.descriptionContinuing the thrust of our recent work, but with an important new idea, we find a cut-off regularization of the determinant of a scalar particle in a classical Euclidean gravitational field. The field is assumed asymptotically flat, and the regularization is diffeomorphism-invariant under coordinate changes that are the identity at infinity. The scalar field is expanded in term of variables that depend on the gravitational field, with wavelet localization of each variable. A renormalization group structure is thus automatically present. A similar construction is carried out for the determinant of a scalar field in a background Yang-Mills field.
dc.description15 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/9706205
dc.identifierhttp://arxiv.org/abs/hep-th/9706205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/55018
dc.subjectHigh Energy Physics - Theory
dc.titleA Diffeomorphism-Invariant Cut-Off Regularization of the Determinant of a Scalar Particle in a Euclidean Gravitational Field
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