Renormalization and dimensional regularization for a scalar field with Gauss-Bonnet-type coupling to curvature

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dc.creatorPavlov, Yu. V.
dc.date2004-09-02
dc.date.accessioned2026-07-07T06:18:03Z
dc.date.available2026-07-07T06:18:03Z
dc.descriptionWe consider a scalar field with a Gauss-Bonnet-type coupling to the curvature in a curved space-time. For such a quadratic coupling to the curvature, the metric energy-momentum tensor does not contain derivatives of the metric of orders greater than two. We obtain the metric energy-momentum tensor and find the geometric structure of the first three counterterms to the vacuum averages of the energy-momentum tensor for an arbitrary background metric of an N-dimensional space-time. In a homogeneous isotropic space, we obtain the first three counterterms of the n-wave procedure, which allow calculating the renormalized values of the vacuum averages of the energy-momentum tensors in the dimensions N=4,5. Using dimensional regularization, we establish that the geometric structures of the counterterms in the $n$-wave procedure coincide with those in the effective action method.
dc.descriptionLATEX, 21 pages, no figure
dc.identifierhttps://arxiv.org/abs/gr-qc/0409009
dc.identifierhttp://arxiv.org/abs/gr-qc/0409009
dc.identifierTheor.Math.Phys. 140 (2004) 1095-1108; Teor.Mat.Fiz. 140 (2004) 241-255
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94606
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleRenormalization and dimensional regularization for a scalar field with Gauss-Bonnet-type coupling to curvature
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