Running of Newton's constant and non integer powers of the d'Alembertian

dc.creatorNacir, D. López
dc.creatorMazzitelli, F. D.
dc.date2006-10-02
dc.date2006-12-10
dc.date.accessioned2026-07-07T11:27:50Z
dc.date.available2026-07-07T11:27:50Z
dc.descriptionThe running of Newton's constant can be taken into account by considering covariant, non local generalizations of the field equations of general relativity. These generalizations involve nonanalytic functions of the d'Alembertian, as $(-\Box)^{-α}$, with $α$ a non integer number, and $\ln[-\Box]$. In this paper we define these non local operators in terms of the usual two point function of a massive field. We analyze some of their properties, and present specific calculations in flat and Robertson Walker spacetimes.
dc.description16 pages, no figures. Introduction improved. References added. Version to appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/hep-th/0610031
dc.identifierhttp://arxiv.org/abs/hep-th/0610031
dc.identifierPhys.Rev.D75:024003,2007
dc.identifierdoi:10.1103/PhysRevD.75.024003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196259
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleRunning of Newton's constant and non integer powers of the d'Alembertian
dc.typetext

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