On the notion of potential in quantum gravity

dc.creatorKazakov, Kirill A.
dc.date2000-09-27
dc.date.accessioned2026-07-07T11:31:50Z
dc.date.available2026-07-07T11:31:50Z
dc.descriptionThe problem of consistent definition of the quantum corrected gravitational field is considered in the framework of the $S$-matrix method. Gauge dependence of the one-particle-reducible part of the two-scalar-particle scattering amplitude, with the help of which the potential is usually defined, is investigated at the one-loop approximation. The $1/r^2$-terms in the potential, which are of zero order in the Planck constant $\hbar,$ are shown to be independent of the gauge parameter weighting the gauge condition in the action. However, the $1/r^3$-terms, proportional to $\hbar,$ describing the first proper quantum correction, are proved to be gauge-dependent. With the help of the Slavnov identities, their dependence on the weighting parameter is calculated explicitly. The reason the gauge dependence originates from is briefly discussed.
dc.descriptionLaTex 2.09, 16 pages, 5 ps figures
dc.identifierhttps://arxiv.org/abs/hep-th/0009220
dc.identifierhttp://arxiv.org/abs/hep-th/0009220
dc.identifierPhys.Rev.D63:044004,2001
dc.identifierdoi:10.1103/PhysRevD.63.044004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197400
dc.subjectHigh Energy Physics - Theory
dc.titleOn the notion of potential in quantum gravity
dc.typetext

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