Renormalizable acausal theories of classical gravity coupled with interacting quantum fields

dc.creatorAnselmi, Damiano
dc.creatorHalat, Milenko
dc.date2006-11-11
dc.date2007-04-02
dc.date.accessioned2026-07-07T11:23:06Z
dc.date.available2026-07-07T11:23:06Z
dc.descriptionWe prove the renormalizability of various theories of classical gravity coupled with interacting quantum fields. The models contain vertices with dimensionality greater than four, a finite number of matter operators and a finite or reduced number of independent couplings. An interesting class of models is obtained from ordinary power-counting renormalizable theories, letting the couplings depend on the scalar curvature R of spacetime. The divergences are removed without introducing higher-derivative kinetic terms in the gravitational sector. The metric tensor has a non-trivial running, even if it is not quantized. The results are proved applying a certain map that converts classical instabilities, due to higher derivatives, into classical violations of causality, whose effects become observable at sufficiently high energies. We study acausal Einstein-Yang-Mills theory with an R-dependent gauge coupling in detail. We derive all-order formulas for the beta functions of the dimensionality-six gravitational vertices induced by renormalization. Such beta functions are related to the trace-anomaly coefficients of the matter subsector.
dc.description36 pages; v2: CQG proof-corrected version
dc.identifierhttps://arxiv.org/abs/hep-th/0611131
dc.identifierhttp://arxiv.org/abs/hep-th/0611131
dc.identifierClass.Quant.Grav.24:1927-1954,2007
dc.identifierdoi:10.1088/0264-9381/24/8/003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194783
dc.subjectHigh Energy Physics - Theory
dc.titleRenormalizable acausal theories of classical gravity coupled with interacting quantum fields
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