A remark on quantum gravity

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dc.creatorKreimer, Dirk
dc.date2007-05-26
dc.date.accessioned2026-07-07T13:04:23Z
dc.date.available2026-07-07T13:04:23Z
dc.descriptionWe discuss the structure of Dyson--Schwinger equations in quantum gravity and conclude in particular that all relevant skeletons are of first order in the loop number. There is an accompanying sub Hopf algebra on gravity amplitudes equivalent to identities between n-graviton scattering amplitudes which generalize the Slavnov Taylor identities. These identities map the infinite number of charges and finite numbers of skeletons in gravity to an infinite number of skeletons and a finite number of charges needing renormalization. Our analysis suggests that gravity, regarded as a probability conserving but perturbatively non-renormalizable theory, is renormalizable after all, thanks to the structure of its Dyson--Schwinger equations.
dc.description9p, several eps figures
dc.identifierhttps://arxiv.org/abs/0705.3897
dc.identifierhttp://arxiv.org/abs/0705.3897
dc.identifierAnnals Phys.323:49-60,2008
dc.identifierdoi:10.1016/j.aop.2007.06.005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227147
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.titleA remark on quantum gravity
dc.typetext

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