Is N = 8 Supergravity Ultraviolet Finite?

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dc.creatorBern, Zvi
dc.creatorDixon, Lance J.
dc.creatorRoiban, Radu
dc.date2006-11-08
dc.date.accessioned2026-07-07T10:22:20Z
dc.date.available2026-07-07T10:22:20Z
dc.descriptionConventional wisdom holds that no four-dimensional gravity field theory can be ultraviolet finite. This understanding is based mainly on power counting. Recent studies confirm that one-loop N = 8 supergravity amplitudes satisfy the so-called `no-triangle hypothesis', which states that triangle and bubble integrals cancel from these amplitudes. A consequence of this hypothesis is that for any number of external legs, at one loop N = 8 supergravity and N = 4 super-Yang-Mills have identical superficial degrees of ultraviolet behavior in D dimensions. We describe how the unitarity method allows us to promote these one-loop cancellations to higher loops, suggesting that previous power counts were too conservative. We discuss higher-loop evidence suggesting that N = 8 supergravity has the same degree of divergence as N = 4 super-Yang-Mills theory and is ultraviolet finite in four dimensions. We comment on calculations needed to reinforce this proposal, which are feasible using the unitarity method.
dc.description7 pages, 5 figures, revtex
dc.identifierhttps://arxiv.org/abs/hep-th/0611086
dc.identifierhttp://arxiv.org/abs/hep-th/0611086
dc.identifierPhys.Lett.B644:265-271,2007
dc.identifierdoi:10.1016/j.physletb.2006.11.030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/175480
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.titleIs N = 8 Supergravity Ultraviolet Finite?
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