Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-11-08
Phys.Lett.B644:265-271,2007
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, 5 figures, revtex
Scientific paper
10.1016/j.physletb.2006.11.030
Conventional 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.
Bern Zvi
Dixon Lance J.
Roiban Radu
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