Unexpected Cancellations in Gravity Theories

Details Unexpected Cancellations in Gravity Theories Unexpected Cancellations in Gravity Theories

2007-07-08

arxiv.org/abs/0707.1035v2

Phys.Rev.D77:025010,2008

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, 6 figures. v2 minor corrections, removed comment on absence of rational terms in N=4 supergravity

Scientific paper

10.1103/PhysRevD.77.025010

Recent computations of scattering amplitudes show that N=8 supergravity is surprisingly well behaved in the ultraviolet and may even be ultraviolet finite in perturbation theory. The novel cancellations necessary for ultraviolet finiteness first appear at one loop in the guise of the "no-triangle hypothesis". We study one-loop amplitudes in pure Einstein gravity and point out the existence of cancellations similar to those found previously in N=8 supergravity. These cancellations go beyond those found in the one-loop effective action. Using unitarity, this suggests that generic theories of quantum gravity based on the Einstein-Hilbert action may be better behaved in the ultraviolet at higher loops than suggested by naive power counting, though without additional (supersymmetric) cancellations they diverge. We comment on future studies that should be performed to support this proposal.

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