A remark on quantum gravity

Details A remark on quantum gravity A remark on quantum gravity

2007-05-26

arxiv.org/abs/0705.3897v1

Annals Phys.323:49-60,2008

Physics

High Energy Physics

High Energy Physics - Theory

9p, several eps figures

Scientific paper

10.1016/j.aop.2007.06.005

We 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.

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