A remark on quantum gravity
Journal Article
·
· Annals of Physics (New York)
- IHES, 35 route de Chartres, 91440 Bures sur Yvette (France)
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.
- OSTI ID:
- 21077674
- Journal Information:
- Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 1 Vol. 323; ISSN 0003-4916; ISSN APNYA6
- Country of Publication:
- United States
- Language:
- English
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