A remark on quantum gravity

doi:10.1016/j.aop.2007.06.005

2008-01-01

PRE

Dirk Kreimer *

DOI：10.1016/j.aop.2007.06.005

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摘要

En 中文

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. (C) 2007 Elsevier Inc. All rights reserved.

Keyword:

gravity

renormalization

Dyson-Schwinger equations

Hopf algebra

Hochschild cohomology

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期刊

Annals of Physics

IF:

论文数:

5.5K

被引数:

1.8W

机构

Universite Paris Saclay

学者数:

7.3W

论文数: 5.3W

被引数: 540

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