Renormalizability of Quantum Gravity near Two Dimensions

Details Renormalizability of Quantum Gravity near Two Dimensions Renormalizability of Quantum Gravity near Two Dimensions

1995-11-30

arxiv.org/abs/hep-th/9511217v1

Nucl.Phys. B467 (1996) 313-331

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, Latex file, No figures

Scientific paper

10.1016/0550-3213(96)00119-8

We study the renormalizability of quantum gravity near two dimensions. Our formalism starts with the tree action which is invariant under the volume preserving diffeomorphism. We identify the BRS invariance which originates from the full diffeomorphism invariance. We study the Ward-Takahashi identities to determine the general structure of the counter terms. We prove to all orders that the counter terms can be supplied by the coupling and the wave function renormalization of the tree action. The bare action can be constructed to be the Einstein action form which ensures the full diffeomorphism invariance.

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