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On The BRST Formulation of Diffeomorphism Invariant 4D Quantum Gravity

Ken-ji Hamada
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Abstract

In this note we give some remarks on the BRST formulation of a renormalizable and diffemorphism invariant 4D quantum gravity recently proposed by the author, which satisfies the integrability condition by Riegard, Fradkin and Tseytlin at the 2-loop level. Diffeomorphism invariance requires an addition of the Wess-Zumino action, from which the Weyl action can be induced by expanding around a vacuum expectation value of the conformal mode. This fact suggests the theory has in itself a mechanism to remove extra negative-metric states dynamically.

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Ken-ji Hamada. 2000-05-08. On The BRST Formulation of Diffeomorphism Invariant 4D Quantum Gravity. https://arxiv.org/abs/hep-th/0005063

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