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Indefinite Metric Quantum Field Theory of General Relativity. 5. Vierbein Formalism

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DOI: 10.1143/PTP.62.779
OAI: oai:inspirehep.net:140341
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INSPIRE-HEP
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Abstract

The indefinite-metric quantum field theory of general relativity is extended to the coupled system of the gravitational field and a Dirac field on the basis of the vierbein formalism. The six extra degrees of freedom involved in vierbein are made unobservable by introducing an extra subsidiary condition Q_s|phys>= 0, where Q_s denotes a new BRS charge corresponding to the local Lorentz invariance. It is shown that a manifestly covariant, unitary, canonical theory can be constructed consistently on the basis of the vierbein formalism.

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