Prog. Theor. Phys. Vol. 62 No. 3 (1979) pp. 779-792

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Indefinite-Metric Quantum Field Theory of General Relativity. V

— Vierbein Formalism —

Noboru Nakanishi

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606

(Received March 10, 1979)

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.

URL : http://ptp.ipap.jp/link?PTP/62/779/
DOI : 10.1143/PTP.62.779

References:

N. Nakanishi, Prog. Theor. Phys. 59 (1978), 972[PTP].
N. Nakanishi, Prog. Theor. Phys. 60 (1978), 1190[PTP].
N. Nakanishi, Prog. Theor. Phys. 60 (1978), 1890[PTP].
N. Nakanishi, Prog. Theor. Phys. 61 (1979), 1536[PTP].
See, e.g., D. R. Brill and J. A. Wheeler, Rev. Mod. Phys. 29 (1957), 465[APS].
T. Kugo and I. Ojima, Prog. Theor. Phys. 60 (1978), 1869[PTP].
See, e.g., R. Utiyama, Theory of General Relativity (Shōkabō, Tokyo, 1978), chap. 5 (in Japanese).
N. Nakanishi, Prog. Theor. Phys. 60 (1978), 284[PTP].
I. M. Singer, Commun. Math. Phys. 60 (1978), 7[CrossRef].

Citing Article(s) :

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Indefinite-Metric Quantum Field Theory of General Relativity. VI

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