Prog. Theor. Phys. Vol. 60 No. 4 (1978) pp. 1190-1203

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Indefinite-Metric Quantum Field Theory of General Relativity. II

— Commutation Relations —

Noboru Nakanishi

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606

(Received May 10, 1978)

Abstract:

The canonical commutation relations are analyzed in detail in the manifestly covariant quantum field theory of general relativity proposed previously. It is explicitly proved that the BRS charge is indeed the generator of the BRS transformation both in the Landau gauge and in the non-Landau one.
The equivalence between the field equations and the Heisenberg equations is confirmed.

URL : http://ptp.ipap.jp/link?PTP/60/1190/
DOI : 10.1143/PTP.60.1190

References:

For recent reviews, see Quantum Gravity, edited by C. J. Isham, R. Penrose and D. W. Sciama (Oxford University Press, London, 1975).
N. Nakanishi, Prog. Theor. Phys. 59 (1978), 972[PTP].
T. Kugo and I. Ojima, preprint (Max-Planck-Institut, MPI-PAE/PTh 5/78).
N. Nakanishi, Prog. Theor. Phys. 60 (1978), 284[PTP].
K. Nishijima and M. Okawa, Prog. Theor. Phys. 60 (1978), 272[PTP].
R. Delbourgo and M. R. Medrano, Nucl. Phys. B 110 (1976), 476.
K. S. Stelle, Phys. Rev. D 16 (1977), 953[APS].
N. Nakanishi, Prog. Theor. Phys. 59 (1978), 2175[PTP].

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