Prog. Theor. Phys. Vol. 60 No. 6 (1978) pp. 1890-1899

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Indefinite-Metric Quantum Field Theory of General Relativity. III

— Poincaré Generators —

Noboru Nakanishi

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606

(Received July 25, 1978)

Abstract:

In the indefinite-metric quantum field theory of general relativity proposed previously, the explicit expressions for the Poincaré generators are derived on the basis of the canonical energy-momentum tensor and the canonical angular-momentum tensor. It is proved that the Poincaré generators have the right commutation relations with field operators, form the Poincaré algebra and are BRS-invariant.
Some speculation is made on what happens if space-time is not asymptotically flat.

URL : http://ptp.ipap.jp/link?PTP/60/1890/
DOI : 10.1143/PTP.60.1890

References:

N. Nakanishi, Prog. Theor. Phys. 59 (1978), 972[PTP].
N. Nakanishi, Prog. Theor. Phys. 59 (1978), 2175[PTP].
N. Nakanishi, Prog. Theor. Phys. 60 (1978), 1190[PTP].
N. Nakanishi, preprint RIMS-254 (Kyoto, 1978).
N. Nakanishi, Prog. Theor. Phys. 60 (1978), 284[PTP].

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