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Prog. Theor. Phys. Vol. 59 No. 3 (1978) pp. 972-985

[ Full Text PDF : FREE ACCESS (920K) ]

Indefinite-Metric Quantum Field Theory of General Relativity

Noboru Nakanishi

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606

(Received November 5, 1977)

Abstract:

Quantum field theory of Einstein's general relativity is formulated in the indefinite-metric Hilbert space in such a way that asymptotic fields are manifestly Lorentz covariant and the physical S-matrix is unitary.
The general coordinate transformation is transcribed into a q-number transformation, called the BRS transformation. Its abstract definition is presented on the basis of the BRS transformation for the Yang-Mills theory. The BRS transformation for general relativity is then explicitly constructed. The gauge-fixing Lagrangian density and the Faddeev-Popov one are introduced in such a way that their sum behaves like a scalar density under the BRS transformation. One can then proceed in the same way as in the Kugo-Ojima formalism of the Yang-Mills theory to establish the unitarity of the physical S-matrix.


URL : http://ptp.ipap.jp/link?PTP/59/972/
DOI : 10.1143/PTP.59.972

[ Full Text PDF : FREE ACCESS (920K) ] Citation:

References:

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