Progress of Theoretical Physics
Vol. 83 No. 1 (1990) pp. 151-160
URL : http://ptp.ipap.jp/link?PTP/83/151/
DOI : 10.1143/PTP.83.151

Interchanging the Roles of Spacetime and Faddeev-Popov Ghost in Quantum Einstein Gravity

Noboru Nakanishi

(Received September 13, 1989)

In the manifestly covariant canonical operator formalism of quantum gravity, democracy between spacetime and quantum fields (B-field, FP ghost and FP anti-ghost) is realized at the level of the superalgebra, but broken by the fact that every quantum field is a function of spacetime only. What happens if every quantum fields is a function of the FP ghost? it is shown that transformation properties of fields and field equations can be nicely formulated, but a trouble arises in the canonical quantization.

References:

1. N. Nakanishi, Prog. Theor. Phys. 59 (1978), 972[IPAP]; ibid. 60 (1978), 1190[IPAP]; ibid. 60 (1978), 1890[IPAP]. For further references, see Ref. 2) or 3).
2. N. Nakanishi, Publications RIMS (Kyoto) 19 (1983), 1095.
3. N. Nakanishi and I. Ojima, Covariant Operator Formalism of Gauge Theories and Quantum Gravity (World Scientific, Singapore), to be published.
4. N. Nakanishi, Prog. Theor. Phys. 63 (1980), 2078[IPAP]; ibid. 64 (1980), 639[IPAP]. See also Refs. 2) and 3).
5. See e.g., N. Nakanishi and K. Yamawaki, Nucl. Phys. B122 (1977), 15[Elsevier].
6. P. A. M. Dirac, Lectures on Quantum Mechanics (Belfer Graduate School of Science, Yeshiva University, New York, 1964).

1. Progress of Theoretical Physics Vol. 83 No. 5 (1990) pp. 1054-1063 :

   Interchanging the Roles of Spacetime and Faddeev-Popov Ghost in Quantum Einstein Gravity. II

   Noboru Nakanishi

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