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Prog. Theor. Phys. Vol. 63 No. 2 (1980) pp. 656-667

[ Full Text PDF : FREE ACCESS (718K) ]

Indefinite-Metric Quantum Field Theory of General Relativity. VIII

— Commutators Involving bρ —

Noboru Nakanishi

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606

(Received September 18, 1979)

Abstract:

The expression for the equal-time commutator between bρ and \dotbσ, which was derived previously from the consistency requirement of the BRS transformation, is proved on the basis of canonical commutation relations and field equations. It is found that the commutators involving bρ exhibit “tensor-like” behavior quite analogously to general covariance.
The manifestly covariant quantum field theory is formulated for the coupled Einstein-Maxwell system.


URL : http://ptp.ipap.jp/link?PTP/63/656/
DOI : 10.1143/PTP.63.656

[ Full Text PDF : FREE ACCESS (718K) ] Citation:

References:

  1. N. Nakanishi, Prog. Theor. Phys. 59 (1978), 972[PTP].
  2. N. Nakanishi, Prog. Theor. Phys. 60 (1978), 1190[PTP].
  3. N. Nakanishi, Prog. Theor. Phys. 60 (1978), 1890[PTP].
  4. N. Nakanishi, Prog. Theor. Phys. 61 (1979), 1536[PTP].
  5. N. Nakanishi, Prog. Theor. Phys. 62 (1979), 779[PTP].
  6. N. Nakanishi, Prog. Theor. Phys. 62 (1979), 1101[PTP].
  7. N. Nakanishi, Prog. Theor. Phys. 62 (1979), 1385[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 63 No. 5 (1980) pp. 1823-1826 :
    Possible Resolution of the Goto-Imamura Difficulty without Introducing the Schwinger Term
    Noboru Nakanishi
  2. Progress of Theoretical Physics Vol. 63 No. 6 (1980) pp. 2078-2094 :
    Indefinite-Metric Quantum Field Theory of General Relativity. IX
    Noboru Nakanishi
  3. Progress of Theoretical Physics Vol. 64 No. 2 (1980) pp. 639-650 :
    Indefinite-Metric Quantum Field Theory of General Relativity. X
    Noboru Nakanishi
  4. Progress of Theoretical Physics Vol. 65 No. 3 (1981) pp. 1041-1051 :
    Indefinite-Metric Quantum Field Theory of General Relativity. XII
    Noboru Nakanishi and Izumi Ojima
  5. Progress of Theoretical Physics Vol. 65 No. 5 (1981) pp. 1719-1731 :
    Indefinite-Metric Quantum Field Theory of General Relativity. XIII
    Noboru Nakanishi and Kenguo Yamagishi
  6. Progress of Theoretical Physics Vol. 65 No. 5 (1981) pp. 1767-1770 :
    A Possible Mechanism of Ghost Confinement in a Renormalizable Quantum Gravity
    Shoichiro Kawasaki and Tadahiko Kimura
  7. Progress of Theoretical Physics Vol. 66 No. 5 (1981) pp. 1843-1857 :
    Indefinite-Metric Quantum Field Theory of General Relativity. XIV
    Noboru Nakanishi
  8. Progress of Theoretical Physics Vol. 66 No. 6 (1981) pp. 2085-2102 :
    Canonical Quantum Theory of Gravitational Field with Higher Derivatives
    Shoichiro Kawasaki, Tadahiko Kimura and Koichi Kitago
  9. Progress of Theoretical Physics Vol. 68 No. 3 (1982) pp. 947-959 :
    Indefinite-Metric Quantum Field Theory of General Relativity. XV
    Noboru Nakanishi
  10. Progress of Theoretical Physics Vol. 69 No. 3 (1983) pp. 1015-1030 :
    Canonical Quantum Theory of Gravitational Field with Higher Derivatives. III
    Shoichiro Kawasaki and Tadahiko Kimura
  11. Progress of Theoretical Physics Vol. 69 No. 5 (1983) pp. 1617-1630 :
    Indefinite-Metric Quantum Field Theory of General Relativity. XVI
    Noboru Nakanishi
  12. Progress of Theoretical Physics Vol. 70 No. 2 (1983) pp. 551-562 :
    Indefinite-Metric Quantum Field Theory of General Relativity. XVII
    Noboru Nakanishi
  13. Progress of Theoretical Physics Vol. 71 No. 6 (1984) pp. 1385-1396 :
    Inequivalent Canonical Quantizations in Quantum Gravity
    Noboru Nakanishi
  14. Progress of Theoretical Physics Vol. 75 No. 6 (1986) pp. 1351-1358 :
    De Donder Condition and the Gravitational Energy-Momentum Pseudotensor in General Relativity
    Noboru Nakanishi
  15. Progress of Theoretical Physics Vol. 85 No. 2 (1991) pp. 391-405 :
    How to Solve the Operator Formalism of Quantum Einstein Gravity without Using C-Number Background Metric
    Mitsuo Abe and Noboru Nakanishi

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