Prog. Theor. Phys. Vol. 87 No. 3 (1992) pp. 757-769

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Wightman Functions in Covariant Operator Formalism of Two-Dimensional Quantum Gravity. III

— New Definition —

Mitsuo Abe and Noboru Nakanishi

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-01

(Received November 15, 1991)

Abstract:

In the covariant operator formalism of two-dimensional quantum gravity, the definition of Wightman functions is modified in such a way that the ones involving products of fields at the same spacetime points reproduce those of the conventional quantum field theory when gravity is switched off. The exact expressions for Wightman functions are obtained, and consistency with field equations is discussed.

URL : http://ptp.ipap.jp/link?PTP/87/757/
DOI : 10.1143/PTP.87.757

References:

For a review, see N. Nakanishi and I. Ojima, Covariant Operator Formalism of Gauge Theories and Quantum Gravity (World Scientific, Singapore, 1990), chap. 5.
K. Sato, Preprint EPHOU87, APR003 (Hokkaido).
M. Abe and N. Nakanishi, Int. J. Mod. Phys. A6 (1991), 3955.
M. Abe and N. Nakanishi, Prog. Theor. Phys. 86 (1991), 517[PTP].
M. Abe and N. Nakanishi, Prog. Theor. Phys. 86 (1991), 1187[PTP].
M. Abe and N. Nakanishi, Prog. Theor. Phys. 87 (1992), 495[PTP].
K. Sato, Preprint EPHOU-91-007 (Hokkaido).
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M. Abe and N. Nakanishi, Preprint RIMS-841.

Citing Article(s) :

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How to Solve the Covariant Operator Formalism of Gauge Theories and Quantum Gravity in the Heisenberg Picture. I

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How to Solve the Covariant Operator Formalism of Gauge Theories and Quantum Gravity in the Heisenberg Picture. IV

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New Diagrammatic Method for Quantum Field Theory in the Heisenberg Picture. I

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New Diagrammatic Method for Quantum Field Theory in the Heisenberg Picture. II

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New Diagrammatic Method for Quantum Field Theory in the Heisenberg Picture. III

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Anomaly Problem in a Simple Model Analogous to the Lightcone-Gauge Two-Dimensional Quantum Gravity

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Progress of Theoretical Physics Vol. 102 No. 6 (1999) pp. 1187-1200 :
Perturbative or Path-Integral Approach versus Operator-Formalism Approach

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Progress of Theoretical Physics Vol. 111 No. 3 (2004) pp. 301-337 :
Method for Solving Quantum Field Theory in the Heisenberg Picture

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Progress of Theoretical Physics Supplement No.110 (1992) pp. 81-95 :
Weyl Invariant Formulation of Two-Dimensional Quantum Gravity

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