Zweibein Operator Formalism of Two-Dimensional Quantum Gravity : Particles and Fields
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概要
- 論文の詳細を見る
The unitary, manifestly covariant operator formalism of two-dimensional quantum gravity, presented previously, is extended to the zweibein formalism. All the two-dimensional (anti)commutation relations between primary fields are obtained in closed form. The four degrees of freedom of the zweibein are shown to be realized as q-number transformation functions of the general coordinate transformation, the local Lorentz transformation and the Weyl transformation. As the result, the explicit expression for the gravitational extension of the Pauli-Jordan D-function is found in terms of the zweibein. Bosonized operator solutions known in solvable two-dimensional models are extended to the quantum-gravity case through the above q-number transformations.
- 理論物理学刊行会の論文
- 1991-08-25
著者
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ABE Mitsuo
Research Institute for Mathematical Sciences, Kyoto University
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NAKANISHI Noboru
Research Institute for Mathematical Sciences Kyoto University
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Abe Mitsuo
Research Institute For Mathematical Sciences Kyoto University
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Nakanishi Noboru
Reseach Institure For Mathematical Sciences Kyoto University
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Noboru NAKANlSHI
Research Institute for Mathematical Sciences, Kyoto University
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