ZWEIBEIN OPERATOR-FORMALISM OF 2-DIMENSIONAL QUANTUM-GRAVITY

被引:19
作者
ABE, M
NAKANISHI, N
机构
来源
PROGRESS OF THEORETICAL PHYSICS | 1991年 / 86卷 / 02期
关键词
D O I
10.1143/PTP.86.517
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
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页码:517 / 545
页数:29
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