Role of R^2-term in 2 Dimensional Quantum Gravity
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概要
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The recent exact result of the 2 dim quantum gravity is analysed in the standpoint of the ordinary renormalization group procedure. The higher-derivative term ,R^2, is added to give the kinetic term to the theory. We examine the quantum effect in the perturbative way (loop-expansion). The effective perturbation parameter is 1/(26-c_m) where c_m is the central charge of the matter theory. In the present approach the conformal (exact) result can be naturally interpreted as the fixed point of the renormalization flow. Some critical quantities such as β-functions and anomalous dimensions are derived in the leading order and compared with the known exact result.
- 素粒子論グループ 素粒子研究編集部の論文
- 1993-01-20
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- Role of R^2-term in 2 Dimensional Quantum Gravity