On the Path Integral in the Curved Space
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概要
- 論文の詳細を見る
An attempt is made to determine the coefficient of the scalar curvature appeared in the quantal Lagrangian and Hamiltonian for a system of harmonic oscillators in the curved space with non-vanishing Riemann-Christoffel curvature tensor. The c-number Hamiltonian appearing in the path integral in the phase space is derived from the quantal one of Kawai and Kamo by the correspondence rule of Weyl ordering. In connection with the consideration of point transformations in the normal coordinate system, the arbitrary scalar curvature in the Hamiltonian is determined so that the additive vacuum energy due to two-loop bubble Feynman diagrams is eliminated. The transformation function characterized by the Hamiltonian with the determined scalar curvature satisfies the equation obtained by Feynman's theory due to Pauli and DeWitt, which is based on Van Vleck's work.
- 理論物理学刊行会の論文
- 1977-12-25
著者
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KIMURA Toshiei
Research Institute for Theoretical Physics, Hiroshima University
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Kimura Toshiei
Research Institute For Theoretical Physics Hiroshima University
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KIMURA Tetsushi
Atomic Energy Research Institute College of Science and Technology, Nihon University
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