The Triviality of Scalar Field Theories from the Viewpoint of Statistical Mechanics : Particles and Fields
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概要
- 論文の詳細を見る
The triviality or non-triviality of the continuum limit of scalar field theories is studied based on the behavior of the dimensionless renormalized coupling constant. In d>4 dimensions, the triviality of the continuum theory constructed as the scaling limit of lattice scalar theories can be understood as the violation of the hyperscaling relations. From this point of view, we derive a number of critical exponent inequlities. As an immediate consequence of them, the renormalized 6-point coupling constant together with the 4-point one can be shown to vanish in d>44 dimensions.
- 理論物理学刊行会の論文
- 1987-02-25
著者
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KONDO Kei-ichi
Department of Urology and Molecular Genetics, Yokohama City University Graduate School of Medicine
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Kondo K
Chiba Univ. Chiba Jpn
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Kondo K
Chiba Univ. Chiba
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Kondo Kei-ichi
Department Of Physic Nagoya University
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KONDO Kei-ichi
Department of Physic, Nagoya University
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KONDO Kei-ichi
Department of Physics, Nagoya University
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KONDO Kei-ichi
Department of Physics, University of Tokyo : the Japan Society for the Promotion of Sciences. : Department of Physics, Nagoya University
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