Renormalization Group in 2+ε Dimensions and ε→2 : A Simple Model Analysis
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概要
- 論文の詳細を見る
Using a simple solvabale model, i.e., the Higgs- Yukawa system with an infinite number of flavors, we explicitly demonstrate how a dimensional continuation of the βfunction in four dimensions. The MS scheme fails to reproduce the correct behavior of the βfunction in four dimensions. The mapping between coupling constants in the two dimensional MS scheme and a conventional scheme in the cutoff regularization, in which the dimensional continuation of the β function is smooth, becomes singular when the dimension of spaceteme approaches four. The existence of a non-trivial fixed point in 2+εzdimensions continued to four dimensions (ε→2) in the two dimensional MS scheme is spurious and asymptotic safety cannot be imposed on this model in four dimensions.
- 理論物理学刊行会の論文
- 1996-05-25
著者
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Suzuki Hiroshi
Department of Engineering and Applied Science, Faculty of Science and Technology, Sophia University
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鈴木 博
理化学研究所仁科加速器研究センター川合理論物理学研究室
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NAGAO Nobuaki
Department of Physics, Ibaraki University
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Suzuki H
Meidensha Corp. Tokyo Jpn
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Suzuki Hisanori
Solid State Division Hamamatsu Photonics K.k.
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Suzuki H
Yamanashi University
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Nagao N
Department Of Physics Ibaraki University
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Suzuki Hiroshi
Department Of Allergy And Immunology National Research Institute For Child Health & Development
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