The Effectiveness of the Local Potential Approximation in the Wegner-Houghton Renormalization Group

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概要

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• The non-perturbative Wegner-Houghton renormalization group is analyzed by the local potential approximation in O(N) scalar theories in d-dimensions (3≦d≦4). The leading critical exponents ν are calculated in order to investigate the effectiveness of the local potential approximation by comparing them with other non-perturbative methods. We show analytically that the local potential approximation gives the exact exponents up to O(∈) in ∈-expansion and the leading in 1/N-expansion.We claim that this approximation offers fairly accurate results in the whole range of the parameter space of N and d. It is a gerat advantage of our method that no diverging expansions appear in the procedure.

• 理論物理学刊行会の論文
• 1996-02-25

著者

• TERAO Haruhiko

  Institute for Theoretical Physics, Kanazawa University

• MORIKAWA Keiichi

  Institute for Theoretical Physics, Kanazawa University

• AOKI Ken-Ichi

  Department of Physics, Kanazawa University

• MORIKAWA Keiichi

  Department of Physics, Kanazawa University

• SOUMA Wataru

  Department of Physics, Kanazawa University

• SUMI Jun-Ichi

  Department of Physics, Kanazawa University

• TERAO Haruhiko

  Department of Physics, Kanazawa University

• AOKI Ken-Ichi

  Research Institute for Fundamental Physics, Kyoto University

• Souma W

  Kyoto Univ. Kyoto Jpn

• Souma Wataru

  Department Of Physics Faculty Of Integrated Human Studies Kyoto University

• Sumi J

  Department Of Fundamental Sciences Faculty Of Integratede Human Studies Kyoto University

• Sumi Jun-ichi

  Department Of Physics Kanazawa University

• Aoki Ken-ichi

  Department Of Physics Kyoto University

• Terao H

  Institute For Theoretical Physics Kanazawa University

• Terao Haruhiko

  Department Of Physics Kanazawa Univeriity

• Morikawa Keiichi

  Department Of Physics Kanazawa University

• Morikawa Keiichi

  Institute For Theoretical Physics Kanazawa University

• SUMI Jun-Ichi

  Department of Fundamental Sciences, Faculty of Integratede Human Studies Kyoto University

• Aoki Ken-ichi

  Department of Chemistry, Faculty of Science, Fukuoka University

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