Renormalization Group Approach to Matrix Models and Vector Models

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概要

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• The renormalization group approach is studied for large N models. The approach of Brezin and Zinn-Justin is explained and examined for matrix models. The validity of the approach is clarified by using the vector model as a similar and simpler example. An exact difference equation is obtained which relates free energies for neighboring values of N. The reparametrization freedom in field space provides infinitely many identities which reduce the infinite dimensional coupling constant space to that of finite dimensions. The effective beta functions give exact values for the fixed points and the susceptibility exponents. A detailed study of the effective renormalization group flow is presented for cases with up to two coupling constants.

• 理論物理学刊行会の論文
• 1994-01-31

著者

• 坂井 典佑

  東工大理

• SAKAI Norisuke

  Department of Mathematics, Tokyo Woman's Christian University

• 坂井 典佑

  東京工業大学理学部 素粒子論研究室

• Sakai Norisuke

  Department Of Mathematics Tokyo Woman's Christian University

• Itoi Chigak

  Department of Physics, College of Science and Technology, Nihon University

• HIGUCHI Saburo

  Department of Physics, Tokyo Institute of Technology

• Itoi Chigak

  Department Of Physics And Atomic Energy Research Institute College Of Science And Technology Nihon U

• 坂井 典佑

  高エ研

• Higuchi Saburo

  Department Of Physics Tokyo Institute Of Technology

• SUGIURA Norimasa

  Department of Physics, Kyoto University

• SAKAI Nobuyuki

  Yukawa Institute for Theoretical Physics, Kyoto University

• ITOI Chigak

  Department of Physics and Atomic Energy Research Institute College of Science and Technology, Nihon University

• HIGUCHI Saburo

  Department of Pharmacology and Biochemistry, Central Research Laboratories, Yamanouchi Pharmaceutical Co.,Ltd.

• HIGUCHI SABURO

  Department of Bacteriology, School of Medicine, Keio University

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