Critical Behavior in a System of Branched Polymers

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概要

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• Rigorous results concerning the critical behavior of the self-avoiding branched polymer system in the d-dimensional hypercubic lattice are presented. We establish the existence of a critical point and critical phenomena, and derive general critical exponent inequalities, 1/2-^^<γ-^^<3 and 1/d-^^<ν-^^<1. The latter implies that the critical phenomena in d<4 dimensions are not mean-field like. We also show that the condition S(β_c)<∞ for the "square diagram sum" implies the critical exponent equality γ=1/2. This suggests that the critical dimension of the system is eight.

• 1988-01-28

著者

• TASAKI Hal

  Department of Physics, Gakushuin University

• Hariu T.

  Yamagata University

• Tasaki Hal

  Physics Department Princeton University : The Department Of Physics University Of Tokyo

• Hara Tetsuya

  Research Institute For Fundamental Physics Kyoto University

• Tasaki Hal

  Physics Department Princeton University

• HARA Takashi

  Institute of Physics, College of Arts and Sciences University of Tokyo

• Hara Takashi

  Institute Of Physics College Of Arts And Science University Of Tokyo : Courant Institute Of Mathemat

• Hara Takashi

  Institute Of Physics College Of Arts And Sciences University Of Tokyo : Courant Institute Of Mathema

• HARA Takashi

  Institute of Physics, College of Arts and Science University of Tokyo : Courant Institute of Mathematical Sciences, New York University

• HARA Takashi

  Institute of Physics, College of Arts and Sciences University of Tokyo : Courant Institute of Mathematical Sciences, New York University

• HARA Tetsuya

  Department of Physics, Kyoto University

• TASAKI Hal

  Physics Department, Princeton University : the Department of Physics, University of Tokyo

• Hara Tetsuya

  Research Center for Nuclear Physics, Osaka. University

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