CP^<N-1> Models with a θ Term and Fixed Point Action

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概要

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• The topological charge distribution P(Q) is calculated for lattice CP^<N-1> models. In order to suppress lattice cutoff effects, we employ a fixed point (FP) action. Through transformation of P(Q), we calculate the free energy F(θ) as a function of the θ parameter. For N = 4, scaling behavior is observed for P(Q) and F(θ), as well as the correlation lengths ξ(Q). For N = 2, however, scaling behavior is not observed, as expected. For comparison, we also make a calculation for the CP^3 model with a standard action. We furthermore pay special attention to the behavior of P(Q) in order to investigate the dynamics of instantons. For this purpose, we carefully consider the behavior of γ_<eff> which is an effective power of P(Q) (〜 exp(-CQ^<γeff>)), and reflects the local behavior of P(Q) as a function of Q. We study γ_<eff> for two cases, the dilute gas approximation based on the Poisson distribution of instantons and the Debye-Huckel approximation of instanton quarks. In both cases, we find behavior similar to that observed in numerical simulations.

• 理論物理学刊行会の論文
• 2001-09-25

著者

• Burkhalter Rudolf

  Center For Computational Physics University Of Tsukuba

• YONEYAMA Hiroshi

  Department of Applied Chemistry, Faculty of Engineering, Osaka University

• Imachi M

  Department Of Physics Yamagata University

• Yoneyama H

  Department Of Physics Saga University

• IMACHI Masahiro

  Department of Physics, Kyushu University

• SHINNO Yasuhiko

  Department of Physics, Saga University

• Shinno Yasuhiko

  Department Of Physics Saga University

• Imachi Masahiro

  Department Of Physics Kyushu University

• Yoneyama Hiroshi

  Department Of Applied Chemistry Faculty Of Engineerig Osaka University

• IMACHI Masahiro

  Department of Physics, Yamagata University

• IMACHI Masahiro

  Departmnet of Physics,Kyushu University

• IMACHI Masahiro

  Department of Physics, Kyusyu University

• Burkhalter Rudolf

  Center for Computational Physics, University of Tsukuba

• Yoneyama Hiroshi

  Department of Applied Chemisrty, Faculty of Engineering, Osaka University

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