Caustics in the Grassmann Integral(Particles and Fields)

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概要

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• It is shown that a simple model of 2N-Grassmann variables with a four-body coupling involves caustics after the integral is converted to a bosonic form with the aid of an auxiliary field. In order to check the validity of the auxiliary field method (AFM), approximations in terms of 1/N near a saddle point and 1/√^3<N> near a caustic, are carried out. It turns out that even for N = 2, the smallest value of N for which a four-body interaction exists, AFM is increasingly accurate as higher order effects are taken into account.

• 理論物理学刊行会の論文
• 2003-09-25

著者

• Kashiwa T

  Department Of Physics Ehime University

• KASHIWA Taro

  Department of Physics,Kyushu University

• Sakaguchi Tomohiko

  Department Of Physics Kyushu University

• Kashiwa Taro

  Department Of Physics Ehime University

• KASHIWA Taro

  Department of Physics, Nagoya University

• KASHIWA Taro

  Department of Physics, Ehime University

• SAKAGUCHI Tomohiko

  Department of Physics, Kyushu University

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