Cutoff Dependence of Self-Consistent Solutions in Unquenched QED_3 : Particles and Fields

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概要

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• In the leading order of the 1/N expansion for the vacuum polarization, we obtain the chiral-symmetry-breaking solutions of the Schwinger-Dyson equation in three-dimensional QED with N four-component Dirac fermions. Special attention is paid on the critical number of the fermion flavor N_c and the scaling law for the dynamical fermion mass. In this framework we introduce the infrared cutoff as well as the ultraviolet one. We show the relation between the vertex ansatz and the scaling law which is consistent with our numerical results that the scaling law is affected by the infrared cutoff. Especially in the case of the Pennington and Webb's vertex ansatz, the mean-field type scaling law and cutoff-dependent finite N_c are obtained in the large infrared cutoff, while the exponential type scaling and infinite N_c are given in the sufficiently small infrared cutoff. The connection with the Monte Carlo simulation is discussed.

• 理論物理学刊行会の論文
• 1992-01-25

著者

• NAKATANI Hajime

  Ishikawa Polytechnic College

• Kondo K

  Chiba Univ. Chiba Jpn

• Kondo Kei-ichi

  Department Of Physics Chiba University

• Kondo Kei-ichi

  Department Of Physic Nagoya University

• KONDO Kei-ichi

  Department of Physics, Nagoya University

• KONDO Kei-ichi

  Department of Physics, University of Tokyo : the Japan Society for the Promotion of Sciences. : Department of Physics, Nagoya University

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