Bosonization and Duality of Massive Thirring Model : Particles and Fields

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概要

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• Starting from a reformulation of the Thirring model as a gauge theory, we consider the bosonization of the D-dimensional multiflavor massive Thirring model (D≥2) with four-fermion interaction of the current-current type. Our method leads to a novel interpolating Lagrangian written in terms of two gauge fields. In particular we pay attention to the case of a very massive fermion m≫1 in (2+1) and (1+1) dimensions. Up to the next-to-leading order of 1/m, we show that the (2+1)-dimensional massive Thirring model is mapped to the Maxwell-Chern-Simons theory and that the (1+1)-dimensional massive Thirring model is equivalent to the massive free scalar field theory. In the process of the bosonization of the Thirring model, we point out the importance of the gauge-invariant formulation. Finally we discuss a possibility of extending this method to the non-Abelian case.

• 理論物理学刊行会の論文
• 1995-11-25

著者

• Kondo K

  Chiba Univ. Chiba Jpn

• Kondo Kei-ichi

  Department Of Physics Faculty Of Science And Graduate School Of Science And Technology Chiba Univers

• 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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