The Gauged Thirring Model in 3+1 Dimensions : Particles and Fields

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概要

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• We propose the gauged Thirring model as a natural gauge-invariant generalization of the Thirring model with a four-fermion interaction of current-current type. In the strong gauge-coupling limit, the gauged Thirring model reduces to the recently proposed reformulation of the Thirring model as a gauge theory. We pay special attention to the effect coming from the kinetic term for the gauge boson field which was originally the auxiliary field without the kinetic term. In 3 + 1 dimensions, we find nontrivial phase structure for the gauged Thirring model, based on the Schwinger-Dyson equation for the fermion propagator and a gauge-invariant effective potential for the chiral order parameter. Within this approximation, we study the renormalization group flows (lines of constant physics) and find a signal for nontrivial continuum limit with non-vanishing renormalized coupling constant and large anomalous dimension for the gauged Thirring model in 3 + 1 dimensions, at least for a small number of flavors N_f. Finally we discuss the (perturbatively) renormalizable extension of the gauged Thirring model.

• 理論物理学刊行会の論文
• 1997-07-25

著者

• Kondo K

  Chiba Univ. Chiba Jpn

• KONDO Keiichi

  Theoretical Physics,University of Oxford

• 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

• Kondo Kei-Ichi

  Theoretical Physics,University of Oxford

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