Bosonized Massive N-flavor Schwinger Model

Abstract

The massive N-flavor Schwinger model is analyzed by the bosonization method. The problem is reduced to the quantum mechanics of N degrees of freedom in which the potential needs to be self-consistently determined by its ground-state wave function and spectrum with given values of the $\theta$ parameter, fermion masses, and temperature. Boson masses and fermion chiral condensates are evaluated. In the N=1 model the anomalous behavior is found at $\theta \sim \pi$ and $m/\mu \sim 0.4$. In the N=3 model an asymmetry in fermion masses $(m_1<m_2\ll m_3)$ removes the singularity at $\theta =\pi$ and T=0. The chiral condensates at $\theta =0$ are insensitive to the asymmetry in fermion masses, but are significantly sensitive at $\theta =\pi$. The resultant picture is similar to that obtained in QCD by the chiral Lagrangian method.

40 pages, LaTex2e, 9 figures

References in corpus (6)

• Massive Schwinger model within mass perturbation theory
• Chiral Symmetry Breaking on the Lattice: a Study of the Strongly Coupled Lattice Schwinger Model
• Three topics in the Schwinger model
• Gauge Theory Description of Spin Ladders
• Variational Mass Perturbation Theory for Light-Front Bound-State Equations
• Meson-meson scattering in the massive Schwinger model --- a status report

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