Multiflavor Massive Schwinger Model With Non-Abelian Bosonization

TL;DR

This paper revisits the multiflavor massive Schwinger model using non-Abelian Bosonization, comparing three approximation methods for the low-lying spectrum and proposing a new effective Lagrangian for easier scattering amplitude calculations.

Contribution

It introduces a novel effective low-energy Lagrangian and compares multiple approximation techniques for the spectrum in the multiflavor massive Schwinger model.

Findings

Different approximation methods yield consistent low-energy spectra.

The new effective Lagrangian simplifies scattering amplitude calculations.

The approach respects the Mermin-Wagner theorem in the mass formula.

Abstract

We revisit the treatment of the multiflavor massive Schwinger model by non-Abelian Bosonization. We compare three different approximations to the low-lying spectrum: i) reading it off from the bosonized Lagrangian (neglecting interactions), ii) semi-classical quantization of the static soliton, iii) approximate semi-classical quantization of the ``breather'' solitons. A number of new points are made in this process. We also suggest a different ``effective low-energy Lagrangian'' for the theory which permits easy calculation of the low-energy scattering amplitudes. It correlates an exact mass formula of the system with the requirement of the Mermin-Wagner theorem.