English

Multiflavor Massive Schwinger Model With Non-Abelian Bosonization

High Energy Physics - Theory 2009-10-30 v2 High Energy Physics - Phenomenology

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.

Keywords

Cite

@article{arxiv.hep-th/9703120,
  title  = {Multiflavor Massive Schwinger Model With Non-Abelian Bosonization},
  author = {David Delphenich and Joseph Schechter},
  journal= {arXiv preprint arXiv:hep-th/9703120},
  year   = {2009}
}

Comments

To appear in Int. J. Mod. Phys. A (Footnote and reference revised from previous version)

R2 v1 2026-07-22T16:04:06.652Z