English

The massive Schwinger model with $SU(2)_{f}$ on the light cone

High Energy Physics - Theory 2009-10-22 v1

Abstract

The massive Schwinger model with two flavors is studied in the strong coupling region by using light-front Tamm-Dancoff approximation. The mass spectrum of the lightest particles is obtained numerically. We find that the mass of the lightest isotriplet (``pion'') behaves as m0.50m^{0.50} for the strong couplings, where mm is the fermion mass. We also find that the lightest isosinglet is not in the valence state (``eta'') which is much heavier in the strong coupling region, but can be interpreted as a bound state of two pions. It is 1.762 times heavier than pion at m=1.0×103(e/π)m=1.0\times10^{-3}(e/\sqrt\pi), while Coleman predicted that the ratio is 3\sqrt3 in the strong coupling limit. The ``pion decay constant'' is calculated to be 0.3945.

Keywords

Cite

@article{arxiv.hep-th/9309128,
  title  = {The massive Schwinger model with $SU(2)_{f}$ on the light cone},
  author = {Koji Harada and Takanori Sugihara and Masa-aki Taniguchi and Masanobu Yahiro},
  journal= {arXiv preprint arXiv:hep-th/9309128},
  year   = {2009}
}

Comments

35 pages (without figures), KYUSHU-HET-9