English

Baryons as Solitons in Three Dimensional Quantum Chromodynamics

High Energy Physics - Theory 2015-06-26 v1

Abstract

We show that baryons of three dimensional Quantum Chromodynamics can be understood as solitons of its effective lagrangian. In the parity preserving phase we study, these baryons are fermions for odd NcN_c and bosons for even NcN_c, never anyons. We quantize the collective variables of the solitons and there by calculate the flavor quantum numbers, magnetic moments and mass splittings of the baryon. The flavor quantum numbers are in agreement with naive quark model for the low lying states. The magnetic moments and mass splittings are smaller in the soliton model by a factor of logFπNcmπ\log {F_\pi\over N_c m_\pi}. We also show that there is a dibaryon solution that is an analogue of the deuteron. These solitons can describe defects in a quantum anti--ferromagnet.

Keywords

Cite

@article{arxiv.hep-th/9204076,
  title  = {Baryons as Solitons in Three Dimensional Quantum Chromodynamics},
  author = {G. Ferretti and S. G. Rajeev and Z. Yang},
  journal= {arXiv preprint arXiv:hep-th/9204076},
  year   = {2015}
}

Comments

22 pages + 4 figures (figures not included, postscript files available upon request)

R2 v1 2026-07-22T15:42:48.667Z