English

A Nambu-Jona-Lasinio like model from QCD at low energies

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

Abstract

A generalization to any dimension of the fermion field transformation which allows to derive the solution of the massless Schwinger model in the path integral framework is identified. New arguments based on this transformation for a Nambu-Jona-Lasinio (NJL) like model as the low energy limit of a gauge theory in dimension greater than two are presented. Our result supports the spontaneous chiral symmetry breaking picture conjectured by Nambu many years ago and the link between QCD, NJL and chiral models.

Keywords

Cite

@article{arxiv.hep-ph/9712217,
  title  = {A Nambu-Jona-Lasinio like model from QCD at low energies},
  author = {José Luis Cortés and Jorge Gamboa and Luis Velázquez},
  journal= {arXiv preprint arXiv:hep-ph/9712217},
  year   = {2009}
}

Comments

7 pages, Latex file, no figures, revised version to appear in Phys. Lett. B