English

A nonlocal, covariant generalisation of the NJL model

High Energy Physics - Phenomenology 2011-08-17 v1 Nuclear Theory

Abstract

We solve a nonlocal generalisation of the NJL model in the Hartree approximation. This model has a separable interaction, as suggested by instanton models of the QCD vacuum. The choice of form factor in this interaction is motivated by the confining nature of the vacuum. A conserved axial current is constructed in the chiral limit of the model and the pion properties are shown to satisfy the Gell-Mann--Oakes--Renner relation. For reasonable values of the parameters the model exhibits quark confinement.

Keywords

Cite

@article{arxiv.hep-ph/9407336,
  title  = {A nonlocal, covariant generalisation of the NJL model},
  author = {R. D. Bowler and M. C. Birse},
  journal= {arXiv preprint arXiv:hep-ph/9407336},
  year   = {2011}
}

Comments

13 pages (RevTeX), MC/TH 94/17