A nonlocal, covariant generalisation of the NJL model

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.

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

References in corpus (2)

• Nambu Jona-Lasinio Like Models and the Low Energy Effective Action of QCD
• Dynamical chiral symmetry breaking and confinement with an infrared-vanishing gluon propagator?

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