A Nonlocal, covariant generalization of the NJL model

Jul 25, 1994
13 pages
Published in:
  • Nucl.Phys.A 582 (1995) 655-664
e-Print:
Report number:
  • M-C-TH-94-17

Citations per year

199520032011201920250246810
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.
  • Jona-Lasinio-Nambu model
  • field theory: nonlocal
  • dynamical symmetry breaking
  • quark: condensation
  • quark: confinement
  • mass spectrum
  • Bethe-Salpeter equation: solution
  • renormalization
  • pi: decay constant
  • decay constant: pi