The low energy expansion of the Nambu-Jona-Lasinio model with vector mesons in the anomalous sector

Abstract

The extended SU(3) Nambu and Jona-Lasinio model is considered in the context of Chiral Perturbation Theory and in the anomalous sector. Vector, axial and scalar degrees of freedom are integrated out explicitly up to fourth order in the chiral expansion for field configurations with trivial topology. It is found that the anomalous structure of QCD is only reproduced if vector and axial couplings vanish. The result is illustrated for some particular processes.