Two- and Three-point Functions in the Extended Njl Model

The two-point functions in generalized Nambu–Jona-Lasinio models are calculated to all orders in momenta and quark masses to leading order in 1/Nc. The use of Ward identities and the heat-kernel expansion allows for a large degree of regularization independence. We also show how this approach works to the same order for three-point functions on the example of the vector-pseudoscalar-pseudoscalar three-point function. The inclusion of the chiral anomaly effects at this level is shown by calculating the pseudoscalar-vector-vector three-point function to the same order. Finally we comment on how (vector-)meson-dominance comes out in the presence of explicit chiral symmetry breaking in both the anomalous and the non-anomalous sectors. March 1994 revised April 1994