THE MOMENTUM-SPACE BOSONIZATION OF THE NAMBU-JONA-LASINIO MODEL WITH VECTOR AND AXIAL-VECTOR MESONS

The momentum-space bosonization method is extended to the case of a Na mbu-Jona-Lasinio type model with vector and axial-vector mesons. The m ethod presented gives the possibility of deriving any meson vertex fun ction to all orders in momenta and to the leading order in 1/N(c). Two -point functions, which describe one-particle transitions to the hadro nic vacuum, and meson self-energies are considered. We find new relati ons which generalize the well-known KSFR relation and both the first a nd the second Weinberg sum rules. These result from a consistent treat ment of higher order terms in the momentum expansion.