ANOMALOUS EFFECTIVE LAGRANGIANS AND VECTOR RESONANCE MODELS

Chiral lagrangians including vector resonances have been shown to satu rate the finite part of some of the counterterms needed to regularize ordinary one-loop effective lagrangians of pseudoscalar interactions w ith external currents. The equivalence between different models has be en discussed in the ordinary case. In this paper we extend the analysi s to the anomalous sector of chiral lagrangians by comparing the conve ntional vector model, the ''hidden gauge symmetry'' model, where vecto rs are gauge bosons of a spontaneously broken gauge symmetry, and the model where they are introduced through a tensor field. We find the eq uivalence works between the last two and that it can be recovered for the first only by including at least scalar resonances in the model. W e modify the original formulations of these models by adding a ''minim al coupling'' hypothesis which reduces the number of couplings while p reserving good agreement with experimental data. Within our scheme, in the absence of chiral breakings and of external axial currents, the a nomalous lagrangian can be written in terms of a single known paramete r and the saturation hypothesis can be seen to work in the photon-pseu doscalar sector.