Axial Anomaly Low Energy Tests and Instanton Vacuum Models

Abstract

A low energy theorem concerning a matrix element of the QCD axial anomaly between vacuum and two-photons states is tested against different instanton models. In the chiral limit the theorem is fulfilled by the Diakonov&Petrov model, whereas it is violated by single-instanton approximations. Beyond the chiral limit the theorem, and two relations established for other matrix elements of the QCD axial anomaly between vacuum and meson states, result to be violated also by the Diakonov&Petrov model.