Field-Current Identities, Broken Symmetries, Current-Mixing Model, and the Algebra of Gauge Fields

Abstract

It is shown in general that the algebra of the massive gauge fields can recover the current-algebra relations only for the current-mixing model, and how the possible modifications of the spectral-function sum rules can be made within the framework of the gauge-field theory. It is also shown that the Oakes-Sakurai generalization of the first sum rule is a natural consequence of the current-mixing model.