Abstract
It is shown that the light-cone operator expansion of the product of two SU(3) ⊗ SU(3) currents or divergences, the requirement of maximal analyticity of the second kind, and the mathematical method of analytic continuation can be used to shed light on the validity and meaning of the Ward-Takahashi identities, of the Bjorken-Johnson-Low limit and in general of sum rules derived from current algebra either at equal time or on the light cone. In particular we give a definite content to the PCAC hypothesis in terms of the ‘dimension’ of the axial divergence and suggest some specific values for this ‘dimension’. It is also shown that the requirement of maximal analyticity of the second kind and gauge invariance impose a non-trivial condition on the Cornwall-Corrigan-Norton sum rule.
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