Local operator products in gauge theories. II

One studies the operator product expansion of two gauge invariant currents. The operators are studied that may appear in the expansion. The hadronic matrix elements of gauge variant operators that may appear in the operator product expansion are studied, and it is shown that in the physical applications contemplated so far their hadronic physical matrix elements either vanish or cannot be isolated from strong interactions. Also the gauge dependence of the Green's functions product of two (weak or e.m.) currents is studied, and it is shown that it corresponds to the gauge dependence of the additional renormalization counterterms due to weak and electromagnetic interactions