Abstract

The earlier work, where an explicit construction of the Wilson expansions of three-spinor operators in the framework of a gauge and scale-invariant Weyl theory of spinor fields with strict subcanonical dimension 1/2 was attempted, is substantially improved. The complete set of consistency conditions are stated which guarantee the two double Wilson expansions with different co-ordinate combinations to reproduce the same singular terms of the three-product. Special classes of explicit solutions of these conditions are constructed which differ distinctly from the free-field case. In particular and in contrast to earlier suppositions, solutions can be found for which the two limits in the Wilson expansions can be interchanged.

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