Abstract

The aim of this paper is to give an exposition of the combinatorial part of the proof of the generalized operator expansion at short distances in the minimal subtraction scheme based on the use of the gluing method and the counterterm technique to the case of Lagrangians and currents without normal ordering. Our approach is not based directly on expression of the renormalization procedure in terms of the action of a subtracting operator. Instead of this, we use specific features of dimensional regularization and one of the most characteristic properties of the R operation - the equivalence of this operation to the introduction of local counterterms in the Lagrangian.

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