Convergent series for QCD

Abstract

We present the construction of the convergent series for Quantum Chromodynamics in the Euclidean space. Applying the bosonization, we rewrite QCD as the five-dimensional bosonic vector field theory. Then, generalizing earlier results for the scalar field theories, we construct the desired convergent series, free from the infrared and ultraviolet divergences. As in the case of scalar fields the dimensional regularization is assumed to be valid.

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