TL;DR
This paper develops a convergent series representation for Quantum Chromodynamics (QCD) in Euclidean space by bosonizing the theory into a five-dimensional bosonic vector field, avoiding divergences.
Contribution
It introduces a novel convergent series construction for QCD using bosonization, extending methods from scalar field theories to gauge fields.
Findings
Constructed a divergence-free series for QCD in Euclidean space.
Applied bosonization to rewrite QCD as a five-dimensional bosonic vector field theory.
Generalized scalar field techniques to non-Abelian gauge theories.
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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Taxonomy
TopicsParticle physics theoretical and experimental studies · Cosmology and Gravitation Theories · Black Holes and Theoretical Physics