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Analytic invariant charge in QCD

Journal

INTERNATIONAL JOURNAL OF MODERN PHYSICS A
Volume 18, Issue 30, Pages 5475-5519

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217751X0301704X

Keywords

nonperturbative QCD; analytic approach; renormalization group; strong running coupling

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This paper gives an overview of recently developed model for the QCD analytic invariant charge. Its underlying idea is to bring the analyticity condition, which follows from the general principles of local Quantum Field Theory, in perturbative approach to renormalization group (RG) method. The concrete realization of the latter consists in explicit imposition of analyticity requirement on the perturbative expansion of beta function for the strong running coupling, with subsequent solution of the corresponding RG equation. In turn, this allows one to avoid the known difficulties originated in perturbative approximation of the RG functions. Ultimately, the proposed approach results in qualitatively new properties of the QCD invariant charge. The latter enables one to describe a wide range of the strong interaction processes both of perturbative and intrinsically nonperturbative nature.

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