Investigation of a new analytic running coupling in QCD
High Energy Physics - Phenomenology
2007-05-23 v1 High Energy Physics - Theory
Abstract
The mathematical properties of the new analytic running coupling (NARC) in QCD are investigated. This running coupling naturally arises under ``analytization'' of the renormalization group equation. One of the crucial points in our consideration is the relation established between the NARC and its inverse function. The latter is expressed in terms of the so-called Lambert function. This relation enables one to present explicitly the NARC in the renorminvariant form and to derive the corresponding function. The asymptotic behavior of this function is examined. The consistent estimation of the parameter is given.
Keywords
Cite
@article{arxiv.hep-ph/0102203,
title = {Investigation of a new analytic running coupling in QCD},
author = {A. V. Nesterenko},
journal= {arXiv preprint arXiv:hep-ph/0102203},
year = {2007}
}
Comments
LaTeX 2.09, 12 pages with 4 EPS figures, uses mpla1.sty. Mod. Phys. Lett. A (to be published)