Confinement versus asymptotic freedom
Abstract
I put forward the low-energy confining asymptote of the solution (valid for large macroscopic contours C of the size ) to the large N Loop equation in the D=4 U(N) Yang-Mills theory with the asymptotic freedom in the ultraviolet domain. Adapting the multiscale decomposition characteristic of the Wilsonean renormgroup, the proposed Ansatz for the loop-average is composed in order to sew, along the lines of the bootstrap approach, the large N weak-coupling series for high-momentum modes with the limit of the recently suggested stringy representation of the 1/N strong-coupling expansion Dub4 applied to low-momentum excitations. The resulting low-energy stringy theory can be described through such superrenormalizable deformation of the noncritical Liouville string that, being devoid of ultraviolet divergences, does not possess propagating degrees of freedom at short-distance scales , where is the physical string tension.
Cite
@article{arxiv.hep-th/0203059,
title = {Confinement versus asymptotic freedom},
author = {Andrey Yu. Dubin},
journal= {arXiv preprint arXiv:hep-th/0203059},
year = {2016}
}
Comments
13 pages