Non-perturbative match of ultraviolet renormalon

Details Non-perturbative match of ultraviolet renormalon Non-perturbative match of ultraviolet renormalon

2003-09-16

arxiv.org/abs/hep-ph/0309178v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages

Scientific paper

The paper is motivated by observation of a kind of branes in the vacuum state of the lattice SU(2) gluodynamics. The branes represent two-dimensional vortices whose total area scales in physical units while the non-Abelian action diverges in the ultraviolet. We consider the question whether effects of the branes can be accommodated into the continuum theory. We demonstrate that at least in case of the gluon condensate (plaquette action) and of the heavy quark potential the contribution of the branes corresponds to the ultraviolet renormalon. Thus, the vortices might represent a non-perturbative match of the ultraviolet renormalon. Such an identification constrains, in turn, properties of the branes.

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