Lower-dimension vacuum defects in lattice Yang-Mills theory

Abstract

We overview lattice data on d=1,2,3 vacuum defects in four-dimensional gluodynamics. In all the cases defects have total volume which scales in physical units (with zero fractal dimension). In case of d=1,2 the defects are distinguished by ultraviolet divergent non-Abelian action as well. This sensitivity to the ultraviolet scale allows to derive from the continuum theory strong constraints on the properties of the defects. The constraints turn to be satisfied by the lattice data. In the SU(2) case we introduce a classification scheme of the defects which allows to (at least) visualize the defect properties in a simple and unified way. Not-yet-checked relation of the defects to the spontaneous chiral symmetry breaking is suggested by the scheme.