The small-scale structure of a string connecting a pair of static sources is explored for the weakly-coupled anisotropic SU(2) Yang-Mills theory in (2+1) dimensions. A crucial ingredient in the formulation of the string Hamiltonian is the phenomenon of color smearing of the string constituents. The quark-anti-quark potential is determined. We close with some discussion of the standard, fully Lorentz-invariant Yang-Mills theory.

Categories: hep-th cond-mat.str-el hep-lat math-ph math.MP

Composite Strings in (2+1)-Dimensional Anisotropic Weakly-Coupled Yang-Mills Theory