Hints on dual variables from the lattice SU(2) gluodynamics

Abstract

In many cases, topological excitations become fundamental variables in a dual formulation of the theory. Assuming this is true in case of SU(2) gluodynamics, we look for hints on the dual variables from the lattice simulations. Two-dimensional vortices, or branes with recently established properties seem to be most natural candidates. The total area of the branes scales in the physical units while the non-Abelian action is ultraviolet divergent. The branes are populated with magnetic monopoles, or tachyonic mode.

Comments: 12 pages. Talk at the Conference ``Confinement 2003'', RIKEN (Japan), July 21-24,(2003)