Dual string from lattice Yang-Mills theory

Abstract

We review properties of lower-dimension vacuum defects observed in lattice simulations of SU(2) Yang-Mills theories. One- and two-dimensional defects are associated with ultraviolet divergent action. The action is the same divergent as in perturbation theory but the fluctuations extend over submanifolds of the whole 4d space. The action is self tuned to a divergent entropy and the 2d defects can be thought of as dual strings populated with particles. The newly emerging 3d defects are closely related to the confinement mechanism. Namely, there is a kind of holography so that information on the confinement is encoded in a 3d submanifold. We introduce an SU(2) invariant classification scheme which allows for a unified description of d=1,2,3 defects. The scheme fits known data and predicts that the 3d defects are related to chiral symmetry breaking. Relation to stochastic vacuum model is briefly discussed as well.