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

V. I. Zakharov
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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.

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V. I. Zakharov. 2003-09-26. Hints on dual variables from the lattice SU(2) gluodynamics. https://arxiv.org/abs/hep-ph/0309301

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