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

TL;DR

This paper investigates the potential dual variables in SU(2) gluodynamics, focusing on lattice simulation evidence that suggests two-dimensional vortices or branes as fundamental excitations, characterized by their scaling and magnetic monopole content.

Contribution

It provides lattice simulation insights indicating that two-dimensional vortices or branes could serve as dual variables in SU(2) gluodynamics, highlighting their properties and relevance.

Findings

Branes' total area scales in physical units

Non-Abelian action on branes is ultraviolet divergent

Branes are populated with magnetic monopoles

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.