Restricted gauge theory

Abstract

A restricted gauge theory is obtained as a self-consistent subset of a non-Abelian gauge theory by imposing an extra magnetic symmetry to the gauge symmetry. The theory describes the dual dynamics between the color isocharges (i.e., the electric charges) and the topological charges (i.e., the magnetic charges) of the non-Abelian symmetry, and contains two potentials, the electric and the magnetic potentials, in a dual-symmetric way. The topological charge is identified as the dual of the Noether charge of the magnetic symmetry of the theory. A possible role of the restricted chromodynamics for quark confinement in quantum chromodynamics is speculated.