Long-range behavior of dual-restricted QCD vacuum

We analyze the geometrical structure of the local non-Abelian gauge theory in terms of the magnetic symmetry, using me resemblance between the non-Abe lian gauge formulations and Einstein's theory of gravitation in a higher di mensional unified space. The mathematical foundation of dual QCD in fiber b undle form is then discussed and used for the analysis of the important pro blem of color confinement in QCD. The associated Lagrangian formulation in magnetic gauge is shown to lead to dual dynamics due to the emergence of th e topological charges of magnetic nature. The dynamical breaking of magneti c symmetry is shown to lead to the magnetic condensation of the QCD vacuum. A state of the dual superconductivity in the QCD vacuum is then shown to e volve which ultimately pushes the QCD vacuum to the confining phase. The fl ux tube structure of the magnetically condensed QCD vacuum is analyzed by c omputing the asymptotic string solutions of the field equations. The energy content of such confining structures is computed and analyzed in terms of its logarithmic and linear nature.