Covariantly constant Yang Mills vacuum fields and condensation of magnetic fluxes

Covariantly constant gauge fields are solutions of the sourceless Yang-Mills equation and represent classical vacuum fields. We found that the moduli space of covariantly constant gauge fields is infinite-dimensional and is much larger than the space of constant chromomagnetic fields. These solutions represent non-perturbative chromomagnetic flux tubes (vortices) and are the superposition of Nielsen-Olesen chromomagnetic vortices of opposite orientations. It is suggested that the solutions describe the condensate of superposed tubes (vortices) of opposite orientations and represent a dual analog of the Cooper pairs condensate in a superconductor.