The problem of gauge fixing for spherically symmetric Yang-Mills fields (Q1191703)

The Yang-Mills theory restricted by spherical symmetry is investigated in view of the problem of gauge fixing. We show that --- in contrast to the Coulomb gauge --- an extended Schwinger gauge provides a completely consistent representation of gauge orbits with trivial winding number without any Gribov singularities. The structure of the classical gauge fixed theory is revealed showing a discrepancy to the standard expectation. The temporal gauge quantization with extended Schwinger gauge fixing in the sense of Christ and Lee is shown to display the ``\(\theta\)-parameter'' symmetry in a manifest way.