Abstract

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 “Θ-parameter“ symmetry in a manifest way.

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