SINGULAR GAUGE TRANSFORMATION AND WU-YANG SINGULAR-FREE MONOPOLE

The topological quantum effect of a magnetic string in the field-free manifold of nontrivial topology is investigated in terms of the Dirac nonintegrable phase, which is a special kind of function on a principal fibre bundle over the manifold. For the quantized string the nonintegrable phase is shown to become a gauge transformation, however, with a singularity, which we call the singular gauge transformation. The Wu-Yang singular-free monopole is obtained naturally with the singular gauge transformation.

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