Abstract
The authors point out that the very notion of space reflection is ill-defined when physical states are defined on a fibre bundle describing a charge-Dirac monopole system. In other words, there is no lift of the space reflection operator to the total space of such a non-trivial bundle. They construct a well defined transposition operator of two dyons on the non-trivial two-dyon bundle; consequently, they can correctly define its action on local sections. It is shown that symmetric wavefunctions defined on this bundle cannot be transformed into antisymmetric ones by a gauge transformation, in contradiction to the well known statement first pointed out in connection with the dyon spin problem.
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