Topological considerations, in apparent disagreement with operatorial ones, seem to suggest that only integer and half-integer spins are possible on a sphere. In this letter we show that fractional spin is indeed possible on a sphere, but only by breaking the rotational invariance. As we will show in a subsequent paper, this is an example of the fact that the quantizations individuated by the covering space are those that preserve the continuous classical symmetries.
Fractional spin on the sphere and the breaking of rotational invariance
SPARANO, Giovanni
1991-01-01
Abstract
Topological considerations, in apparent disagreement with operatorial ones, seem to suggest that only integer and half-integer spins are possible on a sphere. In this letter we show that fractional spin is indeed possible on a sphere, but only by breaking the rotational invariance. As we will show in a subsequent paper, this is an example of the fact that the quantizations individuated by the covering space are those that preserve the continuous classical symmetries.File in questo prodotto:
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