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arxiv: hep-th/0406073 · v3 · pith:7KWG7XZSnew · submitted 2004-06-09 · ✦ hep-th · math-ph· math.GR· math.MP· quant-ph

Three-cocycles, Nonassociative Gauge Transformations and Dirac's Monopole

classification ✦ hep-th math-phmath.GRmath.MPquant-ph
keywords monopolenonassociativediracgaugemagnetictransformationsallowsarbitrary
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The relation between 3-cocycles arising in the Dirac monopole problem and nonassociative gauge transformations is studied. It is shown that nonassociative extension of the group U(1) allows to obtain a consistent theory of pointlike magnetic monopole with an arbitrary magnetic charge.

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