Three-cocycles, nonassociative gauge transformations and Dirac's monopole

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.

Note:

Typos removed. To appear in Physics Letters A

11.15.-q
05.30.Pr
03.50.De
03.65.-w
14.80.Hv
Cocycle
Monopole
Nonassociativity
Gauge loop
Quasigroup

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Figures(0)

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