High Energy Particle Physics

    

Single-Valued Simply-Connected Covering Groups Permitting Well-Defined Dirac-Wu-Yang Monopoles with Fractional Charges

Authors: Jay R. Yablon

Although the Wu-Yang derivation of the Dirac Quantization condition (DQC) leads mathematically to fractional charge solutions, a careful study of these fractional solutions using Dirac strings on a closed surface in SO(3) shows precisely why these fractional charges cannot occur without giving rise to observable singularities which of course are not permitted, and why only the standard DQC is permitted. However, SO(3) is multivalued and so is not an exact representation of the operative symmetries. When we carefully analyze simply-connected, single-valued covering groups for which the generators are the generalized mth roots of the 2x2 identity matrix I, which covering groups do exactly represent the operative symmetries, we find that there is no such restriction and well-defined fractional charges are topologically permitted without ambiguity.

Comments: 29 Pages.

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Submission history

[v1] 2015-04-02 12:21:37

Unique-IP document downloads: 281 times

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