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arXiv · 1408.4101

Noncommutative Generalization of Wilson Lines

Petr Ivankov
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Abstract

A classical Wilson line is a cooresponedce between closed paths and elemets of a gauge group. However the noncommutative geometry does not have closed paths. But noncommutative geometry have good generalizations of both: the covering projection, and the group of covering transformations. These notions are used for a construction of noncommutative Wilson lines. Wilson lines can also be constructed as global pure gauge fields on the universal covering space. The noncommutative analog of this construction is also developed.

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Petr Ivankov. 2014-08-18. Noncommutative Generalization of Wilson Lines. https://doi.org/10.13140/2.1.3882.3049

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