Wilson lines on noncommutative tori

Details Wilson lines on noncommutative tori Wilson lines on noncommutative tori

2000-02-12

arxiv.org/abs/hep-th/0002101v3

Phys.Lett. B482 (2000) 271-275

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, LaTeX (revtex), it is explained why the costruction of a Wilson line using the path ordered exponent does not apply i

Scientific paper

10.1016/S0370-2693(00)00500-1

We introduce the notion of a monodromy for gauge fields with vanishing
curvature on the noncommutative torus. Similar to the ordinary gauge theory,
traces of the monodromies define noncommutative Wilson lines. Our main result
is that these Wilson lines are invariant under the Seiberg-Witten map changing
the deformation parameter of the noncommutative torus.

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