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arXiv · hep-th/0406187

Wilson Loops in 2D Noncommutative Euclidean Gauge Theory: 1. Perturbative Expansion

J. Ambjorn·A. Dubin·Y. Makeenko
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Abstract

We calculate quantum averages of Wilson loops (holonomies) in gauge theories on the Euclidean noncommutative plane, using a path-integral representation of the star-product. We show how the perturbative expansion emerges from a concise general formula and demonstrate its anomalous behavior at large parameter of noncommutativity for the simplest nonplanar diagram of genus 1. We discuss various UV/IR regularizations of the two-dimensional noncommutative gauge theory in the axial gauge and, using the noncommutative loop equation, construct a consistent regularization.

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J. Ambjorn, A. Dubin, Y. Makeenko. 2004-06-30. Wilson Loops in 2D Noncommutative Euclidean Gauge Theory: 1. Perturbative Expansion. https://doi.org/10.1088/1126-6708%2F2004%2F07%2F044

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