Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-06-22
JHEP 0407 (2004) 044
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, 2 figures
Scientific paper
10.1088/1126-6708/2004/07/044
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.
Ambjorn Jan
Dubin Andrei
Makeenko Yu.
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