Wilson Loops in 2D Noncommutative Euclidean Gauge Theory: 1. Perturbative Expansion
High Energy Physics - Theory
2009-11-10 v2
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.
Keywords
Cite
@article{arxiv.hep-th/0406187,
title = {Wilson Loops in 2D Noncommutative Euclidean Gauge Theory: 1. Perturbative Expansion},
author = {J. Ambjorn and A. Dubin and Y. Makeenko},
journal= {arXiv preprint arXiv:hep-th/0406187},
year = {2009}
}
Comments
27 pages, 2 figures