Wilson line correlators in two-dimensional noncommutative Yang-Mills theory

Details Wilson line correlators in two-dimensional noncommutative Yang-Mills theory Wilson line correlators in two-dimensional noncommutative Yang-Mills theory

2002-07-24

arxiv.org/abs/hep-th/0207222v4

JHEP 0210 (2002) 004

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 1 figure, typeset in JHEP style; some formulas corrected in Sect.3, one reference added, results unchanged

Scientific paper

10.1088/1126-6708/2002/10/004

We study the correlator of two parallel Wilson lines in two-dimensional noncommutative Yang-Mills theory, following two different approaches. We first consider a perturbative expansion in the large-N limit and resum all planar diagrams. The second approach is non-perturbative: we exploit the Morita equivalence, mapping the two open lines on the noncommutative torus (which eventually gets decompacted) in two closed Wilson loops winding around the dual commutative torus. Planarity allows us to single out a suitable region of the variables involved, where a saddle-point approximation of the general Morita expression for the correlator can be performed. In this region the correlator nicely compares with the perturbative result, exhibiting an exponential increase with respect to the momentum p.

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