Morita Duality and Noncommutative Wilson Loops in Two Dimensions
arXiv:hep-th/0506016 · doi:10.1088/1126-6708/2005/10/030
Abstract
We describe a combinatorial approach to the analysis of the shape and orientation dependence of Wilson loop observables on two-dimensional noncommutative tori. Morita equivalence is used to map the computation of loop correlators onto the combinatorics of non-planar graphs. Several nonperturbative examples of symmetry breaking under area-preserving diffeomorphisms are thereby presented. Analytic expressions for correlators of Wilson loops with infinite winding number are also derived and shown to agree with results from ordinary Yang-Mills theory.
32 pages, 9 figures; v2: clarifying comments added; Final version to be published in JHEP