Heriot-Watt Mathematics Report Series
HWM05-15, 27 May 2005
Morita Duality and Noncommutative Wilson Loops in Two Dimensions
M Cirafici, L Griguolo, D Seminara and R J Szabo
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.
Google Scholar Search: links, citations and journal (if available)
Contact Details | 2005 Reports Index |
Full Index