Morita duality and noncommutative Wilson loops in two dimensions

Michele Cirafici, Luca Griguolo, Domenico Seminara, Richard J. Szabo

Research output: Contribution to journalArticle

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 strong nonperturbative evidences 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. © SISSA 2005.

Original languageEnglish
Pages (from-to)783-813
Number of pages31
JournalJournal of High Energy Physics
Issue number10
DOIs
Publication statusPublished - 1 Oct 2005

Keywords

  • Field Theories in Lower Dimensions
  • Non-Commutative Geometry
  • Nonperturbative Effects
  • Space-Time Symmetries

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