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.

Morita duality and noncommutative Wilson loops in two dimensions / M. CIRAFICI; L. GRIGUOLO; D. SEMINARA; R. J. SZABO. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - ELETTRONICO. - 0510(2005), pp. 030-1-030-32. [10.1088/1126-6708/2005/10/030]

Morita duality and noncommutative Wilson loops in two dimensions

SEMINARA, DOMENICO;
2005

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.
0510
030-1
030-32
M. CIRAFICI; L. GRIGUOLO; D. SEMINARA; R. J. SZABO
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/222989
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