Morita duality and noncommutative Wilson loops in two dimensions

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

doi:10.1088/1126-6708/2005/10/030

Morita duality and noncommutative Wilson loops in two dimensions

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

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8 Citations (Scopus)

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 language	English
Pages (from-to)	783-813
Number of pages	31
Journal	Journal of High Energy Physics
Issue number	10
DOIs	https://doi.org/10.1088/1126-6708/2005/10/030
Publication status	Published - 1 Oct 2005

Keywords

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

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10.1088/1126-6708/2005/10/030

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title = "Morita duality and noncommutative Wilson loops in two dimensions",

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. {\textcopyright} SISSA 2005.",

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author = "Michele Cirafici and Luca Griguolo and Domenico Seminara and Szabo, {Richard J.}",

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T1 - Morita duality and noncommutative Wilson loops in two dimensions

AU - Cirafici, Michele

AU - Griguolo, Luca

AU - Seminara, Domenico

AU - Szabo, Richard J.

PY - 2005/10/1

Y1 - 2005/10/1

N2 - 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.

AB - 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.

KW - Field Theories in Lower Dimensions

KW - Non-Commutative Geometry

KW - Nonperturbative Effects

KW - Space-Time Symmetries

U2 - 10.1088/1126-6708/2005/10/030

DO - 10.1088/1126-6708/2005/10/030

M3 - Article

SN - 1126-6708

SP - 783

EP - 813

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 10

ER -

Morita duality and noncommutative Wilson loops in two dimensions

Abstract

Keywords

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