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math-phJun 24, 2003
22
citations (OpenAlex)
authors
  • Thierry Levy
institutions
  • Centre National de la Recherche Scientifique
  • Département de mathématiques et applications
  • École Normale Supérieure - PSL
arXiv abstractPDF
paper

Wilson loops in the light of spin networks

arXiv:math-ph/0306059 · doi:10.1016/j.geomphys.2004.04.003

Abstract

When G is a product of orthogonal, unitary and symplectic groups, we show that the Wilson loops generate a dense subalgebra of continuous observables on the configuration space of lattice gauge theory with structure group G.

References in corpus (1)

  • Spin Network States in Gauge Theory

Cited by in corpus (10)

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  • Stochastic quantisation of Yang-Mills-Higgs in 3D
  • Covariant Symanzik identities
  • Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
  • Large N limit of Yang-Mills partition function and Wilson loops on compact surfaces
  • Gauge Theory in Two Dimensions: Topological, Geometric and Probabilistic Aspects
  • The master field on the plane
  • Discrete and continuous Yang-Mills measure for non-trivial bundles over compact surfaces
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