Wilson loops in the light of spin networks

[摘要] If G is any finite product of compact orthogonal, unitary and symplectic matrix groups, then Wilson loops generate a dense subalgebra of continuous observables on the configuration space of lattice gauge theory with structure group G. If G is orthogonal, unitary or symplectic, then Wilson loops associated to the natural representation of G are enough. This extends a result of Sengupta [Proc. Am. Math. Soc. 1221 (3) (1994) 897] and earlier work by Durhuus [Lett. Math. Phys. 4 (6) (1980) 515]. In particular, our approach includes the cases of even orthogonal and symplectic groups. (C) 2004 Elsevier B.V. All rights reserved.

[发布日期] 2004-12-01

[关键词] lattice gauge theory;observables;spin networks;Wilson loops;classical invariant theory