Quantum Holonomy in Three-dimensional General Covariant Field Theory and Link Invariant

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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RevTex, 12 pages. The metric independence of path integral measure is justified and the case of multi-component link is discus

Scientific paper

10.1103/PhysRevD.56.1170

We consider quantum holonomy of some three-dimensional general covariant non-Abelian field theory in Landau gauge and confirm a previous result partially proven. We show that quantum holonomy retains metric independence after explicit gauge fixing and hence possesses the topological property of a link invariant. We examine the generalized quantum holonomy defined on a multi-component link and discuss its relation to a polynomial for the link.

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