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Study of Wilson loop functionals in 2D Yang-Mills theories

J. M. Aroca, Yu. A. Kubyshin

hep-tharXiv:hep-th/9802048

Abstract

The derivation of the explicit formula for the vacuum expectation value of the Wilson loop functional for an arbitrary gauge group on an arbitrary orientable two-dimensional manifold is considered both in the continuum case and on the lattice. A contribution to this quantity, coming from the space of invariant connections, is also analyzed and is shown to be similar to the contribution of monopoles.

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