Dual representation of Polyakov loop in 3d SU(2) lattice Yang-Mills theory

Abstract

We consider the expectation value of a Polyakov loop in 3d SU(2) lattice Yang--Mills theory and transform it to the dual representation in terms of sums over spins. The spin dependence of the amplitudes is computed explicitly by a graphical method. We also determine the asymptotic (large spin) limit of the amplitude factors.

Comments: 17 pages, 6 figures; minor changes