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

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

2007-06-23

arxiv.org/abs/0706.3422v2

Physics

High Energy Physics

High Energy Physics - Lattice

17 pages, 6 figures; minor changes

Scientific paper

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.

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