A formula is derived relating Wilson loop correlations in Potts lattice gauge theory to a topological quantity in the plaquette random cluster model, enabling proofs about correlation lengths on Z^d at various temperatures and boundary conditions.
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A Topological Formula for Potts Lattice Gauge Theory Correlations
A formula is derived relating Wilson loop correlations in Potts lattice gauge theory to a topological quantity in the plaquette random cluster model, enabling proofs about correlation lengths on Z^d at various temperatures and boundary conditions.