Abstract
A new path integral formulation for theq-state Potts model is proposed. This formulation reproduces known results for the Ising model (q=2) and naturally extends these results for arbitraryq. The mean field results for both the Ising and the Potts models are obtained as a leading saddle point contribution to the corresponding functional integrals, while the systematic computation of corrections to the saddle point contribution produces the Onsager reaction field terms, which forq=2 coincide with results already known for the Ising model.
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Kholodenko, A.L. Onsager's reaction field for the Potts model from the path integral. J Stat Phys 58, 355–370 (1990). https://doi.org/10.1007/BF01020297
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DOI: https://doi.org/10.1007/BF01020297