Analyticity and integrability in the chiral Potts model.

DOI10.1007/BF02179547zbMath1081.82525arXivhep-th/9509004OpenAlexW3105213090MaRDI QIDQ1593421

William P. Orrick, Barry M. McCoy

Publication date: 16 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9509004

zbMATH Keywords

perturbation theoryintegrabilityanalyticityDedekind sumsuperintegrabilitychiral Potts

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (7)

A few finite trigonometric sums ⋮ Some trigonometric identities. II ⋮ Closed-form summation of the Dowker and related sums ⋮ Trigonometrical sums connected with the chiral Potts model, Verlinde dimension formula, two-dimensional resistor network, and number theory ⋮ INTEGRABLE MODELS IN STATISTICAL MECHANICS: THE HIDDEN FIELD WITH UNSOLVED PROBLEMS ⋮ Trigonometric sums by Hermite interpolations ⋮ Explicit evaluations and reciprocity theorems for finite trigonometric sums

Cites Work

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• Excitation spectrum and correlation functions of the \(\mathbb Z_3\) chiral Potts quantum spin chain
• A perturbative approach to spectrum and correlation functions of the chiral Potts model.
• Automorphisms of \(\mathcal W\)-algebras and extended rational conformal field theories
• Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory
• Self-avoiding rings on the triangular lattice
• Some trigonometric identities encountered by McCoy and Orrick
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
• A perturbative study of analyticity in the chiral Potts model

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