Integrable Z_n-Chiral Potts Model: The Missing Rapidity-Momentum Relation

1996/01/02 by G. von Gehlen, G von Gehlen, von Gehlen, G.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Random Matrices and Applications #Statistical Mechanics and Entropy #Theoretical and Computational Physics #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9601001

8 pages, LaTeX with sprocl.sty (included), 3 postscript figures included using psfig.sty

arxiv created 1996/01/02 · openalex publication_date 1996/01/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The McCoy-Roan integral representation for gaps of the integrable Z_n- symmetric Chiral Potts quantum chain is used to calculate the boundary of the incommensurable phase for various n. In the limit n -> ∞ an analytic formula for this phase boundary is obtained. The McCoy-Roan formula gives the gaps in terms of a rapidity. For the lowest gap we conjecture the relation of this rapidity to the physical momentum in the high-temperature limit using symmetry properties and comparing the McCoy-Roan formula to high-temperature expansions and finite-size data.

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