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

G. von Gehlen
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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 -> \infty 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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G. von Gehlen. 1996-01-02. Integrable Z_n-Chiral Potts Model: The Missing Rapidity-Momentum Relation. https://arxiv.org/abs/hep-th/9601001

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