Integrable Zn-Chiral Potts Model: The Missing Rapidity-Momentum Relation
G. von Gehlen
Abstract
The McCoy-Roan integral representation for gaps of the integrable Zn- 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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