Integrable Zn-Chiral Potts Model: The Missing Rapidity-Momentum Relation
نویسنده
چکیده
The McCoy-Roan integral representation for gaps of the integrable Znsymmetric 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. Mailing address: Physikalisches Institut Nussallee 12 53115 Bonn, Germany e-mail: [email protected] BONN-TH-95-21 hep-th/9601001 Bonn University December 1995 ISSN-0172-8733 INTEGRABLE Zn-CHIRAL POTTS MODEL: THE MISSING RAPIDITY-MOMENTUM RELATION G. VON GEHLEN a Physikalisches Institut der Universität Bonn, Nussallee 12, D-53115 Bonn, Germany The McCoy-Roan integral representation for gaps of the integrable Znsymmetric 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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