English

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

High Energy Physics - Theory 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.hep-th/9601001,
  title  = {Integrable Z_n-Chiral Potts Model: The Missing Rapidity-Momentum Relation},
  author = {G. von Gehlen},
  journal= {arXiv preprint arXiv:hep-th/9601001},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T15:57:44.807Z