English

Hyperelliptic parametrization of the generalized order parameter of the N=3 chiral Potts model

Statistical Mechanics 2007-05-23 v1

Abstract

It has been known for some time that the Boltzmann weights of the chiral Potts model can be parametrized in terms of hyperelliptic functions, but as yet no such parametrization has been applied to the partition and correlation functions. Here we show that for N=3 the function S(tp)S(t_p) that occurs in the recent calculation of the order parameters can be expressed quite simply in terms of such a parametrization.

Keywords

Cite

@article{arxiv.cond-mat/0601325,
  title  = {Hyperelliptic parametrization of the generalized order parameter of the N=3 chiral Potts model},
  author = {R. J. Baxter},
  journal= {arXiv preprint arXiv:cond-mat/0601325},
  year   = {2007}
}

Comments

19 pages, 3 figures