49 research outputs found
Spontaneous Magnetization of the Integrable Chiral Potts Model
We show how -invariance in the chiral Potts model provides a strategy to
calculate the pair correlation in the general integrable chiral Potts model
using only the superintegrable eigenvectors. When the distance between the two
spins in the correlation function becomes infinite it becomes the square of the
order parameter. In this way, we show that the spontaneous magnetization can be
expressed in terms of the inner products of the eigenvectors of the
asymptotically degenerate maximum eigenvalues. Using our previous results on
these eigenvectors, we are able to obtain the order parameter as a sum almost
identical to the one given by Baxter. This gives the known spontaneous
magnetization of the chiral Potts model by an entirely different approach.Comment: LaTeX 2E document, using iopart.cls with iopams packages, 22 pages, 1
eps figure. Presented at the Simons Center for Geometry and Physics Workshop
on Correlation Functions for Integrable Models 2010: January 18-22, 2010.
Version 2: The identity conjectured in version 1 is now proved and its proof
is presented in arXiv:1108.4713; various small corrections and improvements
have been made als