Finite-size energy levels of the superintegrable chiral Potts model

Details Finite-size energy levels of the superintegrable chiral Potts model Finite-size energy levels of the superintegrable chiral Potts model

1998-11-13

arxiv.org/abs/hep-th/9811123v1

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 15 pages, one Postscript figure, use lamuphys.sty

Scientific paper

In the solution of the superintegrable chiral Potts model special polynomials related to the representation theory of the Onsager algebra play a central role. We derive approximate analytic formulae for the zeros of particular polynomials which determine sets of low-lying energy eigenvalues of the chiral Potts quantum chain. These formulae allow the analytic calculation of the leading finite-size corrections to the energy eigenvalues without resorting to a numerical determination of the zeros.

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