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Hyperelliptic parametrisation of the generalised order parameter of the N = 3 chiral Potts model

Published online by Cambridge University Press:  17 February 2009

R. J. Baxter
R. J. Baxter
Affiliation:
Mathematical Sciences Institute, The Australian National University, Canberra, ACT 0200, Australia.
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Abstract

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

Keywords

statistical mechanicslattice modelsorder parameterschiral Potts model
Type
Research Article
Information
The ANZIAM Journal , Volume 47 , Issue 3 , January 2006 , pp. 289 - 307
Copyright
Copyright © Australian Mathematical Society 2006

References

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