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

R. J. Baxter

doi:10.1017/S1446181100009858

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

R. J. Baxter^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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(t_p) that occurs in the recent calculation of the order parameters can be expressed quite simply in terms of such a parametrisation.

Original language	English
Pages (from-to)	289-307
Number of pages	19
Journal	ANZIAM Journal
Volume	47
Issue number	3
DOIs	https://doi.org/10.1017/S1446181100009858
Publication status	Published - Jan 2006

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

abstract = "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 be expressed quite simply in terms of such a parametrisation.",

keywords = "Chiral Potts model, Lattice models, Order parameters, Statistical mechanics",

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AB - 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 be expressed quite simply in terms of such a parametrisation.

KW - Chiral Potts model

KW - Lattice models

KW - Order parameters

KW - Statistical mechanics

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DO - 10.1017/S1446181100009858

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EP - 307

JO - ANZIAM Journal

JF - ANZIAM Journal

IS - 3

ER -

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

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