Abstract
The intimate connection between factorizableS matrices and some vertex models in two dimensions (to be reviewed here) is exploited to show that the knowledge of theS matrix not only allows us to define a solvable vertex modelá la Zamolodchikov, but often to write down the free energy by inspection. The prototype for discussion is Baxter's eight-vertex model generated by Zamolodchikov's Z4 S matrix. The method is then applied to a hitherto unsolved 19-vertex model, based on the isospin-1S matrix of Zamolidchikov and Fateev, and agreement is checked to fourth order in a perturbation series. The possibility of molding other problems like theq-state Potts model into this framework is considered.
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Research supported in part by NSF grant No. INT 8117361.
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Shankar, R. On the solution of some vertex models using factorizableS matrices. J Stat Phys 29, 649–682 (1982). https://doi.org/10.1007/BF01011784
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DOI: https://doi.org/10.1007/BF01011784