Eight-vertex model over Grassmann algebra

An eight-vertex model on a square lattice over a Grassmann algebra is investigated using an equation that is a three-dimensional generalization of the Yang-Baxter equation. Anticommuting quantum spin systems are studied, where the quasiclassical limit leads to some abstract classical physics with an...

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Bibliographic Details
Published in:Journal of physics. Conference series 2019-11, Vol.1391 (1), p.12035
Main Authors: Kassenova, T.K., Tsyba, P.Yu, Razina, O.V.
Format: Article
Language:English
Subjects:
Physics
Statistical mechanics
Vector spaces
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Summary:An eight-vertex model on a square lattice over a Grassmann algebra is investigated using an equation that is a three-dimensional generalization of the Yang-Baxter equation. Anticommuting quantum spin systems are studied, where the quasiclassical limit leads to some abstract classical physics with anticommuting variables. The solution of the quantum Yang-Baxter equation is the R - matrix, which corresponds to the transfer R - matrix of the eight-vertex model of statistical mechanics.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1391/1/012035