Abstract
We show that Generalised Clifford Algebras (G.C.A.) arise naturally in the formulation of the statistical mechanics of spin systems which generalise the well-known Ising model. A special one-parameter automorphism exhibits remarkable properties and leads to the introduction of lattice fermion fields with “exotic” statistics, nowadays thought to be relevant in some physical situations (such as charge fractionalisation).
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© 1986 D. Reidel Publishing Company
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Truong, T.T. (1986). Z(N)-Spin Systems and Generalised Clifford Algebras. In: Chisholm, J.S.R., Common, A.K. (eds) Clifford Algebras and Their Applications in Mathematical Physics. NATO ASI Series, vol 183. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4728-3_46
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DOI: https://doi.org/10.1007/978-94-009-4728-3_46
Publisher Name: Springer, Dordrecht
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