Abstract
In this chapter we shall present exact results which apply to many lattice models of interest. Even before the exact solution of the two-dimensional Ising model by Onsager, Peierls (Proc Camb Phil Soc 32:471, 1936) proved the existence of two ordered phases at low temperatures. His argument can be extended to many other models with discrete target spaces. Here we present Peierls argument for the two- and three-dimensional Ising models.
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Wipf, A. (2021). Peierls Argument and Duality Transformations. In: Statistical Approach to Quantum Field Theory. Lecture Notes in Physics, vol 992. Springer, Cham. https://doi.org/10.1007/978-3-030-83263-6_10
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DOI: https://doi.org/10.1007/978-3-030-83263-6_10
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