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A Solvable Model for Intersecting Loops

Bernard Nienhuis·Ronald Rietman
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Abstract

We show that some models with non-local (and non-localizable) interactions have a property, called quasi-locality, which allows for the definition of a transfer matrix. We give the Yang-Baxter equation as a sufficient condition for the existence of a family of commuting transfer matrices and solve them for a loop model with intersections. This solvable model is then analyzed in some detail and its applications to a Lorentz gas are briefly discussed.

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Bernard Nienhuis, Ronald Rietman. 1993-01-05. A Solvable Model for Intersecting Loops. https://arxiv.org/abs/hep-th/9301012

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