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arXiv · 1010.4426

Lattice Integrals of Motion of the Ising Model on the Cylinder

Alessandro Nigro
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Abstract

We consider the 2D critical Ising model with spatially periodic boundary conditions. It is shown that for a suitable reparametrization of the known Boltzmann weights the transfer matrix becomes a polynomial in the variable $\csc(4u)$, being $u$ the spectral parameter. The coefficients of this polynomial are decomposed on the periodic Temperley-Lieb Algebra by introducing a lattice version of the Local Integrals of Motion.

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Alessandro Nigro. 2012-03-27. Lattice Integrals of Motion of the Ising Model on the Cylinder. https://doi.org/10.1016/j.physa.2012.10.043

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