Lattice Integrals of Motion of the Ising Model on the Cylinder

Details Lattice Integrals of Motion of the Ising Model on the Cylinder Lattice Integrals of Motion of the Ising Model on the Cylinder

2010-10-21

arxiv.org/abs/1010.4426v2

Physics

Mathematical Physics

questions,critiques and constructive comments are welcome, minor changes

Scientific paper

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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