On the Integrable Structure of the Ising Model

Details On the Integrable Structure of the Ising Model On the Integrable Structure of the Ising Model

2007-10-23

arxiv.org/abs/0710.4213v2

J.Stat.Mech.0801:P01017,2008

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, no figures

Scientific paper

10.1088/1742-5468/2008/01/P01017

Starting from the lattice $A_3$ realization of the Ising model defined on a strip with integrable boundary conditions, the exact spectrum (including excited states) of all the local integrals of motion is derived in the continuum limit by means of TBA techniques. It is also possible to follow the massive flow of this spectrum between the UV $c=1/2$ conformal fixed point and the massive IR theory. The UV expression of the eigenstates of such integrals of motion in terms of Virasoro modes is found to have only rational coefficients and their fermionic representation turns out to be simply related to the quantum numbers describing the spectrum.

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