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Lattice two-point functions and conformal invariance

Malte Henkel·Dragi Karevski
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Abstract

A new realization of the conformal algebra is studied which mimics the behaviour of a statistical system on a discrete albeit infinite lattice. The two-point function is found from the requirement that it transforms covariantly under this realization. The result is in agreement with explicit lattice calculations of the $(1+1)D$ Ising model and the $d-$dimensional spherical model. A hard core is found which is not present in the continuum. For a semi-infinite lattice, profiles are also obtained.

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Malte Henkel, Dragi Karevski. 1997-11-25. Lattice two-point functions and conformal invariance. https://doi.org/10.1088/0305-4470%2F31%2F10%2F022

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