Lattice two-point functions and conformal invariance

Details Lattice two-point functions and conformal invariance Lattice two-point functions and conformal invariance

1997-11-25

arxiv.org/abs/cond-mat/9711265v1

J.Phys.A31:2503,1998

Physics

Condensed Matter

Statistical Mechanics

5 pages, plain Tex with IOP macros, no figures

Scientific paper

10.1088/0305-4470/31/10/022

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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