Articles in peer-reviewed journals
|Lattice two-point functions and conformal invariance|
|Henkel M., Karevski D.|
|Journal of Physics A: Mathematical and General 31 (1998) 2503|
|ArXiv : cond-mat/9711265 [PDF]|
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)-dimensional 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.