Ising model on an irregular lattice as a fermion string model
Bershadskii-breve, I.D. Vai-brevesburd, Alexander Migdal
Abstract
We have constructed a Majorana fermion representation of the two-dimensional Ising model on an irregular triangulated lattice with the topology of a sphere and of a torus and also a fermion representation of the correlation function of disorder operators on the dual lattice. The representations obtained give the possibility of a nonperturbative analysis of the fermion string and in particular, may be used for Monte Carlo simulation.