Abstract
Fermionic degrees of freedom are analyzed in two- and three-dimensional Ising models. The expression for the fermion propagator in a two-dimensional Ising model, written in the form of an integral over trajectories, is naturally generalized to the case of a fermion string in a three-dimensional Ising model and has the form of a sum over surfaces. An equation for a fermion string on the lattice is derived.
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