Hopping expansion as a tool for handling dual variables in lattice models

Abstract

The hopping expansion of 8-vertex models in their Grassmann representation is studied. We use the functional similarity of the Ising model in this expansion with the hopping expansion of 2-D Wilson fermions to show that the lattice fermions are equivalent to the Self-avoiding Loop Model at bending rigidity 1/sqrt{2}.

Comments: LATTICE98(spin), Reference corrected