Abstract
We put forth a Fierz-transformed hopping expansion for strong coupling Wilson fermions. As an application, we show that the strong coupling Schwinger model on parallelogram lattices with nonbacktracking Wilson fermions span, as a function of the lattice skewness angle, the $\ensuremath{\Delta}=\ensuremath{-}1$ critical line of six-vertex models. This Fierz-transformed formulation also applies to backtracking Wilson fermions, which as we describe apparently correspond to richer systems. However, we have not been able to identify them with exactly solved models.
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