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arXiv · hep-lat/9611005

The exact equivalence of the one-flavour lattice Thirring model with Wilson fermions to a two-colour loop model

K. Scharnhorst
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Abstract

Within Euclidean lattice field theory an exact equivalence between the one-flavour 2D Thirring model with Wilson fermions and Wilson parameter $r = 1$ to a two-colour loop model on the square lattice is established. For non-interacting fermions this model reduces to an exactly solved loop model which is known to be a free fermion model. The two-colour loop model equivalent to the Thirring model can also be understood as a 4-state 49-vertex model.

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K. Scharnhorst. 1996-11-06. The exact equivalence of the one-flavour lattice Thirring model with Wilson fermions to a two-colour loop model. https://doi.org/10.1016/s0550-3213(97)00423-9

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