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

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

1996-11-06

arxiv.org/abs/hep-lat/9611005v1

Nucl.Phys.B503:479-504,1997

Physics

High Energy Physics

High Energy Physics - Lattice

29 pages LaTeX

Scientific paper

10.1016/S0550-3213(97)00423-9

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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