K. Scharnhorst: The exact equivalence of the one-flavour lattice Thirring model with Wilson fermions to a two-colour loop model. Nuclear Physics B 503:1(1997)479-504 (DOI: 10.1016/S0550-3213(97)00423-9) [arXiv:hep-lat/9611005, University of Wales Swansea report SWAT/96/131, Humboldt University Berlin report HUB-EP-96/56]. [INSPIRE record]

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 . Document last modified: June 8, 2023