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

Source: [The exact equivalence of the one-flavour lattice Thirring model with Wilson fermions to a two-colour loop model](<https://www.sota2.com/research/paper/68fa23272c2a376019393512>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T06:06:11.678Z

Authors: K. Scharnhorst

Published: 1996-11-06T13:19:37.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-lat/9611005>)

[PDF](<https://arxiv.org/pdf/hep-lat/9611005.pdf>)