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

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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K. Scharnhorst (University of Wales Swansea, Humboldt University Berlin)

High Energy Physics - Lattice · Submitted 6 Nov 1996

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim 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.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-lat/9611005 (version 1)
Pith IDSQEMVHT2, Pith's permanent record of this paper and its review
CitationHumboldt University Berlin), K. Scharnhorst (University of Wales Swansea. "The exact equivalence of the one-flavour lattice Thirring model with Wilson fermions to a two-colour loop model." arXiv:hep-lat/9611005 (1996). https://pith.science/paper/SQEMVHT2
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,000 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.16 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.23 · compares with prior results 0.28 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

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.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 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. result 0.87 0.90 0.94 asserted 1.00
s1 For non-interacting fermions this model reduces to an exactly solved loop model which is known to be a free fermion model. result 0.58 0.27 0.05 asserted 1.00
s2 The two-colour loop model equivalent to the Thirring model can also be understood as a 4-state 49-vertex model. result 0.56 0.51 0.09 asserted 0.86

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original 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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