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Positivity and topology in lattice gauge theory

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Michael Creutz

High Energy Physics - Lattice · Submitted 4 Sep 2004

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

The authors' main claim The admissibility condition usually used to define the topological charge in lattice gauge theory is incompatible with a positive transfer matrix.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-lat/0409017 (version 2)
Pith IDDPDGONR7, Pith's permanent record of this paper and its review
CitationMichael Creutz. "Positivity and topology in lattice gauge theory." arXiv:hep-lat/0409017 (2004). https://pith.science/paper/DPDGONR7
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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, 1,587 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.18 · human participants 0.02 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.55 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

The admissibility condition usually used to define the topological charge in lattice gauge theory is incompatible with a positive transfer matrix.

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 The admissibility condition usually used to define the topological charge in lattice gauge theory is incompatible with a positive transfer matrix. result 0.88 0.32 0.75 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.97 · evidence from proof or derivation 0.80.

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  • references and citing sentences
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  • P abstract
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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

The admissibility condition usually used to define the topological charge in lattice gauge theory is incompatible with a positive transfer matrix.

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References
How the literature uses it

5 arXiv papers cite this in 6 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 5 sentences without a confident label

Cites it as background 1 paper
  • A similar discussion appears in the nice review by Creutz [ref] who also analyzes the effects of these types of action modifications to reflection positivity [ref] .

    Instanton liquid properties from lattice QCD · Locating instantons · 0.84

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