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Color-Flavor Transformation for the Special Unitary Group and Application to Low Energy QCD

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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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J. Budczies, Y. Shnir

High Energy Physics - Lattice · Submitted 25 Jan 2001

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

The authors' main claim Application to low energy QCD on a lattice leads to a theory where the inverse number of colors appears as expansion parameter.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-lat/0101016 (version 2)
Pith IDVTDS3DCY, Pith's permanent record of this paper and its review
CitationJ. Budczies, Y. Shnir. "Color-Flavor Transformation for the Special Unitary Group and Application to Low Energy QCD." arXiv:hep-lat/0101016 (2001). https://pith.science/paper/VTDS3DCY
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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, 3,557 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.28 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The color-flavor transformation for the unitary group (Zirnbauer 1996) is extended to the special unitary group. The resulting partition function is represented as sum over disconnected sectors characterized by a U(1)-charge. Application to low energy QCD on a lattice leads to a theory where the inverse number of colors appears as expansion parameter. We use a saddle point approximation to estimate the partition function both in the pure mesonic sector and in the case of a single baryon on a mesonic background.

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 color-flavor transformation for the unitary group (Zirnbauer 1996) is extended to the special unitary group. contribution 0.89 0.77 0.12 asserted 1.00
s1 The resulting partition function is represented as sum over disconnected sectors characterized by a U(1)-charge. result 0.97 0.84 0.18 asserted 1.00
s2 Application to low energy QCD on a lattice leads to a theory where the inverse number of colors appears as expansion parameter. result 0.67 0.84 0.29 asserted 1.00
s3 We use a saddle point approximation to estimate the partition function both in the pure mesonic sector and in the case of a single baryon on a mesonic background. method 0.97 0.95 0.14 asserted 0.98

What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 0.98.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • 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

The color-flavor transformation for the unitary group (Zirnbauer 1996) is extended to the special unitary group. The resulting partition function is represented as sum over disconnected sectors characterized by a U(1)-charge. Application to low energy QCD on a lattice leads to a theory where the inverse number of colors appears as expansion parameter. We use a saddle point approximation to estimate the partition function both in the pure mesonic sector and in the case of a single baryon on a mesonic background.

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