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Geometry of gauge links in operator definitions of transverse-momentum dependent PDFs: A comparative view

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Igor O. Cherednikov

High Energy Physics - Phenomenology · Submitted 3 Dec 2011

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

The authors' main claim Different approaches to the problem of a gauge-invariant operator definition of transverse-momentum dependent parton densities (TMDs) are reviewed and compared from the point of view of their compatibility with the operator definition of collinear (integrated) parton distribution functions.

how it is stated · asserted 0.75 read the record →

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arXiv ID1112.0696 (version 1)
Pith IDLQOOCGVP, Pith's permanent record of this paper and its review
CitationIgor O. Cherednikov. "Geometry of gauge links in operator definitions of transverse-momentum dependent PDFs: A comparative view." arXiv:1112.0696 (2011). https://pith.science/paper/LQOOCGVP
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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, 2,977 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.13 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.81 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

Different approaches to the problem of a gauge-invariant operator definition of transverse-momentum dependent parton densities (TMDs) are reviewed and compared from the point of view of their compatibility with the operator definition of collinear (integrated) parton distribution functions. In particular, geometry of the longitudinal and transverse gauge links (Wilson lines) both in unsubtracted quark TMDs and in the associate soft factors is addressed. A possible connection between different operator definitions is also discussed.

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 Different approaches to the problem of a gauge-invariant operator definition of transverse-momentum dependent parton densities (TMDs) are reviewed and compared from the point of view of their compatibility with the operator definition of collinear (integrated) parton distribution functions. contribution 0.92 0.41 0.10 asserted 0.75
s1 In particular, geometry of the longitudinal and transverse gauge links (Wilson lines) both in unsubtracted quark TMDs and in the associate soft factors is addressed. contribution 0.96 0.32 0.07 asserted 0.80
s2 A possible connection between different operator definitions is also discussed. contribution 0.91 0.37 0.08 hedged possibility 0.87

What kind of paper the classifier reports this is: review 1.00 · evidence from literature 0.90.

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not examined
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  • references and citing sentences
  • relations to other papers
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  • 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

Different approaches to the problem of a gauge-invariant operator definition of transverse-momentum dependent parton densities (TMDs) are reviewed and compared from the point of view of their compatibility with the operator definition of collinear (integrated) parton distribution functions. In particular, geometry of the longitudinal and transverse gauge links (Wilson lines) both in unsubtracted quark TMDs and in the associate soft factors is addressed. A possible connection between different operator definitions is also discussed.

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2 arXiv papers cite this in 3 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 · 1 sentence without a confident label

Cites it as background 1 paper
  • A pertinent discussion is given in section I of our previous publication [ref] , with further details to be found in the references therein and recent overviews in Refs. [ref] .

    Sivers and Boer-Mulders observables from lattice QCD · General strategy · 0.93

What it cites · 1 sentence without a confident label

Cites as support 1 paper
Cites as background 4 papers
  • Recently, Collins proposed a new definition of the (quark) TMD [ref] which is built into the factorization formula for the semi-inclusive hadronic tensor (up to power corrections) [equation] where all soft factors are absorbed into the TMD distribution $F^Col.$ and the fragmentation $D^Col.$ functions, so that there are no separate soft factors in factorized structure functions, e.g., [equation] Here the soft factors depend on the light-like $n^±$ or the tilted $n_A,B$ vectors (for details, see [ref] ).

    New definition of TMD parton densities · Introduction · 0.81

  • Some phenomenological and lattice applications of this approach have already been discussed in Ref. [ref] .

    The QCD Evolution of the Sivers Function · Introduction · 0.80

  • Recently, some interesting aspects of the TMD factorization, light-like Wilson lines and renormalization properties of the PDFs have been studied adopting the methodology of soft-collinear effective theory (SCET) in Refs. [ref] .

    Factorization Theorem For Drell-Yan At Low q_T And Transverse-Momentum Distributions On-The-Light-Cone · Introduction · 0.95

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