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The fundamental scale of QCD

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Yu.A.Simonov

High Energy Physics - Phenomenology · Submitted 15 Mar 2021

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

The authors' main claim In this paper we connect all these scales to the vacuum condensate, using the field correlator method, where the string tension is expressed in terms of nonlocal field correlators, which are connected to the local condensates, while the perturbative $\Lambda_V$ is connected to $\sigma$ in the framework of the Background Perturbation Theory (BPT).

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arXiv ID2103.08223 (version 3)
Pith IDJQLWYRNX, Pith's permanent record of this paper and its review
CitationYu.A.Simonov. "The fundamental scale of QCD." arXiv:2103.08223 (2021). https://pith.science/paper/JQLWYRNX
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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-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,168 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.17 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

There are several scales in the QCD as the theory of strong interaction: the vacuum gluonic condensate (as the divergence of the dilatation current), the nucleon mass as the basic mass scale in our universe, which is connected to the string tension $\sigma$, and the perturbative QCD scale $\Lambda_{\rm QCD}$, which defines the scale of the renormalized perturbative expansions. In this paper we connect all these scales to the vacuum condensate, using the field correlator method, where the string tension is expressed in terms of nonlocal field correlators, which are connected to the local condensates, while the perturbative $\Lambda_V$ is connected to $\sigma$ in the framework of the Background Perturbation Theory (BPT). We also demonstrate how the IR singularities and IR renormalons disappear in BPT making the resulting theory internally consistent.

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 There are several scales in the QCD as the theory of strong interaction: the vacuum gluonic condensate (as the divergence of the dilatation current), the nucleon mass as the basic mass scale in our universe, which is connected to the string tension $\sigma$, and the perturbative QCD scale $\Lambda_{\rm QCD}$, which defines the scale of the renormalized perturbative expansions. background 1.00 0.06 0.05 asserted 1.00
s1 In this paper we connect all these scales to the vacuum condensate, using the field correlator method, where the string tension is expressed in terms of nonlocal field correlators, which are connected to the local condensates, while the perturbative $\Lambda_V$ is connected to $\sigma$ in the framework of the Background Perturbation Theory (BPT). contribution 0.74 0.92 0.60 asserted 1.00
s2 We also demonstrate how the IR singularities and IR renormalons disappear in BPT making the resulting theory internally consistent. result 0.93 0.91 0.24 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.97.

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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

There are several scales in the QCD as the theory of strong interaction: the vacuum gluonic condensate (as the divergence of the dilatation current), the nucleon mass as the basic mass scale in our universe, which is connected to the string tension $\sigma$, and the perturbative QCD scale $\Lambda_{\rm QCD}$, which defines the scale of the renormalized perturbative expansions. In this paper we connect all these scales to the vacuum condensate, using the field correlator method, where the string tension is expressed in terms of nonlocal field correlators, which are connected to the local condensates, while the perturbative $\Lambda_V$ is connected to $\sigma$ in the framework of the Background Perturbation Theory (BPT). We also demonstrate how the IR singularities and IR renormalons disappear in BPT making the resulting theory internally consistent.

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How the literature uses it

4 arXiv papers cite this in 22 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 · 20 sentences without a confident label

Cites it as support 1 paper
  • However as shown in [ref] the basic connection arises at small distances $r < 1$ GeV$^-1$ where string tension can be expressed via the vacuum average of the gluonic condensate.

    Theory of the deconfinement process in QCD · The string tension vs gluonic condensate · 0.98

What it cites · 47 sentences without a confident label

Uses the method or tool of 2 papers
  • We now turn to calculation of the static potentials, generated by $D^E, D_1^E$ [ref] .

    Field Correlator Method for the confinement in QCD · The string tension via the field correlators and the gluelump masses · 0.82

  • We now turn to calculation of the static potentials, generated by $D^E, D_1^E$ [ref] .

    Gluelumps and Confinement in QCD · The string tension via the field correlators and the gluelump masses · 0.82

Uses data or values from 1 paper
Compares with 3 papers
Cites as background 3 papers
  • Here one might remember the basic property of QCD – the confinement [ref] and its fundamental scale - the string tension $σ$, well defined both experimentally and in theory (see a detailed discussion in [ref] ).

    Field Correlator Method for the confinement in QCD · Introduction · 0.84

  • This topic has a long history and starts with the papers [ref] and later was developed explicitly for the confining background [ref] .

    "Massive" Perturbative QCD, regular in the IR limit · The perturbative QCD scale vs the confinement scale · 0.95

  • This topic has a long history and starts with the papers [ref] and later was developed explicitly for the confining background [ref] .

    Perturbation theory in the nonperturbative QCD vacuum · The perturbative QCD scale vs the confinement scale · 0.95

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