High Energy Physics - Phenomenology · arXiv:hep-ph/0408309 v3 · submitted 26 Aug 2004
Landau-gauge condensates from the quark propagator on the lattice
The paper says
“Our result for the dynamical gluon mass at the scale of 10 GeV^2 is m_A=600-650 MeV, in agreement with independent determinations.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
We compute the dimension-2 condensate, <A^2>, and the dimension-4 mixed condensate, <\bar q A q>, from the recent quenched lattice results for the quark propagator in the Landau gauge. We fit the lattice data to the Operator Product Expansion in the "fiducial" region 1.2 GeV < Q < 3 GeV. Our result for the dynamical gluon mass at the scale of 10 GeV^2 is m_A=600-650 MeV, in agreement with independent determinations. For the mixed Landau gauge condensate of dimension-4 we get alpha_s <\bar q g A q> = (-0.11 +/- 0.03) GeV^4. This value is an order of magnitude larger than the <G^2> gluon condensate.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.17 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.99 · compares with prior results 0.91 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v3). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We compute the dimension-2 condensate, <A^2>, and the dimension-4 mixed condensate, <\bar q A q>, from the recent quenched lattice results for the quark propagator in the Landau gauge. | contribution 0.98 | 0.94 | 0.10 | asserted 1.00 |
| We fit the lattice data to the Operator Product Expansion in the "fiducial" region 1.2 GeV < Q < 3 GeV. | method 1.00 | 0.94 | 0.04 | asserted 0.98 |
| Our result for the dynamical gluon mass at the scale of 10 GeV^2 is m_A=600-650 MeV, in agreement with independent determinations. | result 1.00 | 0.94 | 0.33 | asserted 1.00 |
| For the mixed Landau gauge condensate of dimension-4 we get alpha_s <\bar q g A q> = (-0.11 +/- 0.03) GeV^4. | result 1.00 | 0.96 | 0.22 | asserted 1.00 |
| This value is an order of magnitude larger than the <G^2> gluon condensate. | interpretation 0.66 | 0.77 | 0.11 | asserted 1.00 |
What kind of paper the classifier reports this is: simulation study 0.92 · evidence from analysis of existing data 0.93
What was examined, and what was not
Sources read
- arXiv listing abstract v3
Not examined
- 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
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,389 input tokens, $0.0002 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 3 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
How the literature uses it
9 arXiv papers cite this in 13 sentences
Papers citing it · 7 sentences without a confident label
Uses its data or values 1 paper
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We apply $⟨g^2A^2 ⟩_vac = 4.4/(N_c^2 -1) GeV^2$ [ref] , and then get a finite quark pairing at temperature above $T=T_c$ and vanishes at $T_Δ = 416 MeV$.
A novel quark pairing in sQGP induced by the non-Abelian feature of the interaction · Introduction · 1.00
Compares with it 1 paper
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Furthermore, recalling that [equation] and that, due to the change of the renormalization scheme, [equation] for the effective coupling and the mass $m_sol$, one finds [equation] [equation] Therefore, choosing $s=0.6$, and setting $N=3$, the following one-loop estimates are found [equation] [equation] [equation] and [equation] Note that the value obtained for $m_sol$ is close to that already reported for the dynamical gluon mass in the Landau gauge [ref] .
On the dynamical mass generation in confining Yang-Mills theories · Searching for a sensible minimum · 0.83
Cites it as support 1 paper
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En realidad, siguiendo algunas sugerencias antiguas [ref] , requisitos fenomenológicos [ref] , estudios teóricos [ref] y análisis en el retículo [ref] hay actualmente una evidencia creciente de que el condensado invariante BRST de orden más bajo es de dimensión 2.
Efectos de Temperatura Finita y Curvatura en QCD y Modelos de Quarks Quirales · Introducción · 0.96
Cites it as background 3 papers
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Non-maximal dimension condensates are of fundamental interest in order to study the infrared into euclidean Yang-Mills theories as we can see by the amount of results obtained through theoretical, phenomenological and lattice simulations [ref] .
Covariant Mass and Geometrical setup in Euclidean gauge theories · Introduction · 0.93
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The study of operators of dimension two in Yang-Mills theories has already a relatively long history, as confirmed by the considerable amount of results obtained through theoretical and phenomenological studies as well as from lattice simulations [ref] .
On the gauge-invariant operator $A^2_{\min}$ in Euclidean Yang-Mills theories · Introduction · 0.99
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These condensates might play an important role in the non-perturbative regime of Euclidean Yang-Mills theories, as pointed out by the considerable amount of results obtained through theoretical and phenomenological studies as well as from lattice simulations [ref] .
A local and renormalizable framework for the gauge-invariant operator $A^2_{\min}$ in Euclidean Yang-Mills theories in linear covariant gauges · Introduction · 0.89
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