High Energy Physics - Phenomenology · arXiv:hep-ph/0304233 v1 · submitted 23 Apr 2003
Non-perturbative Propagators, Running Coupling and Dynamical Mass Generation in Ghost-Antighost Symmetric Gauges in QCD
The paper says
“We find a weakly vanishing gluon propagator at small momenta and an infrared singular ghost propagator in agreement with Zwanziger's horizon condition and the Kugo-Ojima confinement criterion.”
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Abstract
We present approximate non-perturbative solutions for the propagators as well as the running coupling of QCD from a coupled system of renormalised, truncated Dyson–Schwinger equations. We employ ansaetze for the dressed vertices such that the running coupling and the quark mass function are independent of the renormalisation point. Our solutions are in good agreement with the results of recent lattice calculations. We find a weakly vanishing gluon propagator at small momenta and an infrared singular ghost propagator in agreement with Zwanziger's horizon condition and the Kugo-Ojima confinement criterion. The running coupling possesses an infrared fixed point at alpha(0) = 8.92/N_c. To investigate the influence of boundary conditions on the propagators we solved the ghost and gluon DSEs also on a four-torus. Our results show typical finite volume effects but are still close to the continuum solutions for sufficiently large volumes. For the quark propagator we find dynamically generated quark masses that agree well with phenomenological values. The effects of unquenching the system are found to be small. In particular the infrared behaviour of the ghost and gluon dressing functions found in pure Yang-Mills theory is almost unchanged as long as the number of light flavors is smaller than four.
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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 0.76 · human participants 0.01 · controlled comparison 0.12 · randomized assignment 0.01 · states quantitative result 0.98 · compares with prior results 0.96 · mentions code or data availability 0.02
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This table labels the abstract only (arXiv listing abstract v1). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We present approximate non-perturbative solutions for the propagators as well as the running coupling of QCD from a coupled system of renormalised, truncated Dyson--Schwinger equations. | contribution 0.97 | 0.97 | 0.18 | asserted 1.00 |
| We employ ansaetze for the dressed vertices such that the running coupling and the quark mass function are independent of the renormalisation point. | method 0.99 | 0.95 | 0.06 | asserted 0.99 |
| Our solutions are in good agreement with the results of recent lattice calculations. | result 0.88 | 0.58 | 0.11 | asserted 0.99 |
| We find a weakly vanishing gluon propagator at small momenta and an infrared singular ghost propagator in agreement with Zwanziger's horizon condition and the Kugo-Ojima confinement criterion. | result 0.98 | 0.95 | 0.28 | asserted 1.00 |
| The running coupling possesses an infrared fixed point at alpha(0) = 8.92/N_c. | result 1.00 | 0.95 | 0.21 | asserted 1.00 |
| To investigate the influence of boundary conditions on the propagators we solved the ghost and gluon DSEs also on a four-torus. | method 0.73 | 0.97 | 0.03 | asserted 0.99 |
| Our results show typical finite volume effects but are still close to the continuum solutions for sufficiently large volumes. | result 0.97 | 0.95 | 0.05 | asserted 1.00 |
| For the quark propagator we find dynamically generated quark masses that agree well with phenomenological values. | result 1.00 | 0.97 | 0.12 | asserted 1.00 |
| The effects of unquenching the system are found to be small. | result 1.00 | 0.96 | 0.05 | asserted 1.00 |
| In particular the infrared behaviour of the ghost and gluon dressing functions found in pure Yang-Mills theory is almost unchanged as long as the number of light flavors is smaller than four. | result 0.97 | 0.91 | 0.12 | asserted 0.97 |
What kind of paper the classifier reports this is: theoretical result 0.73 · evidence from simulation or computation 0.91
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 7,514 input tokens, $0.0003 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 10 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory hep-th · Nov 2012
- Gauge bosons at zero and finite temperature hep-ph · Jun 2011
- On the infrared behavior of Landau gauge Yang-Mills theory hep-ph · Oct 2008
- Analytic properties of the Landau gauge gluon and quark propagators hep-ph · Sep 2003
- Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: Continuum results hep-th · Jul 2012
- The infrared behavior of lattice QCD Green's functions hep-lat · Sep 2006
- Probing Unquenching Effects in the Gluon Polarisation in Light Mesons hep-ph · Sep 2005
- The analytic properties of the quark propagator from an effective infrared interaction model hep-ph · Dec 2016
- Infrared Properties of QCD from Dyson-Schwinger equations hep-ph · May 2006
- A beginner's guide to functional methods in particle physics hep-ph · Oct 2025
How the literature uses it
10 arXiv papers cite this in 34 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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For the pure gauge theory without quarks this system of equations for the propagators of gluons and ghosts is solved in an approximation which allows for an analytic discussion of its solutions in the infrared: The gluon propagator is shown to vanish for small spacelike momenta whereas the ghost propagator is found to be infrared enhanced.
The Infrared Behavior of Gluon, Ghost, and Quark Propagators in Landau Gauge QCD · 0.81
States a conflicting result 2 papers
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The study of the above propagators at small momenta showed that the infrared divergence of the ghost propagator is enhanced, whereas the gluon propagator seem to remain finite and non-zero.
Non-Perturbative Approach to the Landau Gauge Gluodynamics · 0.92
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According to our analysis the gluon propagator is finite and non-zero at vanishing momentum, and the power-law behaviour of the ghost propagator is the same as in the free case.
Papers citing it · 17 sentences without a confident label
Contests it 1 paper
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An expression similar to the one used in four dimensions [ref] turns out to be insufficient, because the gluon loop will then dominate the ghost loop at intermediate momenta and the gluon dressing function turns negative.
Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: Continuum results · The coupled system of two-point DSEs · contest 0.78
Uses its method or tool 4 papers
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For the purpose of this numerical study it is sufficient to replace the dressed ghost-gluon vertex by its bare counterpart, i.e. $Γ_ν(q,p)=iq_ν$, whereas for the three-gluon vertex the model proposed in [ref] is employed [equation] with $k^2≡(q-p)^2$.
Solving the Ghost-Gluon System of Yang-Mills Theory on GPUs · The Dyson-Schwinger Equations for the Ghost-Gluon System · 0.98
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The employed construction of the three-gluon vertex is based on the one introduced in Refs. [ref] : [equation] where $Z_1$ is the renormalization constant of the three-gluon vertex, $y=q^2$, $z=(p+q)^2$ and $=-9/44$ is the anomalous ghost dimension, related to that of the gluon by $1+γ+2=0$. $a$ is a parameter which is irrelevant in the UV where it drops out.
On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory · Three-gluon vertex · 0.99
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[ref] and restrict the possible values of the coefficients by demanding the following conditions: * No quartic and quadratic divergencies should appear in the ghost loop of the gluon DSE and the ghost-gluon loop in the ghost DSE. * The logarithmic divergencies of these loops should remain the same as for the bare ghost-gluon vertex, i.e. as in perturbation theory.
On the infrared behavior of Landau gauge Yang-Mills theory · The gluon DSE: quadratic divergencies · 0.95
Uses its data or values 1 paper
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If both one loop diagrams are taken into account, $ω$ is $11N_c α(s)/12π$, $δ=-9/44$ and $γ=-13/22$ [ref] .
On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory · UV behavior of the propagator Dyson-Schwinger equations · 0.91
Compares with it 1 paper
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The resulting forms of the equations for the ghost and gluon DSEs are given by [equation] These forms are similar to the ones of the previously used truncation scheme of [ref] .
On the infrared behavior of Landau gauge Yang-Mills theory · Transversality · 0.85
Cites it as support 1 paper
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Furthermore it has been shown in [ref] that this choice of the vertex also leads to solutions which respect multiplicative renormalizability of the gluon DSE.
On the infrared behavior of Landau gauge Yang-Mills theory · The gluon DSE: quadratic divergencies · 0.98
Cites it as background 3 papers
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The main guideline in their construction was the correct UV behavior for the gluon propagator, but also other aspects like quadratic UV divergences in the gluon DSE played a role, see Sec. [ref] and, for instance, Refs. [ref] .
On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory · Three-gluon vertex · 0.91
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For further details w.r.t. the definition of the renormalisation constants we refer to, e.g., [ref] .
No planar degeneracy for the Landau gauge quark-gluon vertex · System of Dyson-Schwinger equations · 0.99
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A detailed account of the analytical ultraviolet analysis is given e.g. in [ref] .
QCD at finite temperature and chemical potential from Dyson-Schwinger equations · The gluon · 0.93
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