High Energy Physics - Lattice · arXiv:hep-lat/0202003 v2 · submitted 4 Feb 2002
Overlap Quark Propagator in Landau Gauge
The paper says
“We clearly observe the dynamically generated infrared mass and confirm the qualitative behavior found for the Landau gauge quark propagator in earlier studies.”
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The paper
Abstract
The properties of the quark propagator in Landau gauge in quenched QCD are examined for the overlap quark action. The overlap quark action satisfies the Ginsparg-Wilson relation and as such provides an exact lattice realization of chiral symmetry. This in turn implies that the quark action is free of 𝒪(a) errors. We present results using the standard Wilson fermion kernel in the overlap formalism on a 123 × 24 lattice at a spacing of 0.125 fm. We obtain the nonperturbative momentum-dependent wavefunction renormalization function Z(p) and the nonperturbative mass function M(p) for a variety of bare masses. We perform a simple extrapolation to the chiral limit for these functions. We clearly observe the dynamically generated infrared mass and confirm the qualitative behavior found for the Landau gauge quark propagator in earlier studies. We attempt to extract the quark condensate from the asymptotic behavior of the mass function in the chiral limit.
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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 0.04 · states limitation 0.22 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.25 · compares with prior results 0.89 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| The properties of the quark propagator in Landau gauge in quenched QCD are examined for the overlap quark action. | contribution 0.85 | 0.82 | 0.05 | asserted 0.89 |
| The overlap quark action satisfies the Ginsparg-Wilson relation and as such provides an exact lattice realization of chiral symmetry. | background 0.98 | 0.08 | 0.04 | asserted 1.00 |
| This in turn implies that the quark action is free of ${\cal O}(a)$ errors. | background 0.94 | 0.13 | 0.04 | asserted 1.00 |
| We present results using the standard Wilson fermion kernel in the overlap formalism on a $12^3\times 24$ lattice at a spacing of 0.125 fm. | method 1.00 | 0.92 | 0.03 | asserted 0.99 |
| We obtain the nonperturbative momentum-dependent wavefunction renormalization function $Z(p)$ and the nonperturbative mass function $M(p)$ for a variety of bare masses. | result 0.55 | 0.97 | 0.07 | asserted 1.00 |
| We perform a simple extrapolation to the chiral limit for these functions. | method 0.98 | 0.96 | 0.04 | asserted 0.97 |
| We clearly observe the dynamically generated infrared mass and confirm the qualitative behavior found for the Landau gauge quark propagator in earlier studies. | result 0.96 | 0.95 | 0.60 | asserted 1.00 |
| We attempt to extract the quark condensate from the asymptotic behavior of the mass function in the chiral limit. | contribution 0.53 | 0.93 | 0.11 | hedged possibility 0.56 |
What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 1.00
What was examined, and what was not
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- arXiv listing abstract v2
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- references and citing sentences
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- P abstract
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- S sections
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- C citations
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How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,221 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 4 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Analytic properties of the Landau gauge gluon and quark propagators hep-ph · Sep 2003
- Non-perturbative Propagators, Running Coupling and Dynamical Quark Mass of Landau gauge QCD hep-ph · Jan 2003
- The infrared behavior of lattice QCD Green's functions hep-lat · Sep 2006
- Unquenched quark propagator in Landau gauge hep-lat · Jan 2005
How the literature uses it
11 arXiv papers cite this in 16 sentences
Papers citing it · 6 sentences without a confident label
Uses its method or tool 1 paper
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According to Ref. [ref] , we redefine the massless overlap quark propagator as [equation] which corresponds to imposing continuum chiral symmetry for overlap fermions: ${S,γ_5 } = 0$.
Overlap Quark Propagator in Coulomb Gauge QCD and the Interrelation of Confinement and Chiral Symmetry Breaking · Overlap Dirac Operator and Free Propagator · 0.83
Uses its data or values 1 paper
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The Ansätze are fitted to the respective lattice data: MMF quark propagator to lattice data of Ref. [ref] and ADFM quark propagator to lattice data in the overlap [ref] and Asqtad (tadpole improved staggered) [ref] formulations.
Pion observables calculated in Minkowski and Euclidean spaces with Ans\"atze for quark propagators · ADFM quark propagator · 0.96
Compares with it 1 paper
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When comparing these results to lattice quark propagator studies from a different fermionic action, for example to the (quenched) overlap quark propagator [ref] , we find better agreement for the hybrid scheme.
The chirally improved quark propagator and restoration of chiral symmetry · Tree-level correction · 1.00
Cites it as support 1 paper
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In fact, in the Landau gauge, the large quark mass is obtained from the Schwinger-Dyson approach [ref] and lattice QCD simulations [ref] for the quark propagator.
Remnants of quark model in lattice QCD simulation in the Coulomb gauge · Introduction · 0.96
Cites it as background 6 papers
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Overlap Dirac propagator studies in Landau gauge can be found in Refs. [ref] .
Overlap Quark Propagator in Coulomb Gauge QCD and the Interrelation of Confinement and Chiral Symmetry Breaking · Introduction · 0.99
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Dynamical chiral symmetry breaking is linked to the dynamical generation of mass in the quark propagator [ref] .
Numerical indication that center vortices drive dynamical mass generation in QCD · Introduction · 0.86
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The quark propagator from the overlap action has been examined in [ref] .
The chirally improved quark propagator and restoration of chiral symmetry · Introduction · 0.98
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