Infinite Volume and Continuum Limits of the Landau-Gauge Gluon Propagator

A.G. Williams; D.B. Leinweber; F.D.R. Bonnet; J.M. Zanotti; P.O. Bowman

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Infinite Volume and Continuum Limits of the Landau-Gauge Gluon Propagator

F.D.R. Bonnet, P.O. Bowman, D.B. Leinweber, A.G. Williams, J.M. Zanotti

High Energy Physics - Lattice · Submitted 19 Jan 2001

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

The authors' main claim We demonstrate that by using tree-level correction, determined by the tree-level behavior of the action being considered, it is possible to obtain scaling behavior over a very wide range of momenta and lattice spacings.

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arXiv IDhep-lat/0101013 (version 2)

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CitationA.G. Williams, D.B. Leinweber, F.D.R. Bonnet, J.M. Zanotti, P.O. Bowman. "Infinite Volume and Continuum Limits of the Landau-Gauge Gluon Propagator." arXiv:hep-lat/0101013 (2001). https://pith.science/paper/GCL3Y6EP

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.22 · compares with prior results 0.63 · mentions code or data availability 0.02.

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We extend a previous improved action study of the Landau gauge gluon propagator, by using a variety of lattices with spacings from $a = 0.17$ to 0.41 fm, to more fully explore finite volume and discretization effects. We also extend a previously used technique for minimizing lattice artifacts, the appropriate choice of momentum variable or ``kinematic correction'', by considering it more generally as a ``tree-level correction''. We demonstrate that by using tree-level correction, determined by the tree-level behavior of the action being considered, it is possible to obtain scaling behavior over a very wide range of momenta and lattice spacings. This makes it possible to explore the infinite volume and continuum limits of the Landau-gauge gluon propagator.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We extend a previous improved action study of the Landau gauge gluon propagator, by using a variety of lattices with spacings from $a = 0.17$ to 0.41 fm, to more fully explore finite volume and discretization effects.	contribution 0.71	0.91	0.04	asserted 0.95
s1	We also extend a previously used technique for minimizing lattice artifacts, the appropriate choice of momentum variable or ``kinematic correction'', by considering it more generally as a ``tree-level correction''.	contribution 0.67	0.78	0.05	asserted 0.93
s2	We demonstrate that by using tree-level correction, determined by the tree-level behavior of the action being considered, it is possible to obtain scaling behavior over a very wide range of momenta and lattice spacings.	result 0.86	0.92	0.48	asserted 0.93
s3	This makes it possible to explore the infinite volume and continuum limits of the Landau-gauge gluon propagator.	interpretation 0.75	0.59	0.27	hedged possibility 0.74

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Original abstract

We extend a previous improved action study of the Landau gauge gluon propagator, by using a variety of lattices with spacings from $a = 0.17$ to 0.41 fm, to more fully explore finite volume and discretization effects. We also extend a previously used technique for minimizing lattice artifacts, the appropriate choice of momentum variable or ``kinematic correction'', by considering it more generally as a ``tree-level correction''. We demonstrate that by using tree-level correction, determined by the tree-level behavior of the action being considered, it is possible to obtain scaling behavior over a very wide range of momenta and lattice spacings. This makes it possible to explore the infinite volume and continuum limits of the Landau-gauge gluon propagator.

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References

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

IR finiteness of the ghost dressing function from numerical resolution of the ghost SD equation
hep-ph 2008-01 conditional novelty 6.0 of 10

The singular ghost dressing solution exists only at a critical coupling, while regular infrared-finite solutions exist below it and match lattice data.
Is the QCD ghost dressing function finite at zero momentum ?
hep-ph 2006-04 conditional novelty 6.0 of 10

The ghost dressing function is forced by the Schwinger-Dyson equation to have a finite nonzero infrared limit whenever it is less singular than any power of the momentum.
On the IR behaviour of the Landau-gauge ghost propagator
hep-ph 2008-03 conditional novelty 5.0 of 10

The ghost dressing function can be finite at zero momentum: this is a valid solution of the ghost Dyson-Schwinger equation, and Slavnov-Taylor identities plus lattice data are argued to favor it over the standard dive...
Infrared Properties of QCD from Dyson-Schwinger equations
hep-ph 2006-05 accept novelty 3.0 of 10

Landau-gauge Dyson-Schwinger studies indicate an infrared-finite running coupling, a vanishing gluon propagator, and dynamically generated quark mass, though lattice and continuum results still differ at low momentum.

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13 arXiv papers cite this in 19 sentences

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Uses its method or tool 2 papers

Following the procedure of Ref. [ref] all results are plotted after a momentum half-cut and a cylinder cut of radius $pa=2$ lattice units have been performed.

Gluon propagator on a centre-vortex background · Survey of configurations · 1.00
Appropriate for the Symanzik-improved Lüscher–Weisz gauge action [ref] , we define the momentum variable as k_μ= 2/a √( sin^2(p_μa/2)+1/3sin^4( p_μa/2 ) ), where p_μ= 2πn_μ/aL_μ are the discrete lattice momenta.

Lattice QCD Green's functions in maximally Abelian gauge: infrared Abelian dominance and the quark sector · Gluon propagator · 0.88

Cites it as background 3 papers

Whereas the dressed gluon propagator in Landau gauge is a well-known quantity by now, see [ref] and references therein[There is an intense debate on the behaviour of the gluon propagator in the deep infrared, i.e. for momenta $p ≤50$ MeV.

Hadronic light-by-light scattering in the muon g-2: a Dyson-Schwinger equation approach · Framework · 0.83
In the continuum, the Landau-gauge momentum-space gluon propagator has the following form [ref]

Gluon propagator on a centre-vortex background · Landau Gauge Gluon Propagator · 0.92
Gauge fixing is applied in several contexts within lattice field theory calculations, for example to give meaning to gauge-variant observables used in RI-MOM renormalization schemes [ref] , as a computational trick to replace gauge-invariant operators with cheaper gauge-variant operators [ref] , or as inputs for comparison to phenomenological models [ref] .

Exploring gauge-fixing conditions with gradient-based optimization · Introduction · 0.99

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