A dynamical gluon mass solution in Mandelstam's approximation

A. A. Natale; A. C. Aguilar

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A dynamical gluon mass solution in Mandelstam's approximation

A. C. Aguilar, A. A. Natale

High Energy Physics - Phenomenology · Submitted 4 May 2004

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

The authors' main claim We show that a dynamical gluon mass arises as a solution.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.21 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.58 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We discuss the pure gauge Schwinger-Dyson equation for the gluon propagator in the Landau gauge within an approximation proposed by Mandelstam many years ago. We show that a dynamical gluon mass arises as a solution. This solution is obtained numerically in the full range of momenta that we have considered without the introduction of any ansatz or asymptotic expression in the infrared region. The vertex function that we use follows a prescription formulated by Cornwall to determine the existence of a dynamical gluon mass in the light cone gauge. The renormalization procedure differs from the one proposed by Mandelstam and allows for the possibility of a dynamical gluon mass. Some of the properties of this solution, such as its dependence on $\Lambda_{QCD}$ and its perturbative scaling behavior are also discussed.

background contribution method result interpretation main claim

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 discuss the pure gauge Schwinger-Dyson equation for the gluon propagator in the Landau gauge within an approximation proposed by Mandelstam many years ago.	background 0.54	0.49	0.04	asserted 0.62
s1	We show that a dynamical gluon mass arises as a solution.	result 1.00	0.93	0.90	asserted 1.00
s2	This solution is obtained numerically in the full range of momenta that we have considered without the introduction of any ansatz or asymptotic expression in the infrared region.	method 0.73	0.96	0.30	asserted 1.00
s3	The vertex function that we use follows a prescription formulated by Cornwall to determine the existence of a dynamical gluon mass in the light cone gauge.	method 0.98	0.30	0.04	asserted 1.00
s4	The renormalization procedure differs from the one proposed by Mandelstam and allows for the possibility of a dynamical gluon mass.	method 0.86	0.77	0.08	hedged possibility 0.68
s5	Some of the properties of this solution, such as its dependence on $\Lambda_{QCD}$ and its perturbative scaling behavior are also discussed.	contribution 0.48	0.83	0.05	asserted 0.90

What kind of paper the classifier reports this is: theoretical result 0.86 · evidence from simulation or computation 1.00.

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arXiv listing abstract v3

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full text
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references and citing sentences
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P abstract

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S sections
T body sentences
C citations
R cross-paper relations

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

We discuss the pure gauge Schwinger-Dyson equation for the gluon propagator in the Landau gauge within an approximation proposed by Mandelstam many years ago. We show that a dynamical gluon mass arises as a solution. This solution is obtained numerically in the full range of momenta that we have considered without the introduction of any ansatz or asymptotic expression in the infrared region. The vertex function that we use follows a prescription formulated by Cornwall to determine the existence of a dynamical gluon mass in the light cone gauge. The renormalization procedure differs from the one proposed by Mandelstam and allows for the possibility of a dynamical gluon mass. Some of the properties of this solution, such as its dependence on $\Lambda_{QCD}$ and its perturbative scaling behavior are also discussed.

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References

Forward citations

Cited by 2 Pith papers

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

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.
Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
hep-th 2006-09 conditional novelty 5.0 of 10

Combining Dyson-Schwinger and functional renormalisation group equations uniquely fixes the infrared power laws of Landau gauge Yang-Mills Green functions, ruling out the competing finite-propagator solution.

How the literature uses it

1 arXiv paper cite this in 2 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 whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

This <A^2> condensate consequently gives rise to a dynamical gluon mass.

The 2PPI expansion: dynamical mass generation and vacuum energy · 0.81

Papers citing it · 1 sentence without a confident label

Cites it as background 1 paper

Additional insights can be found in Refs. [ref] , and for a comprehensive review, see Ref. [ref] .].

Gluon Mass Generation from Renormalons and Resurgence · Introduction · 0.87

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