Propagators and Dimensional Reduction of Hot SU(2) Gauge Theory

A. Cucchieri; F. Karsch; P. Petreczky

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Propagators and Dimensional Reduction of Hot SU(2) Gauge Theory

A. Cucchieri, F. Karsch, P. Petreczky

High Energy Physics - Lattice · Submitted 14 Mar 2001

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

The authors' main claim Comparison of the 3d and 4d propagators suggests that dimensional reduction works surprisingly well down to the temperature T=2 T_c.

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arXiv IDhep-lat/0103009 (version 2)

Pith ID3N2I3QLS, Pith's permanent record of this paper and its review

CitationA. Cucchieri, F. Karsch, P. Petreczky. "Propagators and Dimensional Reduction of Hot SU(2) Gauge Theory." arXiv:hep-lat/0103009 (2001). https://pith.science/paper/3N2I3QLS

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What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.60 · human participants 0.01 · controlled comparison 0.28 · randomized assignment 0.01 · states quantitative result 0.71 · compares with prior results 0.77 · mentions code or data availability 0.02.

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We investigate the large distance behavior of the electric and magnetic propagators of hot SU(2) gauge theory in different gauges using lattice simulations of the full 4d theory and the effective, dimensionally reduced 3d theory. Comparison of the 3d and 4d propagators suggests that dimensional reduction works surprisingly well down to the temperature T=2 T_c. Within statistical uncertainty the electric screening mass is found to be gauge independent. The magnetic propagator, on the other hand, exhibits a complicated gauge dependent structure at low momentum.

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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 investigate the large distance behavior of the electric and magnetic propagators of hot SU(2) gauge theory in different gauges using lattice simulations of the full 4d theory and the effective, dimensionally reduced 3d theory.	contribution 0.95	0.96	0.06	asserted 0.88
s1	Comparison of the 3d and 4d propagators suggests that dimensional reduction works surprisingly well down to the temperature T=2 T_c.	result 0.84	0.87	0.64	hedged possibility 0.99
s2	Within statistical uncertainty the electric screening mass is found to be gauge independent.	result 1.00	0.95	0.12	asserted 0.96
s3	The magnetic propagator, on the other hand, exhibits a complicated gauge dependent structure at low momentum.	result 1.00	0.91	0.08	asserted 1.00

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

sources read

arXiv listing abstract v2

not examined

full text
figures and tables
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P abstract

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S sections
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C citations
R cross-paper relations

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The paper

Original abstract

We investigate the large distance behavior of the electric and magnetic propagators of hot SU(2) gauge theory in different gauges using lattice simulations of the full 4d theory and the effective, dimensionally reduced 3d theory. Comparison of the 3d and 4d propagators suggests that dimensional reduction works surprisingly well down to the temperature T=2 T_c. Within statistical uncertainty the electric screening mass is found to be gauge independent. The magnetic propagator, on the other hand, exhibits a complicated gauge dependent structure at low momentum.

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References

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Cited by 8 Pith papers

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How the literature uses it

7 arXiv papers cite this in 12 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

A comparison of the 3d and 4d data for the propagators suggests that dimensional reduction works surprisingly well down to temperatures T=2 T_c.

Screening in Hot SU(2) Gauge Theory and Propagators in 3d Adjoint Higgs model · 1.00

Papers citing it · 9 sentences without a confident label

Builds on it 1 paper

The results presented in this paper extend earlier studies [ref] .

Yang-Mills Theory in lambda-Gauges · Introduction · 1.00

Cites it as background 2 papers

Furthermore, the Debye mass, which has been studied intensively on the lattice [ref] and hard thermal loop perturbation theory [ref] as well as with other thermal QCD approaches [ref] , can be extracted from the gluon propagator.

Non-perturbative finite-temperature Yang-Mills theory · Introduction · 0.92
There have been many investigations of them, see [ref] for a selection of some papers.

The Gribov problem and QCD dynamics · The $4d$ and $3d$ studies · 0.99

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