Landau gauge gluon and ghost propagators at finite temperature from quenched lattice QCD

A. Sternbeck; E.-M. Ilgenfritz; M. M\"uller-Preussker; R. Aouane; V. Bornyakov; V. Mitrjushkin

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Landau gauge gluon and ghost propagators at finite temperature from quenched lattice QCD

R. Aouane, V. Bornyakov, E.-M. Ilgenfritz, V. Mitrjushkin, M. Müller-Preussker, A. Sternbeck

High Energy Physics - Lattice · Submitted 8 Aug 2011

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

The authors' main claim Since the longitudinal component D_L(q) turns out to be most sensitive with respect to the phase transition we propose some combinations of D_L(q) signalling the transition much like "order parameters".

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arXiv ID1108.1735 (version 2)

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CitationA. Sternbeck, E.-M. Ilgenfritz, M. M\"uller-Preussker, R. Aouane, V. Bornyakov, V. Mitrjushkin. "Landau gauge gluon and ghost propagators at finite temperature from quenched lattice QCD." arXiv:1108.1735 (2011). https://pith.science/paper/QZ72PEX6

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.79 · human participants 0.01 · controlled comparison 0.08 · randomized assignment 0.01 · states quantitative result 0.32 · compares with prior results 0.09 · mentions code or data availability 0.02.

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The behavior of the Landau gauge gluon and ghost propagators is studied in pure SU(3) gauge theory at non-zero temperature on the lattice. We concentrate on the momentum range [0.6, 2.0] GeV. For the longitudinal as well as for the transverse component of the gluon propagator we extract the continuum limit. We demonstrate the smallness of finite-size and Gribov-copy effects at temperatures close to the deconfinement phase transition at T=T_c and within the restricted range of momenta. Since the longitudinal component D_L(q) turns out to be most sensitive with respect to the phase transition we propose some combinations of D_L(q) signalling the transition much like "order parameters".

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The behavior of the Landau gauge gluon and ghost propagators is studied in pure SU(3) gauge theory at non-zero temperature on the lattice.	contribution 0.96	0.90	0.04	asserted 0.93
s1	We concentrate on the momentum range [0.6, 2.0] GeV.	method 0.76	0.82	0.03	asserted 0.85
s2	For the longitudinal as well as for the transverse component of the gluon propagator we extract the continuum limit.	method 0.58	0.95	0.10	asserted 0.99
s3	We demonstrate the smallness of finite-size and Gribov-copy effects at temperatures close to the deconfinement phase transition at T=T_c and within the restricted range of momenta.	result 0.99	0.94	0.17	asserted 1.00
s4	Since the longitudinal component D_L(q) turns out to be most sensitive with respect to the phase transition we propose some combinations of D_L(q) signalling the transition much like "order parameters".	interpretation 0.66	0.91	0.48	asserted 0.48

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Original abstract

The behavior of the Landau gauge gluon and ghost propagators is studied in pure SU(3) gauge theory at non-zero temperature on the lattice. We concentrate on the momentum range [0.6, 2.0] GeV. For the longitudinal as well as for the transverse component of the gluon propagator we extract the continuum limit. We demonstrate the smallness of finite-size and Gribov-copy effects at temperatures close to the deconfinement phase transition at T=T_c and within the restricted range of momenta. Since the longitudinal component D_L(q) turns out to be most sensitive with respect to the phase transition we propose some combinations of D_L(q) signalling the transition much like "order parameters".

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Cited by 2 Pith papers

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

Weak (quasi-)PDFs from the lattice
hep-lat 2026-10 conditional novelty 7.0 of 10

A first lattice computation of weak quasi-PDFs in a reduced Standard Model finds a suppressed Higgs PDF at small momentum fraction and 1/x-like W/Z PDFs, at tree level and with imposed sum-rule normalizations.
Polyakov loop modeling for hot QCD
hep-ph 2017-05 accept novelty 1.0 of 10

The review organizes the Polyakov loop as an approximate deconfinement order parameter and as a building block for hot-QCD models.

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34 arXiv papers cite this in 63 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 citing it · 30 sentences without a confident label

Builds on it 1 paper

Correspondingly we have started a lattice computation of gluon and ghost propagators at non-zero temperature, first in $SU(3)$ pure gauge theory [ref] and more recently for the full QCD case with two light flavor degrees of freedom [ref] .

Landau gauge gluon and ghost propagators from two-flavor lattice QCD at T > 0 · Introduction · 0.95

Uses its method or tool 6 papers

As we see later, thanks to a nice parametrization of the propagators in Ref. [ref] , our practical strategy requires only minimal modifications in the model-study procedures.

Polyakov loop and QCD thermodynamics from the gluon and ghost propagators · Introduction · 0.80
In order to suppress lattice effects we have applied momentum cuts as described in [ref] .

Lattice Landau gauge quark propagator at finite temperature · Results and Conclusions · 0.99
At finite $T$, we project the Lorentz structure of the propagator $D^ab_μν(q̂)$ with two independent form factors, [equation] using transverse and longitudinal projectors in the Landau gauge [ref] , similar to magnetic and electric projectors respectively, [equation] [equation]

Gluon mass at finite temperature in Landau gauge · Gluon propagator at $T > 0$ · 0.97

Uses its data or values 3 papers

In this work we use two sets of parameters at $T=0.86 T_c$ and $T=1.20 T_c$ taken from Ref. [ref] , which is listed in Tab. [ref].

Polyakov loop and QCD thermodynamics from the gluon and ghost propagators · Introduction · 1.00
For the values reported in [ref] , our topological invariant acquires the following values: $N_Γ = 0$ whenever $b=0$ , since the propagator then displays only a (negative) real (double) pole.

Extracting topological information from momentum space propagators · A gluon propagator that fits lattice data · 0.99
The lattice data [ref] show a cross-over type of signal in the ratio of the two inequivalent Lorentz structures for the gluon propagator, but no clear qualitative change at the deconfinement phase transition.

A covariant variational approach to Yang-Mills Theory at finite temperatures · Introduction · 0.89

Compares with it 10 papers

The lattice study in Ref. [ref] , to which we compare, employs a similar prescription with $μ_∞= 5 GeV$.

A covariant variational approach to Yang-Mills Theory at finite temperatures · Numerical procedure at finite temperature · 0.85
Both effects, the enhanced volume dependence and the temperature dependence agree with the situation in the quenched theory [ref] .

Finite-density gauge correlation functions in QC2D · Finite-temperature results · 0.94
We made use of the rational function fits according to [ref] , and we could find a phase transition at a temperature within the range $T/T_c = 1.20$ and $T/T_c = 1.48$, which is slightly above the thermodynamic critical (deconfinement) temperature found by the authors.

Extracting topological information from momentum space propagators · Conclusions · 0.86

Cites it as support 1 paper

The discrepancy above $∼1.2T_c$ should be attributed to the neglected $T$-dependence in the non-perturbative propagators as seen in Refs. [ref] .

Polyakov loop and QCD thermodynamics from the gluon and ghost propagators · Introduction · 1.00

Cites it as background 7 papers

The lattice gluon propagator has oftentimes been interpreted in terms of the tree level predictions of the Gribov-Zwanziger action and its generalizations [ref] , with applications in [ref] .

High Precision Statistical Landau Gauge Lattice Gluon Propagator Computation vs. the Gribov-Zwanziger approach · Introduction · 0.99
Lattice studies of the Landau-gauge gluon propagator around the deconfinement phase transition in pure $SU(2)$ and $SU(3)$ theory, as well as considering dynamical quarks, have been presented in [ref] .

Systematic Effects at Criticality for the SU(2)-Landau-Gauge Gluon Propagator · Gluon propagator at finite temperature · 0.99
The Landau gauge gluon propagator has been studied using non-perturbative methods for a wide range of temperatures both for full QCD and for the pure gauge theory [ref] .

Finite Temperature Landau Gauge Lattice Quark Propagator · Introduction and Motivation · 0.93

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