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Coherent center domains from local Polyakov loops
High Energy Physics - Lattice · Submitted 30 Jul 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim For a suitable definition of these clusters we find that in the quenched case deconfinement manifests itself as the onset of percolation of the clusters.
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The abstract, sentence by sentence
We analyze properties of local Polyakov loops using quenched as well as dynamical SU(3) gauge configurations for a wide range of temperatures. It is demonstrated that for both, the confined and the deconfined regime, the local Polyakov loop prefers phase values near the center elements 1, exp(i 2 pi/3), exp(-i 2 pi/3). We divide the lattice sites into three sectors according to these phases and show that the sectors give rise to the formation of clusters. For a suitable definition of these clusters we find that in the quenched case deconfinement manifests itself as the onset of percolation of the clusters. A possible continuum limit of the center clusters is discussed.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We analyze properties of local Polyakov loops using quenched as well as dynamical SU(3) gauge configurations for a wide range of temperatures. | method 0.56 | 0.94 | 0.03 | asserted 0.85 |
| s1 | It is demonstrated that for both, the confined and the deconfined regime, the local Polyakov loop prefers phase values near the center elements 1, exp(i 2 pi/3), exp(-i 2 pi/3). | result 1.00 | 0.87 | 0.22 | asserted 1.00 |
| s2 | We divide the lattice sites into three sectors according to these phases and show that the sectors give rise to the formation of clusters. | method 0.65 | 0.95 | 0.13 | asserted 1.00 |
| s3 | For a suitable definition of these clusters we find that in the quenched case deconfinement manifests itself as the onset of percolation of the clusters. | result 0.84 | 0.94 | 0.58 | asserted 1.00 |
| s4 | A possible continuum limit of the center clusters is discussed. | future work 0.48 | 0.59 | 0.06 | hedged possibility 0.59 |
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The paper
Original abstract
We analyze properties of local Polyakov loops using quenched as well as dynamical SU(3) gauge configurations for a wide range of temperatures. It is demonstrated that for both, the confined and the deconfined regime, the local Polyakov loop prefers phase values near the center elements 1, exp(i 2 pi/3), exp(-i 2 pi/3). We divide the lattice sites into three sectors according to these phases and show that the sectors give rise to the formation of clusters. For a suitable definition of these clusters we find that in the quenched case deconfinement manifests itself as the onset of percolation of the clusters. A possible continuum limit of the center clusters is discussed.
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References
How the literature uses it
8 arXiv papers cite this in 27 sentences
Papers whose main result relates to this one's
States the same result 3 papers
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For a suitable definition of the clusters we find that the deconfinement transition of pure SU(3) gauge theory may be characterized by percolation of the center clusters.
Center clusters and their percolation properties in lattice QCD · 0.98
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We demonstrate that the deconfinement transition of SU(3) may be characterized by the percolation of suitably defined clusters.
Coherent center domains in SU(3) gluodynamics and their percolation at T_c · 0.94
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For a suitable definition of these clusters the deconfinement transition can be characterized by the onset of percolation in one of the center sectors.
Papers citing it · 22 sentences without a confident label
Uses its data or values 1 paper
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We use the temperature values studied in [ref] as quench temperatures above $T_c$ and then determine the correlation length $ξ$ from the two-point correlation function of the imaginary part $L_2$ of the Polyakov loop $L=L_1+iL_2$, [equation] taking the average $⟨…⟩_T$ over an ensemble with the same temperature $T$.
Dynamical formation of center domains in quark-gluon plasma · Domain size · 0.99
Compares with it 1 paper
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We see a clear resemblance between the data from our dynamical model and the lattice QCD results in the limited range investigated in [ref] .
Dynamical formation of center domains in quark-gluon plasma · Domain size · 0.99
Cites it as background 3 papers
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Another interesting study based on the topological view point is the study of the center clusters and the percolation [ref] .
Persistent homology analysis of deconfinement transition in effective Polyakov-line model · Introduction · 0.94
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This picture of center clusters has been studied in pure gauge theory with two [ref] , with three [ref] and with four colors [ref] , while preliminary results for dynamical quarks have been obtained in Refs. [ref] .
Center clusters in full QCD at finite temperature and background magnetic field · Center clusters · 0.84
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There are several discussions on the center clustering structure of QCD and some related theories [ref] which may be related to the confinement-deconfinement transition and topological structure of the system [ref] .
Information theoretical view of QCD effective model with heavy quarks · Introduction · 0.95
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