Percolation and deconfinement in SU(2) gauge theory

Fortunato, Santo; Satz, Helmut

doi:10.1016/s0375-9474(00)00554-6

Cited by 22 publications

(17 citation statements)

References 62 publications

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“…Then, we proceeded by showing as the magnetic phase transition that occurs in the twodimensional Ising model can be understood as a percolation phenomenon. In the last section, we presented the connection between SU (2) gauge theory and effective spin system, as argued by Satz and Fortunato [6,8].…”

Section: Conclusion and Future Perspectivesmentioning

confidence: 91%

“…Our motivation in this theory is driven basically by its possible relevance to the problem of color deconfinement in Quantum Chromodynamics (QCD). The connection between the two phenomena can be argued as follows [6,8].…”

Section: Percolation Theory and Deconfinement In Qcdmentioning

confidence: 99%

“…Recently, Satz and Fortunato [6,8] have undertaken percolation studies for SU (2) gauge theories. This was made possible by the use of the Green-Karsch [9] effective theory which allows to write the partition function of the theory, in the strong coupling limit and neglecting spacelike plaquettes, as…”

Section: Percolation Theory and Deconfinement In Qcdmentioning

confidence: 99%

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Percolation of Monte Carlo clusters

Wanzeller¹,

Cucchieri²,

Mendes³

et al. 2004

Braz. J. Phys.

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Percolation theory is of interest in problems of phase transitions in condensed matter physics, and in biology and chemistry. More recently, concepts of percolation theory have been invoked in studies of color deconfinement at high temperatures in Quantum Chromodynamics. In the present paper we briefly review the basic concept of percolation theory, exemplify its application to the Ising model, and present the arguments for a possible relevance of percolation theory to the problem of color deconfinement.

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Section: Conclusion and Future Perspectivesmentioning

confidence: 91%

Section: Percolation Theory and Deconfinement In Qcdmentioning

confidence: 99%

See 1 more Smart Citation

Percolation of Monte Carlo clusters

Wanzeller¹,

Cucchieri²,

Mendes³

et al. 2004

Braz. J. Phys.

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“…At high temperatures, the Z(3) symmetric Polyakov loop potential has three degenerate minima, leading to a domain structure in the deconfined phase, where center symmetry spontaneously breaks into different gauge configurations in different spatial regions. Lattice QCD studies have confirmed the existence of these center domains for the SU(2) gauge group [4][5][6] and later for SU(3) [7][8][9][10]. The formation of such structures necessarily comes with domain walls, interpolating between the different values of Z(3) in neighboring domains [11,12].…”

Section: Introductionmentioning

confidence: 92%

Dynamical formation of center domains in quark-gluon plasma

et al. 2017

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We study the formation of domain structures due to spontaneous breakdown of center symmetry at high temperatures in quenched QCD. We develop a phenomenological model for the explicit propagation of the Polyakov loop as the relevant order parameter of the deconfinement phase transition. The surface tension in the equation of motion is fit in comparison with lattice QCD data. Results give insight into the dynamical formation of center domains as well as the formation of energy bands along domain walls and let us estimate the required time to form such structures above the critical temperature.

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“…The volume V = (aN s ) 3 depends on the spatial extent of the lattice aN s . Most studies of center domains change the temperature by varying the lattice spacing [9][10][11]17]. This is a problem because the volume of the lattice is changed as the temperature changes.…”

Section: Anisotropic Gauge Actionmentioning

confidence: 99%

Visualizations of coherent center domains in local Polyakov loops

2014

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Quantum Chromodynamics exhibits a hadronic confined phase at low to moderate temperatures and, at a critical temperature T C , undergoes a transition to a deconfined phase known as the quark-gluon plasma. The nature of this deconfinement phase transition is probed through visualisations of the Polyakov loop, a gauge independent order parameter. We produce visualisations that provide novel insights into the structure and evolution of center clusters. Using the HMC algorithm the percolation during the deconfinement transition is observed. Using 3D rendering of the phase and magnitude of the Polyakov loop, the fractal structure and correlations are examined. The evolution of the center clusters as the gauge fields thermalise from below the critical temperature to above it are also exposed. We observe deconfinement proceeding through a competition for the dominance of a particular center phase. We use stout-link smearing to remove small-scale noise in order to observe the large-scale evolution of the center clusters. A correlation between the magnitude of the Polyakov loop and the proximity of its phase to one of the center phases of SU (3) is evident in the visualisations.

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Percolation and deconfinement in SU(2) gauge theory

Cited by 22 publications

References 62 publications

Percolation of Monte Carlo clusters

Percolation of Monte Carlo clusters

Dynamical formation of center domains in quark-gluon plasma

Visualizations of coherent center domains in local Polyakov loops

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