Fractality and other properties of center domains at finite temperature Part 1: SU(3) lattice gauge theory

Abstract

Using finite temperature SU(3) lattice gauge theory in the fixed scale approach we analyze center properties of the local Polyakov loop L(x). We construct spatial clusters of points x where the phase of L(x) is near the same center element and study their properties as a function of temperature. We find that below the deconfinement transition the clusters form objects with a fractal dimension D < 3. As the temperature is increased, the largest cluster starts to percolate and its dimensionality approaches D=3. The fractal structure of the clusters in the transition region may have implications regarding both the small shear viscosity and the large opacity of the Quark Gluon Plasma observed in heavy-ion collision experiments.

Revised version with extended discussion and two new references. To appear in Phys. Rev. D

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Cited by in corpus (15)

• Recent advances in percolation theory and its applications
• Gluon Dynamics, Center Symmetry and the deconfinement phase transition in SU(3) pure Yang-Mills theory
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• Visualisations of coherent centre domains in local Polyakov loops
• Percolation leads to finite-size effects on the transition temperature and center of mass energy required for the quark-gluon plasma formation
• Persistent homology analysis for dense QCD effective model with heavy quarks
• The Chiral Separation Effect from lattice QCD at the physical point
• Center clusters in full QCD at finite temperature and background magnetic field
• Phase structure of pure SU(3) lattice gauge theory in 5 dimensions
• Quarks and Triality in a Finite Volume
• Exact finite-size scaling for the random-matrix representation of bond percolation on square lattice
• Persistent homology analysis of deconfinement transition in effective Polyakov-line model
• Information theoretical view of QCD effective model with heavy quarks
• Physical properties of Polyakov loop geometrical clusters in SU(2) gluodynamics
• Dynamical formation of center domains in quark-gluon plasma