Center clusters in the Yang-Mills vacuum

Abstract

Properties of local Polyakov loops for SU(2) and SU(3) lattice gauge theory at finite temperature are analyzed. We show that spatial clusters can be identified where the local Polyakov loops have values close to the same center element. For a suitable definition of these clusters the deconfinement transition can be characterized by the onset of percolation in one of the center sectors. The analysis is repeated for different resolution scales of the lattice and we argue that the center clusters have a continuum limit.

Table added. Final version to appear in JHEP

References in corpus (2)

• Coherent center domains in SU(3) gluodynamics and their percolation at T_c
• Coherent center domains from local Polyakov loops

Cited by in corpus (11)

• 50 Years of Quantum Chromodynamics
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• Gluon Dynamics, Center Symmetry and the deconfinement phase transition in SU(3) pure Yang-Mills theory
• Visualisations of coherent centre domains in local Polyakov loops
• Center clusters in full QCD at finite temperature and background magnetic field
• Numerical evidence for fractional topological objects in SU(3) gauge theory
• No coincidence of center percolation and deconfinement in SU(4) lattice gauge theory
• The $A^2$ Asymmetry and Gluon Propagators in Lattice $SU(3)$ Gluodynamics at $T\simeq T_c$
• Geometrical clusterization of Polyakov loops in SU(2) lattice gluodynamics
• Correlations and Critical Behavior in Lattice Gluodynamics