On topological properties of vacuum defects in lattice Yang-Mills theories

Abstract

We study correlations between low-lying modes of the overlap Dirac operator and vacuum defects, center vortices and three-dimensional volumes, in lattice SU(2) gluodynamics. The low-lying modes are apparently sensitive to topological properties of the underlying gluon field configurations while the vacuum defects are crucial for the confinement. We find distinct positive correlation in both cases. In case of vortices the correlation is stronger.

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Cited by in corpus (16)

• QCD and strongly coupled gauge theories: challenges and perspectives
• Numerical evidence of chiral magnetic effect in lattice gauge theory
• Center Vortices and the Dirac Spectrum
• Connection between centre vortices and instantons through gauge-field smoothing
• Chiral Symmetry Breaking on the Lattice
• Center vortex model for the infrared sector of SU(3) Yang-Mills theory: Topological susceptibility
• Chiral superfluidity of the quark-gluon plasma
• Centre vortex removal restores chiral symmetry
• Fractal dimension of the topological charge density distribution in SU(2) lattice gluodynamics
• Matter of resolution: from quasiclassics to fine tuning
• Center vortices as rigid strings
• Approaching $SU(2)$ gauge dynamics with smeared $Z(2)$ vortices
• On the Continuum Limit of Topological Charge Density Distribution
• Surface operators and magnetic degrees of freedom in Yang-Mills theories
• Shrinking fermionic modes, on the lattice and in the continuum
• Nonperturbative physics at short distances