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Visualisation of Centre Vortex Structure
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abstract
The centre vortex structure of the $SU(3)$ gauge field vacuum is explored through the use of novel visualisation techniques. The lattice is partitioned into 3D time slices, and vortices are identified by locating plaquettes with nontrivial centre phases. Vortices are illustrated by rendering vortex lines that pierce these nontrivial plaquettes. Nontrivial plaquettes with one dimension in the suppressed time direction are rendered by identifying the visible spatial link. These visualisations highlight the frequent presence of singular points and reveal an important role for branching points in $SU(3)$ gauge theory in creating high topological charge density regimes. Visualisations of the topological charge density are presented, and an investigation into the correlation between vortex structures and topological charge density is conducted. The results provide new insight into the mechanisms by which centre vortices generate nontrivial gauge field topology. This work demonstrates the utility of visualisations in conducting centre vortex studies, presenting new avenues with which to investigate this perspective of the QCD vacuum.
Forward citations
Cited by 4 Pith papers
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Center vortices in the novel phase of staggered fermions
Center vortices extracted from SU(3) lattice configurations capture the broken single-site shift symmetry of the staggered-fermion artifact phase, with only plaquettes spanning the broken dimension affected.
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Centre vortex evidence for a second finite-temperature QCD transition
Centre vortex percolation persists through the chiral crossover in 2+1 flavour QCD and is lost near 321 MeV, suggesting a separate deconfinement transition at about 1.9 times the chiral transition temperature.
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Cartan Fluxes in $SU(3)$ Lattice Gauge Theory
A root-lattice based DeGrand-Toussaint algorithm detects SU(3) monopoles with a density about 15% lower than the standard U(1)^3 method and yields Weyl-symmetric charge counts.
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Generic framework for non-perturbative QCD in light hadrons
The instanton liquid model, with instanton size, density, and quark mass as its main inputs, is presented as a generic framework for light-hadron vacuum condensates, matrix elements, and form factors.
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