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Branching of Center Vortices in SU(3) Lattice Gauge Theory

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arxiv 1810.04072 v2 pith:JTICBKQ7 submitted 2018-10-09 hep-th hep-lat

Felix Spengler , Markus Quandt , Hugo Reinhardt This is my paper · ORCID
classification hep-thhep-lat
keywords branchingcenterlatticephaseprobabilitydeconfinementgaugeslices
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abstract

We analyze the branching of center vortices in $SU(3)$ Yang-Mills theory in maximal center gauge. When properly normalized, we can define a branching probability that turns out to be independent of the lattice spacing (in the limited scaling window studied here). The branching probability shows a rapid change at the deconfinement phase transition which is much more pronounced in space slices of the lattice as compared to time slices. Though not a strict order parameter (in the sense that it vanishes in one phase) the branching probability is thus found to be a reliable indicator for both the location of the critical temperature and the geometric re-arrangement of vortex matter across the deconfinement phase transition.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Centre vortex evidence for a second finite-temperature QCD transition

    hep-lat 2024-11 conditional novelty 6.0 of 10

    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.

  2. Cartan Fluxes in $SU(3)$ Lattice Gauge Theory

    hep-lat 2026-04 unverdicted novelty 5.0 of 10

    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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