Branching of Center Vortices in SU(3) Lattice Gauge Theory
arXiv:1810.04072 · doi:10.1103/PhysRevD.98.094508
Abstract
We analyze the branching of center vortices in 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.
arXiv comment11 pages, revtex4-1, expanded result section and discussion, improved figure layout, added references for the introduction, added acknowledgment and funding information
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