Centre vortex structure in the presence of dynamical fermions

Abstract

An analysis of the geometry and structure of centre vortices in the presence of dynamical fermions is performed. A variety of metrics are used to measure the matrix structure of the vortex-modified gauge fields. Visualisations of centre vortices are presented and percolating clusters are identified. The size of secondary vortex clusters is analysed, with substantial differences observed between the pure Yang-Mills and dynamical fermion case. Vortex fields are represented as directed graphs, with branching points acting as the vertices. This representation leads to a novel picture of vortex branching as a binomial process. These results elucidate the change in the centre vortex vacuum induced by the introduction of dynamical fermions.

arXiv comment18 pages, 22 figures

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• Center vortices and the $\mathrm{SU}(3)$ conformal window
• Study of the Emergence of a Gluon Mass Scale from Center Vortices Using a Wave-Functional Formalism
• Structure of center-vortex matter in SU(4) Yang-Mills theory
• Center vortices in the novel phase of staggered fermions
• Novel insight into centre-vortex geometry in four dimensions