Magnetic Monopoles, Center Vortices, Confinement and Topology of Gauge Fields
H. Reinhardt, M. Engelhardt, K. Langfeld, M. Quandt, A. Sch"afke

TL;DR
This paper investigates the role of magnetic monopoles and center vortices in confinement and topology of gauge fields, supported by lattice results and continuum theory analysis.
Contribution
It introduces a continuum analog of the maximum center gauge and links vortex percolation to the confinement-deconfinement transition.
Findings
Vortex percolation correlates with confinement phase
Lattice results support vortex transition scenario
Continuum gauge analog constructed
Abstract
The vortex picture of confinement is studied. The deconfinement phase transition is explained as a transition from a phase in which vortices percolate to a phase of small vortices. Lattice results are presented in support of this scenario. Furthermore the topological properties of magnetic monopoles and center vortices arising, respectively, in Abelian and center gauges are studied in continuum Yang-Mills-theory. For this purpose the continuum analog of the maximum center gauge is constructed.
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