Topological data analysis observables built from magnetic monopole current networks reproduce the known deconfinement critical coupling in compact U(1) and SU(3) lattice gauge theory.
Monopoles, vortices and confinement in SU(3) gauge theory
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abstract
We compute, in SU(3) pure gauge theory, the vacuum expectation value (vev) of the operator which creates a $Z_3$ vortex wrapping the lattice through periodic boundary conditions (dual Polyakov line). The technique used is the same already tested in the SU(2) case. The dual Polyakov line proves to be a good disorder parameter for confinement, and has a similar behaviour to the monopole condensate. The new features which characterise the construction of the disorder operator in SU(3) are emphasised.
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Topological Data Analysis of Abelian Magnetic Monopoles in Gauge Theories
Topological data analysis observables built from magnetic monopole current networks reproduce the known deconfinement critical coupling in compact U(1) and SU(3) lattice gauge theory.