The disorder parameter of dual superconductivity in QCD revisited
Claudio Bonati, Guido Cossu, Massimo D'Elia, Adriano Di Giacomo

TL;DR
This paper identifies issues with previous disorder parameters used to detect dual superconductivity in QCD vacuum and introduces an improved parameter, validated through SU(2) gauge theory simulations, confirming deconfinement as a transition from dual superconductor to normal.
Contribution
The paper presents a new, improved disorder parameter for detecting dual superconductivity in QCD vacuum, resolving previous pathologies and validated by numerical simulations.
Findings
The improved disorder parameter is consistent with theoretical expectations.
Deconfinement corresponds to a transition from dual superconductivity to normal state.
Numerical simulations support the validity of the new approach.
Abstract
We discover the origin of the pathologies of the disorder parameter used in previous papers to detect dual superconductivity of QCD vacuum, and we remove them by defining an improved disorder parameter. A check of the approach is made by numerical simulations of SU(2) gauge theory, which demonstrate that the approach is consistent and with it that deconfinement is a transition from dual superconductor to normal.
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