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Detecting Dual Superconductivity in the Ground State of Gauge Theory

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arxiv hep-lat/9403013 v1 pith:XDMAD7UL submitted 1994-03-11 hep-lat hep-th

L. Del Debbio A. Di Giacomo , G. Paffuti This is my paper · ORCID
classification hep-lathep-th
keywords dualoperatorsuperconductivitygaugemonopoletheoryvacuumbreaking
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abstract

We explicitly construct a monopole creation operator: its vacuum expectation value is an order parameter for dual superconductivity, in that, if different from zero, it signals a spontaneous breaking of the $U(1)$ symmetry corresponding to monopole charge conservation. This operator is tested by numerical simulations in compact $U(1)$ gauge theory. Our construction provides a general recipe for detection of the condensation of any topological soliton. In particular our operator can be used to detect dual superconductivity of the QCD vacuum.

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  1. Topological Data Analysis of Abelian Magnetic Monopoles in Gauge Theories

    hep-lat 2025-01 conditional novelty 5.0 of 10

    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.

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