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Non abelian Bianchi identities, monopoles and gauge invariance

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arxiv 1011.0371 v1 pith:FZSH6G6O submitted 2010-11-01 hep-lat hep-phhep-th

Claudio Bonati , Massimo D'Elia , Adriano Di Giacomo , Luca Lepori , Fabrizio Pucci This is my paper · ORCID
classification hep-lathep-phhep-th
keywords gaugeabelianbianchiidentitiesmonopoleschoicecondensationconnection
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A direct connection is proved between the Non-Abelian Bianchi Identities and the Abelian Bianchi identities for the 't Hooft tensor in a generic gauge; the existence of a magnetic current is related to the violation of NABI's. Using this relation it is shown that not all gauges are equivalent to detect monopoles on the lattice, that e.g. the Maximal Abelian Gauge is a legitimate choice while the Landau gauge is not. Nevertheless monopole condensation is found to be a gauge invariant property.

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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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