Abelian Projections and Monopoles

M. I. Polikarpov; M. N. Chernodub

Abelian Projections and Monopoles

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arxiv hep-th/9710205 v3 pith:HWJVHJK7 submitted 1997-10-27 hep-th hep-lathep-ph

M. N. Chernodub , M. I. Polikarpov This is my paper · ORCID

classification hep-thhep-lathep-ph

keywords abelianlatticegaugemonopolesprojectionadditionallybrieflyconfinement

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The monopole confinement mechanism in the abelian projection of lattice gluodynamics is reviewed. The main topics are: the abelian projection on the lattice and in the continuum, a numerical study of the abelian monopoles in the lattice gauge theory. Additionally, we briefly review the notation of differential forms, duality, and the BKT transformation in the lattice gauge theories.

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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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