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Abelian Projections and Monopoles

1997/10/27 by M. N. Chernodub, M. I. Polikarpov, Chernodub, M. N. +2 · 2 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Mathematics and Applications #Microtubule and mitosis dynamics #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9710205

34 pages, LaTeX, 23 figures, uses epsf.sty and epsfig.sty; Lectures given by Mikhail Polikarpov at the Workshop "Confinement, Duality and Non-Perturbative Aspects of QCD", Cambridge (UK), 24 June - 4 July 1997; figures are rearranged

openalex publication_date 1997/10/27 · arxiv created 1997/11/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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