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The Monopole Dominance in QCD

1996/11/27 by Sergei V. Shabanov, Shabanov, Sergei V. · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9611228

plain Latex, 14 pages

arxiv created 1996/11/27 · openalex publication_date 1996/11/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A projection (gauge) independent formulation of the monopole dominance, discovered in lattice QCD for the maximal abelian projection, is given. A new dynamical abelian projection of continuum QCD, which does not rely on any explicit gauge condition imposed on gauge fields, is proposed. Under the assumption that the results of numerical simulations holds in the continuum limit, the monopole dominance is proved for the dynamical abelian projection. The latter enables us to develop an effective scalar field theory for dominant (monopole) configurations of gauge fields. The approach is manifestly gauge and Lorentz invariant.

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