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Cho-Duan-Ge decomposition of QCD in the constraintless Clairaut-type formalism

2014/11/30 by Michael L. Walker, Steven Duplij · 8 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Commutation #Equations of motion #Formalism (music) #Magnetic monopole #Mathematical physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Theoretical physics #Voltage #hep-th #math-ph #math.MP #msc:37J05 #msc:37K05 #msc:70H45 #msc:81V05

paper · pdf · doi:10.1103/physrevd.91.064022

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 91(6) (American Physical Society) · 10 pages, RevTeX 4.1

openalex publication_date 2015/03/09 · arxiv created 2015/03/15 · arxiv updated 2015/03/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We apply the recently derived constraintless Clairaut-type formalism to the Cho-Duan-Ge decomposition in SU(2) QCD. We find nontrivial corrections to the physical equations of motion and that the contribution of the topological degrees of freedom is qualitatively different from that found by treating the monopole potential as though it were dynamic. We also find alterations to the field commutation relations that undermine the particle interpretation in the presence of the chromomonopole condensate.

Citations

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