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A gauge-independent mechanism for confinement and mass gap: Part 2. G=SU(2) and D=3

2009/08/13 by J. Wade Cherrington · 4 citations
Engineering · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Coupling (piping) #Engineering #Gauge (firearms) #Gauge group #Gauge theory #Hamiltonian lattice gauge theory #Lattice (music) #Lattice field theory #Lattice gauge theory #Mathematical physics #Mathematics #Mechanical engineering #Mechanism (biology) #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scroll #hep-lat

paper · pdf · doi:10.1016/j.nuclphysb.2010.02.018

published in Nuclear Physics B 835(1-2), 51-74 (Elsevier BV) · 18 pages, 3 figures

arxiv created 2009/08/13 · openalex publication_date 2010/02/21 · arxiv updated 2010/05/07 · openalex created_date 2017/03/16 · openalex updated_date 2026/08/05

Abstract

We apply to the case of gauge group G=SU(2) in three dimensions a recently proposed gauge-independent mechanism for confinement that is based on a particular form of the dual spin foam framework for lattice gauge theory. Explicit formulae for interaction factors and their asymptotics are introduced and their behavior in different sectors of the theory are identified and analyzed. We arrive at several elementary properties of the dual theory that represent one scenario by which confinement may be realized at weak coupling. We conclude with an outlook for further development of this approach.

Citations