2006/08/17 by Ludvig D. Faddeev, Ludvig Faddeev, Antti J. Niemi · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Central charge #Charge (physics) #Conformal map #Conformal symmetry #Covariant transformation #Gauge theory #General covariance #General relativity #Massless particle #Mathematical physics #Mathematics #Minkowski space #Noncommutative and Quantum Gravity Theories #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Spin (aerodynamics) #cond-mat.str-el #gr-qc #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2006.12.011
published as Nucl.Phys.B776:38-65,2007 · some misprints in equations corrected
arxiv created 2006/08/17 · openalex publication_date 2006/12/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In the low energy domain of four-dimensional SU(2) Yang-Mills theory the spin and the charge of the gauge field can become separated from each other. The ensuing field variables describe the interacting dynamics between a version of the O(3) nonlinear σ-model and a nonlinear Grassmannian σ-model, both of which may support closed knotted strings as stable solitons. Lorentz transformations act projectively in the O(3) model which breaks global internal rotation symmetry and removes massless Goldstone bosons from the particle spectrum. The entire Yang-Mills Lagrangian can be recast into a generally covariant form with a conformally flat metric tensor. The result contains the Einstein-Hilbert Lagrangian together with a nonvanishing cosmological constant, and insinuates the presence of a novel dimensionfull parameter in the Yang-Mills theory.