Aspects of Electric and Magnetic Variables in SU(2) Yang-Mills Theory

Abstract

We introduce a novel decomposition of the four dimensional SU(2) gauge field. This decomposition realizes explicitely a symmetry between electric and magnetic variables, suggesting a duality picture between the corresponding phases. It also indicates that at large distances the Yang-Mills theory involves a three component unit vector field, a massive Lorentz vector field, and a neutral scalar field that condenses which yields the mass scale. Our results are consistent with the proposal that the physical spectrum of the theory contains confining strings which are tied into stable knotted solitons.

we have made substantial improvements

Cited by in corpus (59)

• Vortices with fractional flux in two-gap superconductors and in extended Faddeev model
• Hidden symmetry and knot solitons in a charged two-condensate Bose system
• Dual neutral variables and knot solitons in triplet superconductors
• Phase diagram of planar U(1)xU(1) superconductors: condensation of vortices with fractional flux and a superfluid state
• Field- and temperature induced topological phase transitions in the three-dimensional $N$-component London superconductor
• Spin-Charge Separation, Conformal Covariance and the SU(2) Yang-Mills Theory
• Glueballs, closed fluxtubes and eta(1440)
• BRST symmetry of SU(2) Yang-Mills theory in Cho--Faddeev--Niemi decomposition
• Magnetic condensation, Abelian dominance and instability of Savvidy vacuum
• Phases of bosonic strings and two dimensional gauge theories
• Andreev-Bashkin effect and knot solitons in interacting mixture of a charged and a neutral superfuids with possible releveance for neutron stars
• The Supersymmetric Extension of the Faddeev model
• Phase transition in gauge theories, monopoles and the Multiple Point Principle
• Massive Hopfions
• Nonabelian Faddeev-Niemi Decomposition of the SU(3) Yang-Mills Theory
• Classically Isospinning Hopf Solitons
• Integrability from an abelian subgroup of the diffeomorphism group
• Splitting The Gluon?
• Toroidal Solitons in Nicole-type Models
• Non-associativity, supersymmetry and hidden variables
• From Heisenberg-Euler Lagrangian to the discovery of chromomagnetic gluon condensation
• Ghost Condensates and Dynamical Breaking of SL(2,R) in Yang-Mills in the Maximal Abelian Gauge
• Inner topological structure of Hopf invariant
• Hopf solitons and Hopf Q-balls on S^3
• Integrability and Hopf Solitons in Models with Explicitly Broken O(3) Symmetry
• Yang-Mills theory in Landau gauge as a liquid crystal
• Knotlike Cosmic Strings in The Early Universe
• Dual Superconductors and SU(2) Yang-Mills
• On Solutions to the "Faddeev-Niemi" Equations
• Stability of Yang Mills Vacuum State
• Mass in Quantum Yang-Mills Theory
• Energy Bounds of Linked Vortex States
• Embedding Brans-Dicke gravity into electroweak theory
• Topological aspects of dual superconductors
• Effective sigma models and lattice Ward identities
• Magnetic condensation, Abelian dominance, and instability of Savvidy vacuum in Yang-Mills theory
• Strongly coupled Skyrme-Faddeev-Niemi hopfions
• On the Need for Phenomenological Theory of P-Vortices or Does Spaghetti Confinement Pattern Admit Condensed-Matter Analogies?
• Knotted Configurations with Arbitrary Hopf Index from the Eikonal Equation
• Abelian-Higgs model from Cho-Faddeev-Niemi decomposition
• Color Bosonization, Chiral Parametrization of Gluonic Field and QCD Effective Action
• Induced gravity from gauge theories
• Three Dimensional Gravity From SU(2) Yang-Mills Theory in Two Dimensions
• Toroidal Soliton Solutions in O(3)^N Nonlinear Sigma Model
• Yang-Mills, Complex Structures and Chern's Last Theorem
• Inner Structure of Spin^{c}(4) Gauge Potential on 4-Dimensional Manifolds
• Cho decomposition, Abelian gauge fixing and monopoles in G(2) Yang-Mills theory
• Appearance of vortices and monopoles in a decomposition of an SU(2) Yang-Mills field
• Center-vortex loops with one selfintersection
• Domain walls and gauge field localization in strongly-coupled pure Yang-Mills theories
• Generalized dual symmetry of nonabelian theories and the freezing of α_s
• Non-abelian color dielectric - towards the effective model of the low energy QCD
• Asymptotically Free Yang-Mills Classical Mechanics with Self-Linked Orbits
• Reformulation of the Georgi-Glashow model and some constraints on its classical fields
• Nontrivial Causal Structures Engendered by Knotted Solitons
• Chiral Parametrization of QCD Vector Field in SU(3)
• Skyrme-Faddeev Lagrangian from reformulated Georgi-Glashow model
• Spin-Charge Separation and the Pauli Electron
• On Lorentz Invariance, Spin-Charge Separation And SU(2) Yang-Mills Theory