QCD versus Skyrme-Faddeev Theory
arXiv:hep-th/0105163 · doi:10.1103/PhysRevD.65.025005
Abstract
We discuss the physical impacts of the ``Cho decomposition'' (or the ``Cho-Faddeev-Niemi-Shabanov decomposition'') of the non-Abelian gauge potential on QCD. We show how the decomposition makes a subtle but important modification on the non-Abelian dynamics, and present three physically equivalent quantization schemes of QCD which are consistent with the decomposition. In particular, we show that the decomposition enlarges the dynamical degrees of QCD by making the topological degrees of the non-Abelian gauge symmetry dynamical. Furthermore with the decomposition we show that the Skyrme-Faddeev theory of non-linear sigma model and QCD have almost identical topological structures. In specific we show that an essential ingredient in both theories is the Wu-Yang type non-Abelian monopole, and that the Faddeev-Niemi knots of the Skyrme-Faddeev theory can actually be interpreted to describe the multiple vacua of the SU(2) QCD. Finally we argue that the Skyrme-Faddeev theory is, just like QCD, a theory of confinement which confines the magnetic flux of the monopoles.
15 pages
References in corpus (1)
Cited by in corpus (49)
- 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
- Quark confinement: dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang-Mills theory
- Color Reflection Invariance and Monopole Condensation in QCD
- Gauge-invariant gluon mass, infrared Abelian dominance and stability of magnetic vacuum
- BRST symmetry of SU(2) Yang-Mills theory in Cho--Faddeev--Niemi decomposition
- Magnetic condensation, Abelian dominance and instability of Savvidy vacuum
- Aspects of finite field-dependent symmetry in SU(2) Cho-Faddeev-Niemi decomposition
- Fractional topological phase for entangled qudits
- Monopole Condensation and Dimensional Transmutation in SU(2) QCD
- Andreev-Bashkin effect and knot solitons in interacting mixture of a charged and a neutral superfuids with possible releveance for neutron stars
- Knot Topology of QCD Vacuum
- Dimensional Transmutation by Monopole Condensation in QCD
- Nonabelian Faddeev-Niemi Decomposition of the SU(3) Yang-Mills Theory
- Center vortices as sources of Abelian dominance in pure SU(2) Yang-Mills theory
- Reinterpretation of Faddeev-Niemi Knot in Skyrme Theory
- Chromoelectric Knot in QCD
- Nucleon Spin in QCD: Old Crisis and New Resolution
- U(1) effective confinement theory from SU(2) restricted gauge theory via the Julia-Toulouse Approach
- Regularization of Electroweak Monopole by Charge Screening and BPS Energy Bound
- New Interpretation of Skyrme Theory
- Cho-Duan-Ge decomposition of QCD in the constraintless Clairaut-type formalism
- Nonlinearity and Topology
- Abelian Decomposition and Glueball-Quarkonium Mixing in QCD
- Effective confinement theory from Abelian variables in SU(3) gauge theory
- Large Dual Transformations and the Petrov-Diakonov Representation of the Wilson Loop
- Magnetic monopoles in pure Yang--Mills theory with a gauge-invariant mass
- Hopfion canonical quantization
- Non-Abelian Superconductivity
- Extending SU(2) to SU(N) QCD
- Abelian-Higgs model from Cho-Faddeev-Niemi decomposition
- Abelian Decomposition and Weyl Symmetric Effective Action of SU(3) QCD
- How to get rid of Dirac worldsheets in the Cho-Fadeev-Niemi representation of SU(2) Yang-Mills theory
- Stability of the Magnetic Monopole Condensate in three- and four-colour QCD
- Color Bosonization, Chiral Parametrization of Gluonic Field and QCD Effective Action
- Dirac Quantization of Restricted QCD
- Gauge-covariant decomposition and magnetic monopole for G(2) Yang-Mills field
- Composite operator and condensate in the Yang-Mills theory with stability group
- Skyrme and Faddeev models in the low-energy limit of 4d Yang-Mills-Higgs theories
- Appearance of vortices and monopoles in a decomposition of an SU(2) Yang-Mills field
- Reformulation of the Georgi-Glashow model and some constraints on its classical fields
- Gauge gravity vacuum in constraintless Clairaut-type formalism
- How to extract the dominant part of the Wilson loop average in higher representations
- Experimental Verification of Two types of Gluon Jets in QCD
- Detection of monopoles and vortices in SU(2) Yang-Mills theory
- Vacuum and Symmetry Breaking: New Approach
- Gluonic Colour Singlets in QCD