BRST symmetry of SU(2) Yang-Mills theory in Cho--Faddeev--Niemi decomposition
arXiv:hep-th/0504198 · doi:10.1140/epjc/s2005-02344-4
Abstract
We determine the nilpotent BRST and anti-BRST transformations for the Cho--Faddeev-Niemi variables for the SU(2) Yang-Mills theory based on the new interpretation given in the previous paper of the Cho--Faddeev-Niemi decomposition. This gives a firm ground for performing the BRST quantization of the Yang--Mills theory written in terms of the Cho--Faddeev-Niemi variables. We propose also a modified version of the new Maximal Abelian gauge which could play an important role in the reduction to the original Yang-Mills theory.
11 pages, no figure; Introduction improved, 3 references added
References in corpus (1)
Cited by in corpus (40)
- Quark confinement: dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang-Mills theory
- Toward a first-principle derivation of confinement and chiral-symmetry-breaking crossover transitions in QCD
- Gauge-invariant gluon mass, infrared Abelian dominance and stability of magnetic vacuum
- Compact lattice formulation of Cho-Faddeev-Niemi decomposition: gluon mass generation and infrared Abelian dominance
- Wilson loop and magnetic monopole through a non-Abelian Stokes theorem
- A low-energy effective Yang-Mills theory for quark and gluon confinement
- Aspects of finite field-dependent symmetry in SU(2) Cho-Faddeev-Niemi decomposition
- Compact lattice formulation of Cho-Faddeev-Niemi decomposition: string tension from magnetic monopoles
- New descriptions of lattice SU(N) Yang-Mills theory towards quark confinement
- Knot Topology of QCD Vacuum
- Non-Abelian Dual Superconductor Picture for Quark Confinement
- Gauge-invariant description of Higgs phenomenon and quark confinement
- Nonabelian Faddeev-Niemi Decomposition of the SU(3) Yang-Mills Theory
- Glueball mass from quantized knot solitons and gauge-invariant gluon mass
- Center vortices as sources of Abelian dominance in pure SU(2) Yang-Mills theory
- Non-Abelian dual superconductivity in SU(3) Yang-Mills theory: dual Meissner effect and type of the vacuum
- Gauge-independent "Abelian" and magnetic-monopole dominance, and the dual Meissner effect in lattice Yang-Mills theory
- The exact decomposition of gauge variables in lattice Yang-Mills theory
- Magnetic monopoles and center vortices as gauge-invariant topological defects simultaneously responsible for confinement
- Gauge-independent Brout-Englert-Higgs mechanism and Yang-Mills theory with a gauge-invariant gluon mass term
- A Faddeev-Niemi Solution that Does Not Satisfy Gauss' Law
- New Interpretation of Skyrme Theory
- Derivation of an Abelian effective model for instanton chains in 3D Yang-Mills theory
- Stability of chromomagnetic condensation and mass generation for confinement in SU(2) Yang-Mills theory
- Cho-Duan-Ge decomposition of QCD in the constraintless Clairaut-type formalism
- Magnetic Monopole Loops supported by a Meron pair as the Quark Confiner
- Magnetic monopoles in pure Yang--Mills theory with a gauge-invariant mass
- How to get rid of Dirac worldsheets in the Cho-Fadeev-Niemi representation of SU(2) Yang-Mills theory
- Jackiw-Nohl-Rebbi two-instanton as a source of magnetic monopole loop
- Extending SU(2) to SU(N) QCD
- Stability of the Magnetic Monopole Condensate in three- and four-colour QCD
- Dirac Quantization of Restricted QCD
- Composite operator and condensate in the Yang-Mills theory with stability group
- Gauge-covariant decomposition and magnetic monopole for G(2) Yang-Mills field
- Double-winding Wilson loops in SU(N) lattice Yang-Mills gauge theory
- Knots in Physics
- Gauge gravity vacuum in constraintless Clairaut-type formalism
- How to extract the dominant part of the Wilson loop average in higher representations
- Dyon in the Yang--Mills theory with a gauge-invariant gluon mass toward quark confinement
- Gluonic Colour Singlets in QCD