Abelian dominance in low-energy Gluodynamics due to dynamical mass generation
arXiv:hep-th/0004158 · doi:10.1016/S0370-2693(00)01028-5
Abstract
We show that off-diagonal gluons and off-diagonal ghosts acquire their masses dynamically in QCD if the maximal Abelian gauge is adopted. This result strongly supports the Abelian dominance in low-energy region of QCD. The mass generation is shown to occur due to ghost-anti-ghost condensation caused by attractive quartic ghost interactions within the Abelian projected effective gauge theory (derived by one of the authors). In fact, the quartic ghost interaction is indispensable for the renormalizability due to nonlinearity of the maximal Abelian gauge. The ghost-anti-ghost condensation is associated with the spontaneous breaking of global SL(2,R) symmetry recently found by Schaden at least for SU(2) case. Moreover we write down a new extended BRS algebra in the maximal Abelian gauge which should be compared with that of Nakanishi-Ojima for the Lorentz gauge. Finally, we argue that the mass generation may be related to the spontaneous breaking of a supersymmetry hidden in the maximal Abelian gauge.
15 pages, 2 figures, version to be published in Phys. Lett. B
Cited by in corpus (53)
- Three loop MSbar renormalization of the Curci-Ferrari model and the dimension two BRST invariant composite operator in QCD
- Abelian dominance and gluon propagators in the Maximally Abelian gauge of SU(2) lattice gauge theory
- An analytic study of the off-diagonal mass generation for Yang-Mills theories in the maximal Abelian gauge
- Renormalizing a BRST-invariant composite operator of mass dimension 2 in Yang-Mills theory
- Infrared Features of the Landau Gauge QCD
- M-Theory on Deformed Superspace
- Two loop effective potential for < A^2_μ> in the Landau gauge in quantum chromodynamics
- Magnetic condensation, Abelian dominance and instability of Savvidy vacuum
- The Diagonal Ghost Equation Ward Identity for Yang-Mills Theories in the Maximal Abelian Gauge
- Spontaneous Breaking of Lorentz Symmetry by Ghost Condensation in Perturbative Quantum Gravity
- On ghost condensation, mass generation and Abelian dominance in the Maximal Abelian Gauge
- A physical meaning of mixed gluon--ghost condensate of mass dimension two
- On the SL(2,R) symmetry in Yang-Mills Theories in the Landau, Curci-Ferrari and Maximal Abelian Gauge
- BRST and Anti-BRST Symmetries in Perturbative Quantum Gravity
- Gluon-ghost condensate of mass dimension 2 in the Curci-Ferrari gauge
- Gauge Theories, D-Branes and Holography
- More on ghost condensation in Yang-Mills theory: BCS versus Overhauser effect and the breakdown of the Nakanishi-Ojima annex SL(2,R) symmetry
- Complex poles and spectral functions of Landau gauge QCD and QCD-like theories
- Deconfinement to Confinement as PT phase transition
- Spontaneous Breaking of the BRST Symmetry in the ABJM theory
- Three loop MSbar renormalization of QCD in the maximal abelian gauge
- The Most General and Renormalizable Maximal Abelian Gauge
- Noether's Charge in the Super-Group Field Cosmology
- Ghost condensation on the lattice
- Ghost condensates in Yang-Mills theories in the Landau gauge
- The `BRST-invariant' Condensate of Dimension Two in QCD
- Ghost Condensates and Dynamical Breaking of SL(2,R) in Yang-Mills in the Maximal Abelian Gauge
- Infra-red Abelian dominance without Abelian-projection
- Ghost condensates in Yang-Mills theories in nonlinear gauges
- Abelian projected SU(2) Yang-Mills action for renormalisation group flows
- Renormalizable Abelian-projected effective gauge theory derived from Quantum Chromodynamics II
- A combined study of the gluon and ghost condensates <A^2> and <epsilon^{abc} cbar^b c^c> in Euclidean SU(2) Yang-Mills theory in the Landau gauge
- Boundary Effects in Super-Yang-Mills Theory
- Weak gauge-invariance of dimension two condensate in Yang-Mills theory
- One loop renormalization of the non-local gauge invariant operator min_U (A^U_mu)^2 in QCD
- Partial Gauge Fixing and Equivariant Cohomology
- The unphysical nature of the SL(2,R) symmetry and its associated condensates in Yang-Mills theories
- Nonperturbative ghost dynamics in the maximal Abelian gauge
- MOM renormalization group functions in the maximal abelian gauge
- Renormalization group aspects of the local composite operator method
- Lattice QCD Green's functions in maximally Abelian gauge: infrared Abelian dominance and the quark sector
- Infrared and ultraviolet asymptotic solutions to gluon and ghost propagators in Yang-Mills theory
- Vacuum Condensates of Dimension Two in Pure Euclidean Yang-Mills
- A formulation of the Yang-Mills theory as a deformation of a topological field theory based on background field method and quark confinement problem
- Spontaneous breaking of nilpotent symmetry in boundary BLG theory
- Abelian Projection of Massive SU(2) Yang-Mills Theory
- Effects of a quark chemical potential on the analytic structure of the gluon propagator
- Massive dual gauge field and confinement in Minkowski space : Electric charge
- Consistent power corrections to ultraviolet asymptotic solutions in Yang-Mills theory
- Understanding the U(1) problem through dyon configuration in the Abelian projection
- Perturbative static quark potential in Maximal Abelian gauge
- Remarks on monopoles in Abelian projected continuum Yang-Mills theories
- Numerical study of gluon propagators in Maximally Abelian gauge