Compact lattice formulation of Cho-Faddeev-Niemi decomposition: gluon mass generation and infrared Abelian dominance

Abstract

This paper complements a new lattice formulation of SU(2) Yang-Mills theory written in terms of new variables in a compact form proposed in the previous paper. The new variables used in the formulation were once called the Cho--Faddeev--Niemi or Cho--Faddeev--Niemi--Shabanov decomposition. Our formulation enables us to explain the infrared ``Abelian'' dominance, in addition to magnetic monopole dominance shown in the previous paper, in the gauge invariant way without relying on the specific gauge fixing called the maximal Abelian gauge used in the conventional investigations. In this paper, especially, we demonstrate by numerical simulations that gluon degrees of freedom other than the ``Abelian'' part acquire the mass to be decoupled in the low-energy region leading to the infrared Abelian dominance.

arXiv comment14 pages 5 figures,[v2]explanations added and improved, a reference added

References in corpus (14)

• Partially Dual variables in SU(2) Yang-Mills Theory
• String Tension from Monopoles in SU(2) Lattice Gauge Theory
• Monopoles and string tension in SU(2) QCD
• An effective action for monopoles and knot solitons in Yang-Mills theory
• Off-diagonal Gluon Mass Generation and Infrared Abelian Dominance in the Maximally Abelian Gauge in Lattice QCD
• Yang-Mills theory as an Abelian theory without gauge fixing
• Abelian dominance and gluon propagators in the Maximally Abelian gauge of SU(2) lattice gauge theory
• 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
• Lattice construction of Cho-Faddeev-Niemi decomposition and gauge invariant monopole
• Yang-Mills theory constructed from Cho--Faddeev--Niemi decomposition
• The Dual Meissner Effect and Magnetic Displacement Currents
• Compact lattice formulation of Cho-Faddeev-Niemi decomposition: string tension from magnetic monopoles
• Topological Content of the Electroweak Sphaleron on the Lattice

Cited by in corpus (31)

• 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
• High Precision Statistical Landau Gauge Lattice Gluon Propagator Computation vs. the Gribov-Zwanziger approach
• Finite Energy Electroweak Dyon
• Reformulating SU(N) Yang-Mills theory based on change of variables
• Wilson loop and magnetic monopole through a non-Abelian Stokes theorem
• A low-energy effective Yang-Mills theory for quark and gluon confinement
• QCD effective potential with strong U(1)_{em} magnetic fields
• New descriptions of lattice SU(N) Yang-Mills theory towards quark confinement
• Dimensional Transmutation by Monopole Condensation in QCD
• Non-Abelian Dual Superconductor Picture for Quark Confinement
• Gauge-invariant description of Higgs phenomenon and quark confinement
• 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 "Abelian" and magnetic-monopole dominance, and the dual Meissner effect in lattice $SU(2)$ Yang-Mills theory
• Non-Abelian dual superconductivity in SU(3) Yang-Mills theory: dual Meissner effect and type of the vacuum
• Proving Abelian dominance in the Wilson loop operator
• Nucleon Spin in QCD: Old Crisis and New Resolution
• $H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts
• Stability of chromomagnetic condensation and mass generation for confinement in SU(2) Yang-Mills theory
• Magnetic Monopole Loops supported by a Meron pair as the Quark Confiner
• Lattice QCD Green's functions in maximally Abelian gauge: infrared Abelian dominance and the quark sector
• Magnetic monopoles in pure $SU(2)$ Yang--Mills theory with a gauge-invariant mass
• Jackiw-Nohl-Rebbi two-instanton as a source of magnetic monopole loop
• Abelian Decomposition and Weyl Symmetric Effective Action of SU(3) QCD
• Composite operator and condensate in the $SU(N)$ Yang-Mills theory with $U(N-1)$ stability group
• Dyon in the $SU(2)$ Yang--Mills theory with a gauge-invariant gluon mass toward quark confinement
• Experimental Verification of Two types of Gluon Jets in QCD
• Reformulations of the Yang-Mills theory toward quark confinement and mass gap
• Discriminating between two reformulations of SU(3) Yang-Mills theory on a lattice
• Confinement/deconfinement transition temperature from the Polyakov loop potential and gauge-invariant gluon mass