Recent Results on the Abelian Projection of Lattice Gluodynamics

Abstract

The abelian projection of lattice gluodynamics is reviewed. The main topics are: abelian and monopole dominance, monopole condensate as the disorder parameter, effective abelian Lagrangian, monopoles in the instanton field, Aharonov -- Bohm effect on the lattice.

7 pages, LaTeX, 7 PS figures, Talk presented at LATTICE96

References in corpus (6)

• Quantum Field Theory of Nonabelian Strings and Vortices
• String Representation of the Abelian Higgs Theory and Aharonov-Bohm Effect on the Lattice
• Colour confinement as dual Meissner effect: $SU(2)$ gauge theory
• "Confinement Mechanism in Various Abelian Projections of $SU(2)$ Lattice Gluodynamics"
• Monopoles at Finite Volume and Temperature in SU(2) Lattice Gauge Theory
• Confinement by Monopoles in the Positive Plaquette Model of SU(2) Lattice Gauge Theory

Cited by in corpus (39)

• Periodic Instantons with non-trivial Holonomy
• Center vortices of Yang-Mills theory at finite temperatures
• On Non Perturbative Corrections to the Potential for Heavy Quarks
• Abelian Magnetic Monopole Dominance in Quark Confinement
• Yang-Mills Theory as a Deformation of Topological Field Theory, Dimensional Reduction and Quark Confinement
• The Diagonal Ghost Equation Ward Identity for Yang-Mills Theories in the Maximal Abelian Gauge
• Statistical Mechanics of semi-classical colored Objects
• Structure and Dynamics of Monopoles in Axial-Gauge QCD
• An Almost Perfect Quantum Lattice Action for Low-energy SU(2) Gluodynamics
• Phases of dual superconductivity and confinement in softly broken N=2 supersymmetric Yang-Mills theories
• The disorder parameter of dual superconductivity in QCD revisited
• String representation of SU(3) gluodynamics in the abelian projection
• Semi-analytical Proof of Abelian Dominance on Confinement in the Maximally Abelian Gauge
• Monopoles, abelian projection, and gauge invariance
• Topological Aspect of Abelian Projected SU(2) Lattice Gauge Theory
• Model independent approach to studies of the confining dual Abrikosov vortex in SU(2) lattice gauge theory
• Dirac Strings and Monopoles in the Continuum Limit of SU(2) Lattice Gauge Theory
• Microscopic coloured quark-dynamics in the soft non-perturbative regime -- Description of hadron formation in relativistic S+Au collisions at CERN
• On topological charge carried by nexuses and center vortices
• Monopoles and Gluon Fields in QCD in the Maximally Abelian Gauge
• Center vortex properties in the Laplace center gauge of SU(2) Yang-Mills theory
• Detecting monopoles on the lattice
• Lattice Study of $U_A(1)$ Anomaly: The Role of QCD-Monopoles
• Classical String Solutions in Effective Infrared Theory of SU(3) Gluodynamics
• Monopole Clustering and Color Confinement in the Multi-Instanton System
• Instanton, Monopole Condensation and Confinement
• Existence of Chiral-Asymmetric Zero Modes in the Background of QCD-Monopoles
• Extending SU(2) to SU(N) QCD
• A gauge invariant order parameter for monopole condensation in $QCD$ vacuum
• Flux tube dynamics in the dual superconductor
• Correlating confinement to topological fluctuations near the crossover transition in QCD
• Abelian representation for nonabelian Wilson loops and the Non - Abelian Stokes theorem on the lattice
• QCD Monopoles on the Lattice and Gauge Invariance
• On the influence of colour magnetic currents on the confining properties of SU(3) lattice gauge theory
• Abelian Fock-Schwinger representation for the quark propagator in external gauge field
• A Conclusive Test of Abelian Dominance Hypothesis for Topological Charge in the QCD Vacuum
• On the fermionic signature of the lattice monopoles
• Dirac monopoles embedded into SU(N) gauge theory with $\theta$ - term
• Mass Gap, Abelian Dominance and Vortex Dynamics in SU(2) Spin Model