Center flux correlation in SU(2) Yang-Mills theory

Abstract

By using the method of center projection the center vortex part of the gauge field is isolated and its propagator is evaluated in the center Landau gauge, which minimizes the open 3-dimensional Dirac volumes of non-trivial center links bounded by the closed 2-dimensional center vortex surfaces. The center field propagator is found to dominate the gluon propagator (in Landau gauge) in the low momentum regime and to give rise to an OPE correction to the latter of $\sqrt{\sigma }/p^3$.The screening mass of the center vortex field vanishes above the critical temperature of the deconfinement phase transition, which naturally explains the second order nature of this transition consistent with the vortex picture. Finally, the ghost propagator of maximal center gauge is found to be infrared finite and thus shows that the coset fields play no role for confinement.

arXiv comment4 pages, 4 figures

References in corpus (17)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• The Confinement Problem in Lattice Gauge Theory
• Center Dominance and Z2 Vortices in SU(2) Lattice Gauge Theory
• On the relevance of center vortices to QCD
• Deconfinement in SU(2) Yang-Mills theory as a center vortex percolation transition
• Confinement and scaling of the vortex vacuum of SU(2) lattice gauge theory
• Center Projection Vortices in Continuum Yang-Mills Theory
• Propagators and running coupling from SU(2) lattice gauge theory
• Center vortices of Yang-Mills theory at finite temperatures
• Topology of Center Vortices
• Center Vortices and the Gribov Horizon
• Signals of confinement in Green functions of SU(2) Yang-Mills theory
• Three dimensional vacuum domains in four dimensional SU(2) gluodynamics
• Aharonov-Bohm effect, Center Monopoles and Center Vortices in SU(2) Lattice Gluodynamics
• Vortex critical behavior at the de-confinement phase transition
• A novel probe of the vacuum of the lattice gluodynamics
• Gribov horizon under the (lattice) microscope

Cited by in corpus (4)

• Dielectric function of the QCD vacuum
• Center vortices and the quark propagator in SU(2) gauge theory
• A first look at Landau-gauge propagators in G2 Yang-Mills theory
• The role of center vortices in Gribov's confinement scenario