Detection of Center Vortices in the Lattice Yang-Mills Vacuum

Abstract

We discuss the implementation of the ``direct'' maximal center gauge (a gauge which maximizes the lattice average of the squared-modulus of the trace of link variables), and its use in identifying Z(2) center vortices in Yang-Mills vacuum configurations generated by lattice Monte Carlo. We find that center vortices identified in the vacuum state account for the full asymptotic string tension. Scaling of vortex densities with lattice coupling, change in vortex size with cooling, and sensitivity to Gribov copies is discussed. Preliminary evidence is presented, on small lattices, for center dominance in SU(3) lattice gauge theory.

28 pages including 18 figures, Latex2e

References in corpus (6)

• Casimir Scaling from Center Vortices: Towards an Understanding of the Adjoint String Tension
• Vortices and confinement at weak coupling
• Center vortices and confinement vs. screening
• Center Vortices and the Asymptotic String Tension
• Z(2) vortices and the string tension in SU(2) gauge theory
• Magnetic monopole clusters, and monopole dominance after smoothing in the maximally Abelian gauge of SU(2)

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