Monopole clusters, center vortices, and confinement in a Z(2) gauge-Higgs system

Abstract

We propose to use the different kinds of vacua of the gauge theories coupled to matter as a laboratory to test confinement ideas of pure Yang-Mills theories. In particular, the very poor overlap of the Wilson loop with the broken string states supports the 't Hooft and Mandelstam confinement criteria. However in the Z(2) gauge-Higgs model we use as a guide we find that the condensation of monopoles and center vortices is a necessary, but not sufficient condition for confinement.

13 pages, 6 figures, minor changes, version to be published on Phys. Rev. D

References in corpus (3)

• Zero temperature string breaking in lattice quantum chromodynamics
• Large center vortices and confinement in 3D Z(2) gauge theory
• Vortices in the SU(2)-Higgs model -- Vortices and the covariant adjoint Laplacian

Cited by in corpus (9)

• Observing string breaking with Wilson loops
• Center Dominance in SU(2) Gauge-Higgs Theory
• Overlap of the Wilson loop with the broken-string state
• The decay of unstable k-strings in SU(N) gauge theories at zero and finite temperature
• Determination of monopole condensate from monopole action in quenched SU(2) QCD
• The functional form of open Wilson lines in gauge theories coupled to matter
• Digital quantum simulation and Pseudoquantum Simulation of ${\mathbb{Z}}_2$ Gauge Higgs Model
• (Four) Dual Plaquette 3D Ising Models
• Scalar gauge-Higgs models with discrete Abelian symmetry groups