Center Dominance in SU(2) Gauge-Higgs Theory

Abstract

We study the SU(2) gauge-Higgs system in D=4 dimensions, and analyze the influence of the fundamental-representation Higgs field on the vortex content of the gauge field. It is shown that center projected Polyakov lines, at low temperature, are finite in the infinite volume limit, which means that the center vortex distribution is consistent with color screening. In addition we confirm and further investigate the presence of a "Kertesz-line" in the strong-coupling region of the phase diagram, which we relate to the percolation properties of center vortices. It is shown that this Kertesz-line separates the gauge-Higgs phase diagram into two regions: a confinement-like region, in which center vortices percolate, and a Higgs region, in which they do not. The free energy of the gauge-Higgs system, however, is analytic across the Kertesz line.

arXiv comment7 pages, 10 figures

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Cited by in corpus (17)

• Coulomb Energy, Remnant Symmetry, and the Phases of Non-Abelian Gauge Theories
• Center Vortices and the Gribov Horizon
• Phase diagram of the lattice SU(2) Higgs model
• A confinement criterion for gauge theories with matter fields
• Kertesz Line in the Three-Dimensional Compact U(1) Lattice Higgs Model
• Generation of confinement and other nonperturbative effects by infrared gluonic degrees of freedom
• Percolation of Vortices in the 3D Abelian Lattice Higgs Model
• A first look at Landau-gauge propagators in G2 Yang-Mills theory
• What symmetry is actually broken in the Higgs phase of a gauge-Higgs theory?
• Vortices, Symmetry Breaking, and Temporary Confinement in SU(2) Gauge-Higgs Theory
• Kertesz line and embedded monopoles in QCD
• ${\mathbb{Z}}_N$ lattice gauge theory in a ladder geometry
• Center phase transition from matter propagators in (scalar) QCD
• Numerical indication that center vortices drive dynamical mass generation in QCD
• Embedded monopoles in quark eigenmodes in SU(2) Yang-Mills Theory
• Eigenmodes of covariant Laplacian in SU(2) Yang-Mills vacuum: higher representations
• Remnant Symmetry and the Confinement Phase in Coulomb Gauge