Center Dominance in SU(2) Gauge-Higgs Theory

Details Center Dominance in SU(2) Gauge-Higgs Theory Center Dominance in SU(2) Gauge-Higgs Theory

2003-10-24

arxiv.org/abs/hep-lat/0310057v1

Phys.Rev.D69:014007,2004

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 10 figures

Scientific paper

10.1103/PhysRevD.69.014007

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.

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