Center dominance in SU(2) gauge-Higgs theory

Bertle, Roman; Faber, M.; Greensite, Jeff; Olejník, Š.

doi:10.1103/physrevd.69.014007

Cited by 28 publications

(25 citation statements)

References 21 publications

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“…Rather, it is most likely a Kertész line, of the sort found in the Ising model at finite external magnetic field, which identifies a percolation transition [12]. In the gauge-Higgs case, the objects which percolate in the confinement-like phase, and cease to percolate in the Higgs phase, turn out to be center vortices [13] (see also [14,15]). …”

Section: Gauge-higgs Theorymentioning

confidence: 99%

Center vortices and the Gribov horizon

Greensite

Olejník

Zwanziger

2005

J. High Energy Phys.

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154

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We show how the infinite color-Coulomb energy of color-charged states is related to enhanced density of near-zero modes of the Faddeev-Popov operator, and calculate this density numerically for both pure Yang-Mills and gauge-Higgs systems at zero temperature, and for pure gauge theory in the deconfined phase. We find that the enhancement of the eigenvalue density is tied to the presence of percolating center vortex configurations, and that this property disappears when center vortices are either removed from the lattice configurations, or cease to percolate. We further demonstrate that thin center vortices have a special geometrical status in gauge-field configuration space: Thin vortices are located at conical or wedge singularities on the Gribov horizon. We show that the Gribov region is itself a convex manifold in lattice configuration space. The Coulomb gauge condition also has a special status; it is shown to be an attractive fixed point of a more general gauge condition, interpolating between the Coulomb and Landau gauges.

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Section: Gauge-higgs Theorymentioning

confidence: 99%

Center vortices and the Gribov horizon

Greensite

Olejník

Zwanziger

2005

J. High Energy Phys.

Self Cite

154

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“…The presence of the Kertész line in this non-Abelian model has been further numerically investigated and confirmed in Ref. [15]. While the concept of a Kertész line was originally introduced in the context of lattice gauge theories in Ref.…”

Section: Introductionmentioning

confidence: 98%

Percolation of vortices in the 3D Abelian lattice Higgs model

et al. 2008

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The compact Abelian Higgs model is simulated on a cubic lattice where it possesses vortex lines and pointlike magnetic monopoles as topological defects. The focus of this high-precision Monte Carlo study is on the vortex network, which is investigated by means of percolation observables. In the region of the phase diagram where the Higgs and confinement phases are separated by a first-order transition, it is shown that the vortices percolate right at the phase boundary, and that the first-order nature of the transition is reflected by the network. In the crossover region, where the phase boundary ceases to be first order, the vortices are shown to still percolate. In contrast to other observables, the percolation observables show finite-size scaling. The exponents characterizing the critical behavior of the vortices in this region are shown to fall in the random percolation universality class.

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“…• Vortices and Higgs fields: Extracting center projection vortices from an SU (2)-Higgs ensemble, no vortex percolation is observed in the Higgs (screening) phase [48].…”

Section: Results Of Lattice Studiesmentioning

confidence: 99%

Generation of confinement and other nonperturbative effects by infrared gluonic degrees of freedom

Engelhardt

2005

Nuclear Physics B - Proceedings Supplements

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Recent progress in understanding the emergence of confinement and other nonperturbative effects in the strong interaction vacuum is reviewed. Special emphasis is placed on the role of different types of collective infrared gluonic degrees of freedom in this respect. After a survey of complementary approaches, models of the QCD vacuum based on center vortices, Abelian magnetic monopoles and topological charge lumps such as instantons, merons and calorons are examined. Both the physical mechanisms governing these models as well as recent lattice studies of the respective degrees of freedom are reviewed.

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Center dominance in SU(2) gauge-Higgs theory

Cited by 28 publications

References 21 publications

Center vortices and the Gribov horizon

Center vortices and the Gribov horizon

Percolation of vortices in the 3D Abelian lattice Higgs model

Generation of confinement and other nonperturbative effects by infrared gluonic degrees of freedom

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