Center dominance and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>Z</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>vortices in SU(2) lattice gauge theory

Debbio, Luigi Del; Faber, M.; Greensite, Jeff; Olejník, Š.

doi:10.1103/physrevd.55.2298

Cited by 327 publications

(652 citation statements)

References 15 publications

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“…An important consequence of such a finite reach of the underlying configurations is that the vortex vacuum may be able to correctly describe the Casimir scaling behavior of higher dimensional representation Wilson loops, contrary to earlier criticisms of the vortex vacuum picture [3], [4]. For such a mechanism to operate, one needs vortex diameters of one fermi or more.…”

Section: Introductionmentioning

confidence: 81%

“…Vortices are then defined and singled out by center projection (see below for details). The crucial observation of the lattice calculations [3] is that a Wilson loop which is calculated with center projected links gives rise to almost the full string tension (a related conclusion is reached in the gauge invariant approach [2] mentioned further above). This implies that the center gauge successfully concentrates the information relevant for confinement onto the vortex degrees of freedom being projected on, a state of affairs sometimes referred to as "center dominance".…”

Section: Introductionmentioning

confidence: 99%

“…In complete analogy, one can introduce so-called center gauges which bring the link variables of a given lattice configuration as close as possible to center elements of the gauge group [3]. Vortices are then defined and singled out by center projection (see below for details).…”

Section: Introductionmentioning

confidence: 99%

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Interaction of confining vortices in SU(2) lattice gauge theory

et al. 1998

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Center projection of SU(2) lattice gauge theory allows to isolate magnetic vortices as confining configurations. The vortex density scales according to the renormalization group, implying that the vortices are physical objects rather than lattice artifacts. Here, the binary correlations between points at which vortices pierce a given plane are investigated. We find an attractive interaction between the vortices. The correlations show the correct scaling behavior and are therefore physical. The range of the interaction is found to be (0.4 ± 0.2) fm, which should be compared with the average planar vortex density of approximately 2 vortices/fm 2 . We comment on the implications of these results for recent discussions of the Casimir scaling behavior of higher dimensional representation Wilson loops in the vortex confinement picture.

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Section: Introductionmentioning

confidence: 81%

Section: Introductionmentioning

confidence: 99%

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Interaction of confining vortices in SU(2) lattice gauge theory

et al. 1998

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“…At present there are two competing scenarios of confinement: condensation of monopoles [11] or center vortices [12]. The Maximally Abelian (MA) gauge is the most convenient for demonstration of the dual superconductor nature of the gluodynamics vacuum (see, e.g., [13] for a review).…”

Section: Introductionmentioning

confidence: 99%

Abelian dominance and gluon propagators in the maximally Abelian gauge of SU(2) lattice gauge theory

et al. 2003

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Propagators of the diagonal and the off-diagonal gluons are studied numerically in the Maximal Abelian gauge of SU(2) lattice gauge theory. It is found that in the infrared region the propagator of the diagonal gluon is strongly enhanced in comparison with the off-diagonal one. The enhancement factor is about 50 at our smallest momentum 325 MeV. We have also applied various fits to the propagator formfactors.

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“…On the one hand, this picture is supported by lattice simulations of SU(2) pure gauge theory [12]. On the other hand, models based on center-vortex condensation are quite successful in explaining the low-energy features of the QCD vacuum [13].…”

Section: Introductionmentioning

confidence: 51%

Gauged inflation

Hofmann

Keil

2002

Phys. Rev. D

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We propose a model for cosmic inflation which is based on an effective description of strongly interacting, nonsupersymmetric matter within the framework of dynamical Abelian projection and centerization. The underlying gauge symmetry is assumed to be SU (N + 1) with N ≫ 1. Appealing to a thermodynamical treatment, the ground-state structure of the model is classically determined by a potential for the inflaton field (dynamical monopole condensate) which allows for nontrivially BPS saturated and thereby stable solutions. For T < M P this leads to decoupling of gravity from the inflaton dynamics. The ground state dynamics implies a heat capacity for the vacuum leading to inflation for temperatures comparable to the mass scale M of the potential. The dynamics has an attractor property. In contrast to the usual slow-roll paradigm we have m ≫ H during inflation. As a consequence, density perturbations generated from the inflaton are irrelevant for the formation of large-scale structure, and the model has to be supplemented with an inflaton independent mechanism for the generation of spatial curvature perturbations. Within a small fraction of the Hubble time inflation is terminated by a transition of the theory to its center symmetric phase. The spontaneously broken Z N +1 symmetry stabilizes relic vector bosons in the epochs following inflation. These heavy relics contribute to the cold dark matter of the universe and potentially originate the UHECRs beyond the GZK bound.

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Center dominance andZ2vortices in SU(2) lattice gauge theory

Cited by 327 publications

References 15 publications

Interaction of confining vortices in SU(2) lattice gauge theory

Interaction of confining vortices in SU(2) lattice gauge theory

Abelian dominance and gluon propagators in the maximally Abelian gauge of SU(2) lattice gauge theory

Gauged inflation

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