Monopole content of topological clusters: Have Kraan-van Baal calorons been found?

Ilgenfritz, E. M.; Martemyanov, B. V.; Müller–Preussker, M.; Veselov, A.I.

doi:10.1103/physrevd.71.034505

Cited by 22 publications

(14 citation statements)

References 37 publications

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“…In IMCG, the situation for dyon charge induced vortices is rather stable: we find always a space-time vortex connecting the dyons or better to say the Abelian monopoles representing the dyons in MAG [8,32]. Similar to the LCG doublet case two vortex lines pass near the center of mass of the caloron.…”

Section: E Results From Maximal Center Gaugesmentioning

confidence: 92%

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Vortex structure ofSU(2)calorons

et al. 2010

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We reveal the center vortex content of SUð2Þ calorons and ensembles of them. We use Laplacian center gauge as well as maximal center gauges to show that the vortex in a single caloron consists of two parts. The first one connects the constituent dyons of the caloron (which are monopoles in Laplacian Abelian gauge) and extends in time. The second part is predominantly spatial, encloses one of the dyons and can be related to the twist in the caloron gauge field. This part depends strongly on the caloron holonomy and degenerates to a plane when the holonomy is maximally nontrivial, i.e. when the asymptotic Polyakov loop is traceless. Correspondingly, we find the spatial vortices in caloron ensembles to percolate in this case. This finding fits perfectly in the confinement scenario of vortices and shows that calorons are suitable to facilitate the vortex confinement mechanism.

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Section: E Results From Maximal Center Gaugesmentioning

confidence: 92%

“…Far away from the caloron's dyons, however, the ''hedgehog'' È is not ''combed'' completely and there is no need for a singularity. 8 In other words the covering of the color space happens in an exponentially small but finite solid angle.…”

Section: B the Twistmentioning

confidence: 99%

Vortex structure ofSU(2)calorons

et al. 2010

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“…Applying naively the simple sum-ansatz (14) would induce an interaction between calorons even at infinite separations. This is the first caloron-specific problem appearing in superpositions.…”

Section: Superposing Calorons: a First Approach And Its Problemsmentioning

confidence: 99%

“…The emphasis is put on gases or liquids of calorons and anticalorons. The main motivation for this development came from lattice studies [12,13,14,15], stimulated by the knowledge of the basic features of the new caloron solutions. These lattice studies aimed at and were successfully identifying structures resembling instantons or calorons in ab-initio Monte Carlo gauge fields, in a similar spirit as earlier instanton (caloron) searches at zero (non-zero) temperature [16,17,18].…”

Section: Introductionmentioning

confidence: 99%

Improved superposition schemes for approximate multi-caloron configurations

2007

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Two improved superposition schemes for the construction of approximate multi-caloronanticaloron configurations, using exact single (anti)caloron gauge fields as underlying building blocks, are introduced in this paper. The first improvement deals with possible monopole-Dirac string interactions between different calorons with non-trivial holonomy. The second one, based on the ADHM formalism, improves the (anti-)selfduality in the case of small caloron separations. It conforms with Shuryak's well-known ratio-ansatz when applied to instantons. Both superposition techniques provide a higher degree of (anti-)selfduality than the widely used sum-ansatz, which simply adds the (anti)caloron vector potentials in an appropriate gauge. Furthermore, the improved configurations (when discretized onto a lattice) are characterized by a higher stability when they are exposed to lattice cooling techniques.

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“…Furthermore, the Polyakov loop averaged over the low-action region of the lattice was proposed to play the role of the asymptotic holonomy in the infinite continuum. As for generic equilibrium configurations, recent smearing studies revealed clusters of topological charge, that -according to their content of Abelian monopoles and the corresponding behaviour of the Polyakov loop -have charges close to either ±1 or ±1/2, resembling calorons and their constituents, respectively [27].…”

Section: Calorons -In the Continuum And On The Latticementioning

confidence: 99%

Laplacian modes probing gauge fields

Bruckmann

Ilgenfritz

2005

Phys. Rev. D

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We show that low-lying eigenmodes of the Laplace operator are suitable to represent properties of the underlying SU (2) lattice configurations. We study this for the case of finite temperature background fields, yet in the confinement phase. For calorons as classical solutions put on the lattice, the lowest mode localizes one of the constituent monopoles by a maximum and the other one by a minimum, respectively. We introduce adjustable phase boundary conditions in the time direction, under which the role of the monopoles in the mode localization is interchanged. Similar hopping phenomena are observed for thermalized configurations. We also investigate periodic and antiperiodic modes of the adjoint Laplacian for comparison.In the second part we introduce a new Fourier-like low-pass filter method. It provides link variables by truncating a sum involving the Laplacian eigenmodes. The filter not only reproduces classical structures, but also preserves the confining potential for thermalized ensembles. We give a first characterization of the structures emerging from this procedure.

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Monopole content of topological clusters: Have Kraan-van Baal calorons been found?

Cited by 22 publications

References 37 publications

Vortex structure ofSU(2)calorons

Vortex structure ofSU(2)calorons

Improved superposition schemes for approximate multi-caloron configurations

Laplacian modes probing gauge fields

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