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Related papers: Monopole clusters at short and large distances

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The abelian-projected monopole loop distribution is extracted from maximal abelian gauge simulations. The number of loops of a given length falls as a power of the length nearly independent of lattice size. This power increases with…

High Energy Physics - Lattice · Physics 2009-10-31 Michael Grady

We study the relation between center vortex fluxes and monopole fluxes for $SU(2)$ gauge group in a model. This model is the same as thick center vortex model but we use monopole-antimonopole configurations instead of center vortices in the…

High Energy Physics - Phenomenology · Physics 2016-12-28 Seyed Mohsen Hosseini Nejad , Sedigheh Deldar

We discuss some properties of abelian monopoles in the Maximal Abelian projection of the SU(2) lattice gluodynamics. We show that in the maximal abelian projection abelian monopoles carry fluctuating electric charge and that the monopole…

High Energy Physics - Lattice · Physics 2007-05-23 B. L. G. Bakker , M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov , A. I. Veselov

We study the Abelian projected SU(2) lattice gauge theory after gauge fixing to the maximally Abelian gauge (MAG). In order to check the universality of the Abelian dominance we employ the tadpole improved tree level (TI) action. We show…

High Energy Physics - Lattice · Physics 2009-11-11 V. G. Bornyakov , E. -M. Ilgenfritz , M. Mueller-Preussker

We study the percolative properties of bi-dimensional systems generated by a random sequential adsorption of line-segments on a square lattice. As the segment length grows, the percolation threshold decreases, goes through a minimum and…

Condensed Matter · Physics 2009-10-22 Y. Leroyer , E. Pommiers

We discuss some properties of the abelian monopoles in compact U(1) gauge theory and in the SU(2) gluodynamics both on the lattice and in the continuum.

High Energy Physics - Lattice · Physics 2008-11-26 M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov , A. I. Veselov

Maximal Abelian gauge fixing and subsequent Abelian projection of SU(2) lattice gauge theory defines closed trajectories of magnetic monopoles. These trajectories can be interpreted in terms of an effective scalar field theory of the MAG…

High Energy Physics - Lattice · Physics 2016-09-01 Kurt Langfeld , Hugo Reinhardt

We describe infinite clusters which arise in nearest-neighbour percolation for so-called cocycle measures on the square lattice. These measures arise naturally in the study of random transformations. We show that infinite clusters have a…

Probability · Mathematics 2007-05-23 Ronald Meester

The magnetic monopole in euclidean pure SU(2) gauge theory is investigated using a background field method on the lattice. With Monte Carlo methods we study the mass of the monopole in the full quantum theory. The monopole background under…

High Energy Physics - Lattice · Physics 2009-10-22 J. Smit , A. J. Van Der Sijs

The length distribution and the monopole action of the infrared monopole clusters are studied numerically in quenched SU(2) QCD. We determine the effective entropy of the monopole currents which turns out to be a descending function of the…

High Energy Physics - Lattice · Physics 2009-11-10 Katsuya Ishiguro , M. N. Chernodub , Katsuya Kobayashi , Tsuneo Suzuki

After fixing the Maximal Abelian gauge in SU(2) lattice gauge theory we decompose the nonabelian gauge field into the so called monopole field and the modified nonabelian field with monopoles removed. We then calculate respective static…

High Energy Physics - Lattice · Physics 2009-11-11 V. G. Bornyakov , M. I. Polikarpov , G. Schierholz , T. Suzuki , S. N. Syritsyn

Gauge problem of monopole dynamics is studied in SU(2) lattice gauge theory. We study first abelian and monopole contributions to the static potential in four smooth gauges, i.e., Laplacian Abelian (LA), Maximally Abelian Wilson Loop (MAWL)…

High Energy Physics - Lattice · Physics 2009-11-07 Shoichi Ito , Shun-ichi Kitahara , Tae Woong Park , Tsuneo Suzuki

Using the renormalization group motivated smoothing technique, the large scale structure of lattice configurations at finite temperature is characterized in terms of Abelian monopoles identified in the maximally Abelian, the Laplacian…

High Energy Physics - Lattice · Physics 2009-10-31 E. -M. Ilgenfritz , H. Markum , M. Müller-Preussker , S. Thurner

We study the relation between instantons and monopoles in the abelian gauge. First, we investigate the monopole in the multi-instanton solution in the continuum Yang-Mills theory using the Polyakov gauge. At a large instanton density, the…

High Energy Physics - Lattice · Physics 2009-10-28 H. Suganuma , S. Sasaki , H. Ichie , F. Araki , O. Miyamura

Recently, it has been observed that the non-Abelian action associated with lattice monopoles and vortices is ultraviolet divergent, at least at presently available lattices. On the other hand, the total length of the monopole trajectories…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. I. Zakharov

We study the Abelian projection of SU(2) instantons in the Maximally Abelian gauge. We find that in this gauge an isolated instanton produces a closed monopole loop within its core and the size of this loop increases with the core size. We…

High Energy Physics - Lattice · Physics 2009-10-28 A. Hart , M. Teper

We investigate monopoles in four-dimensional compact U(1) with Wilson action. We focus our attention on monopole clusters as they can be identified unambiguously contrary to monopole loops. We locate the clusters and determine their…

High Energy Physics - Lattice · Physics 2009-10-22 A. Bode , Th. Lippert , K. Schilling

We resolve a discrepancy between the SU(2) spacial string tension at finite temperature, and the value obtained by monopoles in the maximum Abelian gauge. Previous work had incorrectly omitted a term due to Dirac sheets. When this term is…

High Energy Physics - Lattice · Physics 2009-10-28 John D. Stack , Roy J. Wensley , Steven D. Neiman

In an attempt to describe the change of topological structure of pure SU(2) gauge theory near deconfinement a renormalization group inspired method is tested. Instead of cooling, blocking and subsequent inverse blocking is applied to Monte…

High Energy Physics - Lattice · Physics 2009-10-30 M. Feurstein , E. -M. Ilgenfritz , H. Markum , M. Müller-Preussker , S. Thurner

We study the continuum limit of the abelian string tension and the density of abelian monopoles calculated after carefully fixing the maximal abelian gauge by employing the simulated annealing algorithm. We present the evidence that the…

High Energy Physics - Lattice · Physics 2015-06-25 V. Bornyakov , M. Muller-Preussker