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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

We study monopoles and vortices in SU(2) lattice gauge theory on a 24**4 lattice at beta=2.50. We find a value of fundamental string tension from monopoles in the maximum Abelian gauge consistent with the full SU(2) value. Using direct and…

High Energy Physics - Lattice · Physics 2007-05-23 John D. Stack , William W. Tucker , Alistair Hart

We apply smoothing to SU(2) lattice field configurations in 3+1 dimensions before fixing to the maximally Abelian gauge. The Abelian projected string tension is shown to be stable under this, whilst the monopole string tension declines by…

High Energy Physics - Lattice · Physics 2009-10-31 A. Hart , J. D. Stack , M. Teper

Monopole and photon contributions to abelian Wilson loops are calculated using Monte-Carlo simulations of finite-temperature $SU(2)$ QCD in the maximally abelian gauge. The string tension is reproduced by monopole contribution alone also in…

High Energy Physics - Lattice · Physics 2009-10-28 Shinji Ejiri , Shun-ichi Kitahara , Yoshimi Matsubara , Tsuneo Suzuki

We studied a behavior of monopole currents in the high temperature (deconfinement) phase of abelian projected finite temperature SU(2) QCD in maximally abelian gauge. Wrapped monopole currents closed by periodic boundary play an important…

High Energy Physics - Lattice · Physics 2009-10-28 Shinji Ejiri

We study a 3d lattice gauge theory with gauge group $\mathrm{U}(1)^{N-1}\rtimes \mathrm{S}_N$, which is obtained by gauging the $\mathrm{S}_N$ global symmetry of a pure $\mathrm{U}(1)^{N-1}$ gauge theory, and we call it the semi-Abelian…

High Energy Physics - Theory · Physics 2021-04-06 Mendel Nguyen , Yuya Tanizaki , Mithat Ünsal

We present results of a detailed investigation of the temperature dependence of the spatial string tension in SU(2) gauge theory. We show, for the first time, that the spatial string tension is scaling on the lattice and thus is…

High Energy Physics - Lattice · Physics 2009-07-09 G. S. Bali , J. Fingberg , U. M. Heller , F. Karsch , K. Schilling

We investigate the Abelian monopole condensation in finite temperature SU(2) and SU(3) pure lattice gauge theories. To this end we introduce a gauge invariant disorder parameter built up in terms of the lattice Schr\"odinger functional. Our…

High Energy Physics - Lattice · Physics 2009-10-31 P. Cea , L. Cosmai

Monopole and photon contributions to abelian Wilson loops are calculated using Monte-Carlo simulations of finite-temperature $SU(2)$ QCD in the maximally abelian gauge. Long monopole loops alone are responsible for the behavior of the…

High Energy Physics - Lattice · Physics 2009-10-22 Shinji Ejiri , Shun-ichi Kitahara , Yoshimi Matsubara , Tsuneo Suzuki

A non-perturbative mass of $0.2719 g^2 T$ is generated for the magnetic sector of the $SU(2)$ gauge theory at high temperature due to the condensation of Polyakov \cite{Pol} monopole and antimonopole which form a magnetic glue ball. String…

High Energy Physics - Lattice · Physics 2009-10-28 Satchidananda Naik

We investigate the dual superconductor hypothesis in finite-temperature SU(2) lattice gluodynamics in the Spatial Maximal Abelian gauge. This gauge is more physical than the ordinary Maximal Abelian gauge due to absence of non-localities in…

High Energy Physics - Lattice · Physics 2009-10-31 M. N. Chernodub , M. I. Polikarpov , A. I. Veselov

We present results for the fundamental string tension in SU(2) lattice gauge theory after projection to maximal abelian and direct maximal center gauges. We generate 20 Gribov copies/configuration. Abelian and center projected string…

High Energy Physics - Lattice · Physics 2009-10-31 John D. Stack , William W. Tucker

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

The properties of the thermal Abelian color-magnetic monopoles in the maximally Abelian gauge are studied in the deconfinement phase of the lattice SU(2) gluodynamics. To check universality of the monopole properties we employ the tadpole…

High Energy Physics - Lattice · Physics 2013-05-30 V. G. Bornyakov , A. G. Kononenko

We continue our study of the Gribov copies effrcts in the Maximal Abelian gauge in lattice $SU(3)$ gluodynamics. Our computations were completed for four values of the lattice spacing with physical lattice size $L \approx 2$ fm. It is…

High Energy Physics - Lattice · Physics 2025-03-20 I. Kudrov , V. Bornyakov

Using a tadpole improved SU(2) gluodynamics action, the nonabelian potential and the abelian potential after the abelian projection are computed. Rotational invariance is found restored at coarse lattices both in the nonabelian theory and…

High Energy Physics - Lattice · Physics 2010-11-19 G. I. Poulis

We discuss and propose a proper extension of the Abelian projection based on the Maximal Abelian Gauge to SU(N) gauge theories. Based, on that, we investigate the properties of thermal Abelian monopoles in the deconfined phase of the SU(3)…

High Energy Physics - Lattice · Physics 2015-06-16 Claudio Bonati , Massimo D'Elia

In the maximally Abelian gauge of SU(2), the clusters of monopole current are found to divide into two distinct classes. The largest cluster permeates the lattice, has a density that scales and produces the string tension. The remaining…

High Energy Physics - Lattice · Physics 2009-10-30 A. Hart , M. Teper

We investigate the properties of thermal abelian magnetic monopoles in the high temperature phase of Yang--Mills theories, following a recent proposal for their identification on lattice configurations. The study is done for SU(2) pure…

High Energy Physics - Lattice · Physics 2008-11-26 Alessio D'Alessandro , Massimo D'Elia

We study decomposition of $SU(2)$ gauge field into monopole and monopoleless components. After fixing the Maximal Abelian gauge in $SU(2)$ lattice gauge theory we decompose the nonabelian gauge field into the Abelian field created by…

High Energy Physics - Lattice · Physics 2022-04-13 V. G. Bornyakov , I. Kudrov , R. N. Rogalyov
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