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Related papers: Monopole Order Parameter in SU(2) Lattice Gauge Th…

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We describe numerical calculation results for the probability distribution of the value of the monopole creation operator in the SU(2) lattice gluodynamics. We work in the maximal abelian projection. It occurs that at low temperatures,…

High Energy Physics - Lattice · Physics 2009-10-28 M. N. Chernodub , M. I. Polikarpov , A. I. Veselov

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 show that the monopole confinement mechanism in lattice gluodynamics may be a particular feature of the maximal abelian projection. We give an explicit example of the $SU(2) \rightarrow U(1)$ projection (the minimal abelian projection),…

High Energy Physics - Lattice · Physics 2007-05-23 M. N. Chernodub , M. I. Polikarpov , A. I. Veselov

We show that the monopole confinement mechanism in lattice gluodynamics is a particular feature of the maximal abelian projection. We give an explicit example of the $SU(2) \rightarrow U(1)$ projection (the minimal abelian projection), in…

High Energy Physics - Lattice · Physics 2010-11-01 M. N. Chernodub , M. I. Polikarpov , A. I. Veselov

By numerical calculations we show that the abelian monopole currents are locally correlated with the density of SU(2) lattice action. This fact is established for the maximal abelian projection. Thus, in the maximal abelian projection the…

High Energy Physics - Lattice · Physics 2009-10-30 B. L. G. Bakker , M. N. Chernodub , M. I. Polikarpov

Effective monopole actions for various extended monopoles are derived from vacuum configurations after abelian projection in the maximally abelian gauge in $T=0$ and $T\ne 0$ $SU(3)$ lattice QCD. The actions obtained appear to be…

High Energy Physics - Lattice · Physics 2016-09-01 Natsuko Arasaki , Shinji Ejiri , Shun-ichi Kitahara , Yoshimi Matsubara , Tsuneo Suzuki

SU(2) gluodynamics is investigated numerically and analytically in the (Indirect) Maximal Center gauge at finite temperature. The center vortices are shown to be condensed in the confinement phase and dilute in the deconfinement phase. A…

High Energy Physics - Lattice · Physics 2010-05-27 M. N. Chernodub , M. I. Polikarpov , A. I. Veselov , M. A. Zubkov

By making use of the Abelian projection method, a dual version of the SU(2)-gluodynamics with manifest monopole-like excitations, arising from the integration over singular gauge transformations, is formulated in the continuum limit. The…

High Energy Physics - Theory · Physics 2007-05-23 Dmitri Antonov , Dietmar Ebert

By numerical calculations we show that the abelian monopole currents are locally correlated with the density of SU(2) lattice action. The correlations are larger by the order of magnitude in the maximal abelian projection than in the…

High Energy Physics - Lattice · Physics 2009-10-30 B. L. G. Bakker , M. N. Chernodub , M. I. Polikarpov

We investigate SU(2) lattice gauge theory in four dimensions in the maximally abelian projection. Studying the effects on different lattice sizes we show that the deconfinement transition of the fields and the percolation transition of the…

High Energy Physics - Lattice · Physics 2009-10-30 G. Damm , W. Kerler

We calculate the solenoidal magnetic monopole current and electric flux distributions at finite temperature in the presence of a static quark antiquark pair. The simulation was performed using SU(2) lattice gauge theory in the maximal…

High Energy Physics - Lattice · Physics 2016-09-01 Yingcai Peng , Richard W. Haymaker

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 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 investigate the role of monopoles in the deconfinement transition of finite temperature $SU(2)$ QCD in the maximally abelian gauge. In the confinement phase a long monopole loop exists in each configuration, whereas no long loop exists…

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

Decomposition of SU(2) gauge field into the monopole and monopoleless components is studied in the Maximal Abelian gauge using Monte-Carlo simulations in lattice SU(2) gluodynamics as well as in two-color QCD with both zero and nonzero…

High Energy Physics - Lattice · Physics 2022-02-16 V. Bornyakov , I. Kudrov , R. Rogalyov

We show that the extended Abelian magnetic monopoles in the Maximal Abelian projection of lattice SU(2) gluodynamics are locally correlated with the magnetic and the electric parts of the SU(2) action density. These correlations are…

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

The role of monopoles in the deconfinement transition is discussed in the framework of abelian projection in the maximally abelian gauge in $T\neq0$ $SU(2)$ QCD. Only one (or a few near $\beta_c$) long connected monopole loop exists…

High Energy Physics - Lattice · Physics 2017-02-01 Shun-ichi Kitahara , Yoshimi Matsubara , Tsuneo Suzuki

The properties of the thermal Abelian color-magnetic monopoles in the maximally Abelian gauge are studied in the vicinity of the confinement-deconfinement phase transition in the lattice $SU(3)$ gluodynamics and lattice QCD. We compute the…

High Energy Physics - Lattice · Physics 2013-12-17 V. G. Bornyakov , A. G. Kononenko , V. K. Mitrjushkin

An effective monopole action for various extended monopoles is derived from vacuum configurations after abelian projection in the maximally abelian gauge in $SU(2)$ QCD. The action appears to be independent of the lattice volume. Moreover…

High Energy Physics - Lattice · Physics 2009-10-22 Hiroshi Shiba , Tsuneo Suzuki

We study the structure of the isolated static monopoles in the maximal Abelian projection of SU(2) lattice gluodynamics. Our estimation of the monopole radius is $ \approx 0.06 fm$.

High Energy Physics - Lattice · Physics 2009-11-07 V. A. Belavin , M. I. Polikarpov , A. I. Veselov
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