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We study the Abelian and non-Abelian action densitynear the monopole in the maximal Abelian gauge of SU(2) lattice gauge theory. We find that the non-Abelian action density near the monopoles belonging to the percolating cluster decreases…

高能物理 - 格点 · 物理学 2009-11-07 V. G. Bornyakov , M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov , T. Suzuki , A. I. Veselov , V. I. Zakharov

This is the short review of Monte-Carlo studies of quark confinement in lattice QCD. After abelian projections both in the maximally abelian and Polyakov gauges, it is seen that the monopole part alone is responsible for confinement. A…

高能物理 - 格点 · 物理学 2016-11-03 Tsuneo Suzuki

We give a gauge-independent definition of Abelian dominance in the Wilson loop operator and a constructive proof of the Abelian dominance through a non-Abelian Stokes theorem via lattice regularization. We obtain a necessary and sufficient…

高能物理 - 理论 · 物理学 2008-01-29 Kei-Ichi Kondo , Akihiro Shibata

The violation of non-Abelian Bianchi identity is equal to 8 Abelian monopole currents of the Dirac type satisfying Abelian conservation rules kinematically. There exist magnetic $U(1)_m^8$ symmetries in non-Abelian $SU(3)$ QCD. When the…

高能物理 - 格点 · 物理学 2024-05-24 Tsuneo Suzuki

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…

高能物理 - 格点 · 物理学 2010-11-19 G. I. Poulis

We study the continuum limit of the length spectrum of magnetic monopole structures found after various Abelian projections of pure gauge SU(2), including the maximally Abelian gauge. We comment on Gribov copies, and measurements of the…

高能物理 - 格点 · 物理学 2009-10-28 A. Hart , M. Teper

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)…

高能物理 - 格点 · 物理学 2009-11-07 Shoichi Ito , Shun-ichi Kitahara , Tae Woong Park , Tsuneo Suzuki

We study the dual Wilson loop and the inter-monopole potential(the static potential between the color magnetic monopoles) in the maximally abelian gauge to clarify the dual Higgs mechanism induced by monopole condensation. There is no…

高能物理 - 格点 · 物理学 2007-05-23 Atsunori Tanaka , Hideo Suganuma

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…

高能物理 - 格点 · 物理学 2016-09-01 Natsuko Arasaki , Shinji Ejiri , Shun-ichi Kitahara , Yoshimi Matsubara , Tsuneo Suzuki

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…

高能物理 - 格点 · 物理学 2017-02-01 Shun-ichi Kitahara , Yoshimi Matsubara , Tsuneo Suzuki

We study abelian dominance for confinement in terms of the local gluon properties in the maximally abelian (MA) gauge, where the diagonal component of the gluon is maximized by the gauge transformation. We find microscopic abelian dominance…

高能物理 - 格点 · 物理学 2007-05-23 Hiroko Ichie , Hideo Suganuma

We find that Polyakov lines, computed in abelian-projected SU(2) lattice gauge theory in the confined phase, have finite expectation values for lines corresponding to two units of the abelian electric charge. This means that the…

高能物理 - 格点 · 物理学 2016-09-01 J. Ambjorn , J. Giedt , J. Greensite

Using the SU(2) lattice QCD, we formulate the dual Wilson loop and study the dual Higgs mechanism induced by monopole condensation in the maximally abelian (MA) gauge, where QCD is reduced into an abelian gauge theory including the electric…

高能物理 - 格点 · 物理学 2007-05-23 Atsunori Tanaka , Hideo Suganuma

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

高能物理 - 格点 · 物理学 2009-10-28 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. The correlations are larger by the order of magnitude in the maximal abelian projection than in the…

高能物理 - 格点 · 物理学 2009-10-30 B. L. G. Bakker , M. N. Chernodub , M. I. Polikarpov

Wilson loops have been measured at strong coupling, $\beta=0.5$, on a $12^4$ lattice in noncompact simulations of pure SU(2) without gauge fixing. There is no sign of quark confinement.

高能物理 - 格点 · 物理学 2009-10-22 Kevin Cahill

We investigate the masses of 0+ and 2+ glueballs in SU(2) lattice gauge theory using abelian projection to the maximum abelian gauge. We calculate glueball masses using both abelian links and monopole operators. Both methods reproduce the…

高能物理 - 格点 · 物理学 2009-10-31 John D. Stack , Rafal Filipczyk

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…

高能物理 - 格点 · 物理学 2009-10-31 M. N. Chernodub , M. I. Polikarpov , A. I. Veselov

We formulate a stochastic gauge fixing method to study the gauge dependence of Abelian projection. In this method, one can change the gauge from the maximally Abelian one to no gauge fixing continuously. We have found that the linear part…

高能物理 - 格点 · 物理学 2009-10-31 F. Shoji

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…

高能物理 - 格点 · 物理学 2015-06-25 V. Bornyakov , M. Muller-Preussker