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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…

高能物理 - 格点 · 物理学 2009-11-11 V. G. Bornyakov , M. I. Polikarpov , G. Schierholz , T. Suzuki , S. N. Syritsyn

Various field strength correlators are investigated in the maximal abelian projection of pure SU(2) lattice gauge theory. High precision measurements of the colour fields, monopole currents, their curl and divergence allow for detailed…

高能物理 - 格点 · 物理学 2009-10-30 Ch. Schlichter , G. S. Bali , K. Schilling

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…

高能物理 - 格点 · 物理学 2022-02-16 V. Bornyakov , I. Kudrov , R. Rogalyov

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,…

高能物理 - 格点 · 物理学 2009-10-28 M. N. Chernodub , M. I. Polikarpov , A. I. Veselov

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 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)…

高能物理 - 格点 · 物理学 2015-06-16 Claudio Bonati , Massimo D'Elia

Based on the dual Higgs picture for confinement, we study monopole properties in the maximally abelian (MA) gauge using the lattice QCD. The monopole carries a large fluctuation of the gluon field and provides a large abelian action in…

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

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

高能物理 - 格点 · 物理学 2009-10-28 Shinji Ejiri

We test a new parametrization of a suitably truncated classically perfect action for SU(2) pure gauge theory with respect to self-consistency and locate the deconfinement transition on a 12^3X4 lattice. Using the technique of smoothing…

高能物理 - 格点 · 物理学 2009-10-31 E. -M. Ilgenfritz , H. Markum , M. Müller-Preussker , S. Thurner

The abelian projection of lattice gluodynamics is reviewed. The main topics are: abelian and monopole dominance, monopole condensate as the disorder parameter, effective abelian Lagrangian, monopoles in the instanton field, Aharonov -- Bohm…

高能物理 - 格点 · 物理学 2009-10-28 M. I. Polikarpov

After fixing the Maximal Abelian gauge in SU(3) lattice gluodynamics we decompose the nonabelian gauge field into the Abelian field created by Abelian monopoles and the modified nonabelian field with monopoles removed. We then calculate…

高能物理 - 格点 · 物理学 2025-10-06 V. G. Bornyakov , I. Kudrov

The Abelian monopoles in lattice gluodynamics are associated with continuum monopoles blocked to the lattice. This association allows to predict the lattice monopole action and density of the (squared) monopole charges from a continuum…

高能物理 - 格点 · 物理学 2009-11-07 M. N. Chernodub , K. Ishiguro , T. Suzuki

Calculations of the chiral condensate on the lattice using staggered fermions and the Lanczos algorithm are presented. Four gauge fields are considered: the quenched non-Abelian field, an Abelian projected field, and monopole and photon…

高能物理 - 格点 · 物理学 2009-10-28 F. X. Lee , R. M. Woloshyn , H. D. Trottier

New evidence is discussed of monopole condensation in the vacuum of SU(2) and SU(3) gauge theories. Monopoles defined by different abelian projections do condense in the transition to the confined phase and show the same behavior. For SU(2)…

高能物理 - 格点 · 物理学 2009-10-31 A. Di Giacomo , B. Lucini , L. Montesi , G. Paffuti

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…

高能物理 - 格点 · 物理学 2009-10-22 Hiroshi Shiba , Tsuneo Suzuki

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 Abelian monopoles and Abelian vortices condensation in finite temperature SU(2) and SU(3) pure lattice gauge theories.

高能物理 - 格点 · 物理学 2009-10-31 P. Cea , L. Cosmai

We show that the instantons induce the abelian monopoles in the Maximal Abelian Projection of $SU(2)$ gluodynamics. As an example we consider the case of one instanton and the case of a set of instantons arranged along a straight line. The…

高能物理 - 理论 · 物理学 2008-02-03 M. N. Chernodub , F. V. Gubarev

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

We propose to consider lattice monopoles in gluodynamics as continuum monopoles blocked to the lattice. In this approach the lattice is associated with a measuring device consisting of finite-sized detectors of monopoles (lattice cells).…

高能物理 - 格点 · 物理学 2007-05-23 M. N. Chernodub , K. Ishiguro , T. Suzuki