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Long time ago Pagels and Tomboulis have proposed a model for the nonperturbative gluodynamics which in the Abelian sector can be reduced to a strongly nonlinear electrodynamics. In the present paper we investigate Abelian, static solutions…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Arodz , M. Slusarczyk , A. Wereszczynski

We show that in general abelian projection of lattice gluodynamics it is not only monopoles but also strings are present. Both these topological excitations may be responsible for the confinement of color. We illustrate our ideas by some…

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

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…

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

We study the confinement physics in QCD in the maximally abelian (MA) gauge using the SU(2) lattice QCD. To clarify the origin of abelian dominance for the long-range physics, we study the charged-gluon propagator in the lattice QCD, and…

High Energy Physics - Lattice · Physics 2008-11-26 Hideo Suganuma , Hiroko Ichie , Atsunori Tanaka , Kazuhisa Amemiya

We show that a certain type of color magnetic condensation originating from magnetic monopole configurations is sufficient to provide the mass for off-diagonal gluons in the SU(2) Yang-Mills theory under the Cho--Faddeev--Niemi…

High Energy Physics - Theory · Physics 2009-11-10 Kei-Ichi Kondo

We consider a lattice action which forbids large fields, and which remains invariant under smooth deformations of the field. Such a "topological" action depends on one parameter, the field cutoff, but does not have a classical continuum…

High Energy Physics - Lattice · Physics 2016-05-24 Oscar Akerlund , Philippe de Forcrand

We investigated the gauge (in)dependence of the confinement mechanism due to monopole condensation in SU(2) lattice QCD by various abelian projections. We found (1) the string tension can be reproduced by monopoles alone also in Polyakov…

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

We review the recent results in the physics of the magnetic monopoles in gluodynamics and a dual formulation of non-Abelian theories, relevant to the physics of the confinement. It occurs that the dual gluon is a U(1) gauge boson, despite…

High Energy Physics - Lattice · Physics 2017-08-23 M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov , V. I. Zakharov

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

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)…

High Energy Physics - Lattice · Physics 2009-10-31 A. Di Giacomo , B. Lucini , L. Montesi , G. Paffuti

The Georgi-Glashow model equations of motion are examined by general static spherically symmetric real and complex parametrizations of gauge fields in arbitrary gauge. Their connection with the known `t Hooft-Polyakov and Julia-Zee…

High Energy Physics - Theory · Physics 2022-04-26 S. E. Korenblit , E. A. Voronova

We study topological defects constructed from diagonal and non-diagonal gluons in Abelian projection of zero temperature lattice QCD. We compare results obtained in the quenched and non-quenched vacuum field configurations and show that the…

High Energy Physics - Lattice · Physics 2007-05-23 P. Yu. Boyko , M. N. Chernodub , A. V. Kovalenko , S. M. Morozov , M. I. Polikarpov

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…

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

Abelian mechanism of non-Abelian color confinement is observed in a gauge-independent way by high precision lattice Monte Carlo simulations in gluodynamics. An Abelian gauge field is extracted with no gauge-fixing. A static quark-antiquark…

High Energy Physics - Lattice · Physics 2008-11-26 Tsuneo Suzuki , Katsuya Ishiguro , Yoshiaki Koma , Toru Sekido

A systematic procedure to consistently formulate a field theoretical, QCD bound state problem with a fixed number of constituents is outlined. The approach entails applying the Hamiltonian flow equations, which are a set of continuous…

High Energy Physics - Phenomenology · Physics 2009-10-31 Elena Gubankova , Chueng-Ryong Ji , Stephen R. Cotanch

We study gluodynamics in an external Abelian electromagnetic field within the dual superconductor approach. We show that the SU(2) gluodynamics should possess a deconfining phase transition at zero temperature at certain value of the…

High Energy Physics - Lattice · Physics 2017-08-23 M. N. Chernodub

We discuss a particular lattice discretization of abelian gauge theories in arbitrary dimensions. The construction is based on gauging the center symmetry of a non-compact abelian gauge theory, which results in a Villain type action. We…

High Energy Physics - Lattice · Physics 2019-06-26 Tin Sulejmanpasic , Christof Gattringer

We present an effective action approach for the problem of Coulomb blocking of tunneling. The method is applied to the ``strong coupling'' problem arising near zero bias, where perturbation theory diverges. By a semiclassical argument, we…

Condensed Matter · Physics 2007-05-23 L. S. Levitov , A. V. Shytov

We present a gauge independent method to construct the effective action of QCD, and calculate the one loop effective action of $SU(2)$ QCD in an arbitrary constant background field. Our result establishes the existence of a dynamical…

High Energy Physics - Theory · Physics 2007-05-23 Y. M. Cho , D. G. Pak

We study the Nambu-'t Hooft picture for color confinement in terms of the abelianization of QCD and monopole condensation in the maximally abelian (MA) gauge. In the MA gauge in the Euclidean metric, the off-diagonal gluon amplitude is…

High Energy Physics - Lattice · Physics 2009-12-31 Hideo Suganuma , Hiroko Ichie
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