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Related papers: Abelian Dominance in Wilson Loops

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We discuss the effect of the choice of an Abelian projection on the dual superconductor mechanism of confinement in SU(2) gluodynamics. Using qualitative arguments we show that the dual superconductor Lagrangian corresponding to the Abelian…

High Energy Physics - Lattice · Physics 2009-11-10 M. N. Chernodub

We aim to investigate the infrared regime in the effective theory of the new quadratic gauge in the physical compact space by defining it on 4-sphere. Abelian dominance is characterized by off-diagonal gluons acquiring dynamical masses and…

High Energy Physics - Theory · Physics 2021-05-20 Haresh Raval

I summarise recent lattice results on the QCD confinement mechanism in the maximally Abelian projection.

High Energy Physics - Phenomenology · Physics 2007-05-23 Gunnar S. Bali

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…

High Energy Physics - Lattice · Physics 2007-05-23 Atsunori Tanaka , Hideo Suganuma

To understand the Abelian dominance and magnetic monopole dominance in low-energy QCD, we rewrite the non-Abelian Wilson loop into the form which is written in terms of its Abelian components or the 't Hooft-Polyakov tensor describing the…

High Energy Physics - Theory · Physics 2007-05-23 Kei-Ichi Kondo

We continue our investigation of quark confinement using a particular variant of the Cho-Duan-Ge gauge independent Abelian decomposition. The decomposition splits the gauge field into a restricted Abelian part and a coloured part in a way…

High Energy Physics - Lattice · Physics 2016-03-14 Nigel Cundy , Y. M. Cho , Weonjong Lee

The dual superconductivity is believed to be a promising mechanism for quark confinement. Indeed, what this picture is true has been confirmed in the maximal Abelian (MA) gauge. However, it is not yet confirmed in any other gauge and the MA…

High Energy Physics - Lattice · Physics 2008-11-26 A. Shibata , S. Ito , S. Kato , K. -I. Kondo , T. Murakami , T. Shinohara

To check the dual superconductor picture for the quark-confinement mechanism, we evaluate monopole dominance as well as Abelian dominance of quark confinement for both quark-antiquark and three-quark systems in SU(3) quenched lattice QCD in…

High Energy Physics - Lattice · Physics 2019-06-11 Hideo Suganuma , Naoyuki Sakumichi

I revue the so called Wilson loop approach to bound state problem in QCD. I shall show how using appropriate path integral representations for the quark propagator in an external field it is possible to obtain corresponding path integral…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. M. Prosperi

Color confinement is a consequence of an unbroken non-Abelian gauge symmetry and the resulting asymptotic freedom inherent in quantum chromodynamics. A qualitative sketch of its proof is presented.

High Energy Physics - Theory · Physics 2007-05-23 Masud Chaichian , Kazuhiko Nishijima

Under the assumption that the color charge can be written in a BRST exact form, the color confinement mechanism proposed by Kugo and Ojima (KO) explains the confinement of any colored particles including dynamical quarks and gluons. This…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. Hata , I. Niigata

In the $SU(2)$ Yang-Mills theory on the four-dimensional Euclidean lattice, we confirm the gauge-independent "Abelian" dominance (or the restricted field dominance) and gauge-independent magnetic-monopole dominance in the string tension of…

High Energy Physics - Lattice · Physics 2015-06-22 Seikou Kato , Kei-Ichi Kondo , Akihiro Shibata

A comparative study of Abelian and Monopole dominance in the Laplacian and Maximally Abelian projected gauges is carried out. Clear evidence for both types of dominance is obtained for the Laplacian projection. Surprisingly, the evidence is…

High Energy Physics - Lattice · Physics 2009-10-31 A. J. van der Sijs

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

In the context of the dual superconductor picture for the confinement mechanism, we study maximally Abelian (MA) projection of quark confinement in SU(3) quenched lattice QCD with $32^4$ at $\beta$=6.4 (i.e., $a \simeq$ 0.058 fm). We…

High Energy Physics - Lattice · Physics 2015-12-17 Hideo Suganuma , Naoyuki Sakumichi

We present evidence that the center vortex model of confinement is more consistent with lattice results than other currently available models. In particular we show that Abelian field distributions predicted by monopole plasma, caloron gas…

High Energy Physics - Lattice · Physics 2015-04-30 Roman Höllwieser , Jeff Greensite

We propose a nonlocal definition of a gauge-invariant object in terms of the Wilson loop operator in a non--Abelian gauge theory. The trajectory is a closed curve defined by an (untraced) Wilson loop which takes its value in the center of…

High Energy Physics - Lattice · Physics 2011-07-19 M. N. Chernodub

The nonperturbative phenomena of QCD like color confinement is well described through the dual superconductor picture in the Maximally Abelian (MA) gauge. In this gauge, monopoles appear as important degrees of freedom composed by…

High Energy Physics - Lattice · Physics 2007-05-23 Hiroko Ichie , Hideo Suganuma

Confinement in non-Abelian gauge theories, such as QCD, is often explained using an analogy to type II superconductivity. In this analogy the existence of the ``Meissner'' effect for quarks with respect to the QCD vacuum is an important…

High Energy Physics - Theory · Physics 2009-11-07 V. Dzhunushaliev , D. Singleton

All colored particles including dynamical quarks and gluons are confined if the color confinement criterion proposed by Kugo and Ojima is satisfied. The criterion was obtained under the gauge fixing of the Lorenz type. However, it was…

High Energy Physics - Theory · Physics 2022-05-25 Kei-Ichi Kondo , Naoki Fukushima