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Related papers: Monopoles and Confining Strings in QCD

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We prove Abelian magnetic monopole dominance in the string tension of QCD. Abelian and monopole dominance in low energy physics of QCD has been confirmed for various quantities by recent Monte Carlo simulations of lattice gauge theory. In…

High Energy Physics - Theory · Physics 2014-11-18 Kei-Ichi Kondo

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

We give a theoretical framework for defining and extracting non-Abelian magnetic monopoles in a gauge-invariant way in SU(N) Yang-Mills theory to study quark confinement. Then we give numerical evidences that the non-Abelian magnetic…

High Energy Physics - Theory · Physics 2011-06-24 K. -I. Kondo , A. Shibata , T. Shinohara , S. Kato

The dual Meissner effect is described and numerically observed in a gauge-invariant way in lattice Monte-Carlo simulations in pure SU(2) QCD. The squeezing of the non-Abelian electric field between a pair of static quark and anti-quark…

High Energy Physics - Lattice · Physics 2007-05-23 Toru Sekido , Katsuya Ishiguro , Yoshifumi Nakamura , Tsuneo Suzuki

Based on general renormalization group arguments, Polyakov's loop-space formalism, and recent analytical lattice arguments, suggesting, after Abelian gauge fixing, a description of pure gluodynamics by means of a Georgi-Glashow like model,…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ralf Hofmann

An effective monopole action is derived from vacuum configurations after abelian projection in the maximally abelian gauge in $SU(2)$ QCD. Entropy dominance over energy of monopole loops is seen on the renormalized lattice with the spacing…

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

Non-Abelian strings exist in the color-flavor locked phase of dense QCD. We show that kinks appearing in the world-sheet theory on these strings, in the form of the kink-antikink bound pairs, are the magnetic monopoles --- descendants of…

High Energy Physics - Phenomenology · Physics 2011-05-12 A. Gorsky , M. Shifman , A. Yung

Recently we observed a crossover transition (in the Fayet-Iliopoulos parameter) from weak to strong coupling in N=2 supersymmetric QCD with the U(N) gauge group and N_f > N quark flavors. At strong coupling this theory can be described by a…

High Energy Physics - Theory · Physics 2010-05-27 M. Shifman , A. Yung

Quark confinement is proposed to be a dual Meissner effect of nonAbelian kind. Important hints come from physics of strongly-coupled infrared-fixed-point theories in N=2 supersymmetric QCD, which turn into confining vacua under a small…

High Energy Physics - Theory · Physics 2017-04-05 Kenichi Konishi

We study various representations of the infrared effective theory of SU(2) gluodynamics starting from the monopole action derived recently. We determine the coupling constants in the abelian-Higgs model directly from lattice QCD and…

High Energy Physics - Lattice · Physics 2010-11-19 S. Kato , M. N. Chernodub , S. Kitahara , N. Nakamura , M. I. Polikarpov , Tsuneo Suzuki

This thesis is devoted to studying strong coupling phenomena (and confinement in particular) in supersymmetric gauge theories. The central object of investigation is the non-Abelian string that is responsible for the…

High Energy Physics - Theory · Physics 2020-12-01 E. Ievlev

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

We propose a method for the determination of magnetic monopole currents in non-Abelian gauge theories which does not need a projection to Abelian degrees of freedom. With this definition we are able to determine the distribution of magnetic…

High Energy Physics - Lattice · Physics 2008-11-26 Peter Skala , Manfried Faber , Martin Zach

We study abelian dominance for confinement in terms of the local gluon properties in the maximally abelian (MA) gauge in a semi-analytical manner with the help of the lattice QCD. The global Weyl symmetry persistently remains as the relic…

High Energy Physics - Lattice · Physics 2015-06-25 Hiroko Ichie , Hideo Suganuma

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

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 consider gluodynamics in case when both color and magnetic charges are present. We discuss first short distance physics, where only the fundamental |Q|=1 monopoles introduced via the `t Hooft loop can be considered consistently. We show…

High Energy Physics - Theory · Physics 2009-10-31 M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov , V. I. Zakharov

Starting from SU(2) Yang-Mills theory in 3+1 dimensions, we prove that the abelian-projected effective gauge theories are written in terms of the maximal abelian gauge field and the dual abelian gauge field interacting with monopole…

High Energy Physics - Theory · Physics 2009-10-30 Kei-ichi Kondo

Violation of non-Abelian Bianchi identity can be regarded as $N^2-1$ Abelian-like monopole currents in the continuum SU(N) QCD. Three Abelian-like monopoles, when defined in SU(2) gluodynamics on the lattice \`{a} la DeGrand-Toussaint, are…

High Energy Physics - Lattice · Physics 2021-01-04 Atsuki Hiraguchi , Katsuya Ishiguro , Tsuneo Suzuki

We study the correlation between instantons and QCD-monopoles both in the lattice gauge theory and in the multi-instanton system using the maximally abelian gauge. First, we find the existence of an almost linear correlation between the…

High Energy Physics - Lattice · Physics 2007-05-23 Shoichi Sasaki , Masahiro Fukushima , Atsunori Tanaka , Hideo Suganuma , Hiroshi Toki , Osamu Miyamura , Dmitri Diakonov