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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

In a functional approach to QCD the infrared behaviour of Landau gauge Green functions is investigated. Positivity violation for, and thus confinement of, gluons is demonstrated, and the analytic structure of the gluon propagator is…

High Energy Physics - Phenomenology · Physics 2009-06-25 Reinhard Alkofer , Christian S. Fischer , Markus Q. Huber , Felipe J. Llanes-Estrada , Kai Schwenzer

We perform a study of the effects from maximal abelian gauge Gribov copies in the context of the dual superconductor scenario of confinement, on the basis of a novel approach for estimation of systematic uncertainties from incomplete gauge…

High Energy Physics - Lattice · Physics 2009-10-28 G. S. Bali , V. Bornyakov , M. Mueller Preussker , K. Schilling

Recently we discovered and discussed non-Abelian duality in the quark vacua of N=2 super-Yang-Mills theory with the U(N) gauge group and N_f flavors (N_f>N). Both theories from the dual pair support non-Abelian strings which confine…

High Energy Physics - Theory · Physics 2011-06-07 M. Shifman , A Yung

Color confinement can be understood by the dual Higgs theory, where monopole condensation leads to the exclusion of the electric flux from the QCD vacuum. We study the role of the monopole for color confinement by investigating the monopole…

High Energy Physics - Lattice · Physics 2009-10-30 Hiroko Ichie , Hideo Suganuma , Atsunori Tanaka

We show that the hypothesis of abelian dominance in maximal abelian gauge, which is known to work for Wilson loops in the fundamental representation, fails for Wilson loops in higher group representations. Monte Carlo simulations are…

High Energy Physics - Lattice · Physics 2008-11-26 L. Del Debbio , M. Faber , J. Greensite , S. Olejnik

We have proposed the non-Abelian dual superconductivity in SU(3) Yang-Mills theory for the mechanism of quark confinement,and we presented the numerical evidences in preceding lattice conferences by using the proposed gauge link…

High Energy Physics - Lattice · Physics 2015-01-27 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

In recent work, we derived the long-distance confining dynamics of certain QCD-like gauge theories formulated on small $S^1 \times \R^3$ based on symmetries, an index theorem, and Abelian duality. Here, we give the microscopic derivation.…

High Energy Physics - Theory · Physics 2009-09-02 Mithat Unsal

We fix exactly and uniquely the infrared structure of the full gluon propagator in QCD, not solving explicitly the corresponding dynamical equation of motion. By construction, this structure is an infinite sum over all possible severe…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. Gogohia

We study nonperturbative features of QCD using the dual Ginzburg-Landau (DGL) theory, where the color confinement is realized through the dual Higgs mechanism brought by QCD-monopole condensation. The linear confinement potential appears in…

High Energy Physics - Phenomenology · Physics 2022-10-21 Hideo Suganuma , Shoichi Sasaki , Hiroshi Toki , Hiroko Ichie

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 show that the color $N$ dependent area law falloffs of the double-winding Wilson loop averages for the $SU(N)$ lattice gauge theory obtained in the preceding works are reproduced from the corresponding lattice Abelian gauge theory with…

High Energy Physics - Lattice · Physics 2021-11-09 Ryu Ikeda , Kei-Ichi Kondo

We study dual superconductivity of the ground state of SU(2) gauge theory, in connection with confinement. We do that measuring on the lattice a disorder parameter describing condensation of monopoles. Confinement appears as a transition to…

High Energy Physics - Lattice · Physics 2008-11-26 A. Di Giacomo , B. Lucini , L. Montesi , G. Paffuti

Under the assumption of the Abelian dominance in QCD, we show that chiral condensate is locally present around a QCD monopole. The appearance of the chiral condensate around a GUT monopole was shown in the previous analysis of the Rubakov…

High Energy Physics - Phenomenology · Physics 2017-08-02 Aiichi Iwazaki

In the past few years, we have presented a new way of considering quark confinement. Through a careful choice of a Cho-Duan-Ge Abelian Decomposition, we can construct the QCD Wilson Loop in terms of an Abelian restricted field. The…

High Energy Physics - Lattice · Physics 2014-11-05 Nigel Cundy , Yongmin Cho , Weonjong Lee

The dual Meissner effect is described and numerically observed in a gauge-invariant way in lattice Monte-Carlo simulations of pure SU(2) QCD. A gauge-invariant Abelian-like field strength is defined in terms of a unit-vector in color space…

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

Three topics concerning infrared effective lattice QCD are discussed. (1)Perfect lattice action of infrared SU(3) QCD and perfect operators for the static potential are analytically given when we assume two-point monopole interactions…

High Energy Physics - Lattice · Physics 2015-06-25 K. Yamagishi , S. Kitahara , S. Ito , T. Tsunemi , S. Fujimoto , S. Kato , F. Shoji , T. Suzuki , H. Kodama , A. Nakamura

Using a system of the corresponding Schwinger-Dyson equations of motion, a pure dynamical theory of quark confinement and spontaneous breakdown of chiral symmetry is formulated. It is based on dominated in the QCD vacuum self-interaction of…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Gogohia

First, we present a simple confining abelian pure gauge theory. Classically, its kinetic term is not positive definite, and it contains a simple UV regularized F^4 interaction. This provoques the formation of a condensate ~ F^2 such that,…

High Energy Physics - Theory · Physics 2011-09-13 U. Ellwanger , N. Wschebor

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
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