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The dual Meissner effect is observed without monopoles in quenched SU(2) QCD with Landau gauge-fixing. Abelian as well as non-Abelian electric fields are squeezed. Magnetic displacement currents which are time-dependent Abelian magnetic…

High Energy Physics - Lattice · Physics 2009-11-10 Tsuneo Suzuki , Katsuya Ishiguro , Yoshihiro Mori , Toru Sekido

Monopole dominance for the nonperturbative features in QCD is studied both in the continuum and the lattice gauge theories. First, we study the dynamical chiral-symmetry breaking (D$\chi $SB) in the dual Higgs theory using the effective…

High Energy Physics - Phenomenology · Physics 2019-08-15 Hideo Suganuma , Sei Umisedo , Shoich Sasaki , Hiroshi Toki , Osamu Miyamura

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

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

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

It is demonstrated that monopole condensation in the confined phase of SU(2) and SU(3) gauge theories is independent of the specific Abelian projection used to define the monopoles. Hence the dual excitations which condense in the vacuum to…

High Energy Physics - Lattice · Physics 2008-11-26 J. M. Carmona , M. D'Elia , A. Di Giacomo , B. Lucini , G. Paffuti

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

We study the similarity and the difference between QCD in the maximally abelian (MA) gauge and the nonabelian Higgs (NAH) theory by introducing the ``gluonic Higgs scalar field'' $\vec \phi(x)$ corresponding to the ``color-direction'' of…

High Energy Physics - Lattice · Physics 2009-12-14 Hideo Suganuma , Hiroko Ichie

In this Letter we use the Julia-Toulouse approach for condensation of defects in order to obtain an effective confinement theory for external chromoelectric probe charges in SU(3) gauge theory in the regime with condensed chromomagnetic…

High Energy Physics - Theory · Physics 2012-03-29 L. S. Grigorio , M. S. Guimaraes , R. Rougemont , C. Wotzasek

The role of monopoles in the confining behavior of compact lattice $QED_3$ is studied using an adiabatic cooling method. Monopole-antimonopole pairs with large separation suvive cooling and the presence or absence of such plasma monopoles…

High Energy Physics - Lattice · Physics 2009-10-22 Howard D. Trottier , R. M. Woloshyn

We investigate SU(2) lattice gauge theory in four dimensions in the maximally abelian projection. Studying the effects on different lattice sizes we show that the deconfinement transition of the fields and the percolation transition of the…

High Energy Physics - Lattice · Physics 2009-10-30 G. Damm , W. Kerler

The condensation of monopoles (dual superconductivity) of QCD vacuum is reviewed. Direct evidence is produced that the system, in the confined phase, is a dual superconductor.

High Energy Physics - Lattice · Physics 2016-11-03 Adriano di Giacomo

We review the physics of confinement based on non-Abelian dual superconductor picture, relying on exact solutions in N=2 supersymmetric QCD and based on the recent developments in our understanding of non-Abelian vortices and monopoles. The…

High Energy Physics - Phenomenology · Physics 2015-06-11 Kenichi Konishi

Confinement in QCD is caused by vacuum fluctuations of gluon fields. There are two numerically different scales, characterizing nonperturbative QCD vacuum dynamics: a "small" scale, corresponding to gluon condensate, critical temperature…

High Energy Physics - Phenomenology · Physics 2014-11-18 Yu. A. Simonov , V. I. Shevchenko

A gauge invariant procedure for extracting combined SO(3)-Z2 monopoles in positive-plaquette SU(2) lattice gauge theory is shown. When these monopoles are eliminated through a constraint, the theory deconfines for all $\beta$ on $12^4$ and…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Grady

The lectures, delivered at ECT (European Centre for Theoretical Studies in Nuclear Physics and Related Areas) in Trento (Italy) in 2002 and 2003, are addressed to physicists who wish to acquire a minimal background to understand present day…

High Energy Physics - Phenomenology · Physics 2015-06-25 G. Ripka

Monopole and photon contributions to abelian Wilson loops are calculated using Monte-Carlo simulations of finite-temperature $SU(2)$ QCD in the maximally abelian gauge. The string tension is reproduced by monopole contribution alone also in…

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

We propose to realize a mass gap in QCD not imposing the transversality condition on the full gluon self-energy, while preserving the color gauge invariance condition for the full gluon propagator. Since due to color confinement the gluon…

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

We report on new analyses of the topological and chiral vacuum structure of four-dimensional QCD on the lattice. Correlation functions as well as visualization of monopole currents in the maximally Abelian gauge emphasize their topological…

High Energy Physics - Lattice · Physics 2008-11-26 E. -M. Ilgenfritz , H. Markum , M. Müller--Preussker , W. Sakuler , S. Thurner

We study the vacuum structure and dyon spectrum of N=2 supersymmetric gauge theory in four dimensions, with gauge group SU(2). The theory turns out to have remarkably rich and physical properties which can nonetheless be described…

High Energy Physics - Theory · Physics 2010-04-07 N. Seiberg , E. Witten