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Related papers: String tension from gauge invariant Magnetic Monop…

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We perform lattice Monte-Carlo simulations of pure SU(2) QCD using the multi-level method. We find Abelian dominance in local unitary gauges such as those diagonalizing a plaquette. A static potential described by Abelian link fields alone…

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

We study monopoles and vortices in SU(2) lattice gauge theory on a 24**4 lattice at beta=2.50. We find a value of fundamental string tension from monopoles in the maximum Abelian gauge consistent with the full SU(2) value. Using direct and…

High Energy Physics - Lattice · Physics 2007-05-23 John D. Stack , William W. Tucker , Alistair Hart

Field correlators and the string representation are used as two complementary approaches for the description of confinement in the SU(N)-inspired dual Abelian-Higgs-type model. In the London limit of the simplest, SU(2)-inspired, model,…

High Energy Physics - Theory · Physics 2009-11-10 Dmitri Antonov , Dietmar Ebert

We present the first implementation of the Cho--Faddeev--Niemi decomposition of the SU(2) Yang-Mills field on a lattice. Our construction retains the color symmetry (global SU(2) gauge invariance) even after a new type of Maximally Abelian…

High Energy Physics - Lattice · Physics 2010-04-05 S. Kato , K. -I. Kondo , T. Murakami , A. Shibata , T. Shinohara , S. Ito

The general problem of obtaining reliable results from gauge-fixing and projection is discussed. It is shown that the usual form of the maximal abelian gauge gives poor results for the string tension in SU(3) lattice gauge theory. A…

High Energy Physics - Lattice · Physics 2007-05-23 John D. Stack , William W. Tucker , Roy J. Wensley

We investigate the properties of thermal abelian magnetic monopoles in the high temperature phase of Yang--Mills theories, following a recent proposal for their identification on lattice configurations. The study is done for SU(2) pure…

High Energy Physics - Lattice · Physics 2008-11-26 Alessio D'Alessandro , Massimo D'Elia

We discuss within the weak-field approximation and the derivative expansion how the area law of the Wilson loop follows directly from the vacuum condensate of mass dimension 2, i.e., simultaneous Bose-Einstein condensation of gluon pair and…

High Energy Physics - Theory · Physics 2007-05-23 K. -I. Kondo , T. Imai

Various dynamical regimes associated with confined monopoles in the Higgs phase of N=2 two-flavor QCD are studied. The microscopic model we deal with has the SU(2)xU(1) gauge group, with a Fayet-Iliopoulos term of the U(1) factor, and large…

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

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

A systematic approach to the description of gauge invariant charges is presented and applied to the construction of both the static colour charge configuration in QCD and the monopole solution in pure SU(2). The gauge invariant non-abelian…

High Energy Physics - Theory · Physics 2009-09-29 R Horan , A Khvedelidze , M Lavelle , D McMullan

Lattice calculations performed in Abelian gauges give strong evidence that confinement is realized as a dual Meissner effect, implying that the Yang--Mills vacuum consists of a condensate of magnetic monopoles. We show in Polyakov gauge how…

High Energy Physics - Theory · Physics 2009-10-31 H. Reinhardt

We use effective magnetic SU(N) pure gauge theory with cutoff M and fixed gauge coupling g_m to calculate non-perturbative magnetic properties of the deconfined phase of SU(N) Yang-Mills theory. We obtain the response to an external closed…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Baker

We study the Abelian projection of quark confinement in SU(3) quenched lattice QCD, in terms of the dual superconductor picture. In the maximal Abelian gauge, we perform the Cartan decomposition of the non-Abelian gauge field on a $32^4$…

High Energy Physics - Lattice · Physics 2015-03-10 Naoyuki Sakumichi , Hideo Suganuma

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

In this paper we improve the existing order parameter for monopole condensation in gauge theory vacuum, making it gauge-invariant from scratch and free of the spurious infrared problems which plagued the old one. Computing the new parameter…

High Energy Physics - Lattice · Physics 2021-03-17 Adriano Di Giacomo

A discussion is given of the confinement mechanism in terms of the Abelian projection scheme, for a general number Nc of colors. There is a difficulty in the Nc to infinity limit that requires a careful treatment, as the charges of the…

High Energy Physics - Theory · Physics 2017-08-23 Gerard 't Hooft

Abelian and nonabelian gauge invariant states are directly compared to revisit how the unconfined abelian theory is expressed. It is argued that the Yang-Mills equations have no obvious physical content apart from their relation to…

High Energy Physics - Theory · Physics 2007-05-23 Richard S. Wittman

We review some recent developments on BPS string solutions and monopole confinement in the Higgs or (color) superconducting phase of deformed N=2 and N=4 super Yang-Mills theories. In particular, the monopole magnetic fluxes are shown to be…

High Energy Physics - Theory · Physics 2007-05-23 Marco A. C. Kneipp

We study the density and spatial distribution of thermal Abelian monopoles in the deconfined phase of SU(2) pure gauge theory: they display non-trivial interactions with a well defined continuum limit. The Maximal Abelian Gauge (MAG) has…

High Energy Physics - Lattice · Physics 2009-06-25 A. D'Alessandro , M. D'Elia

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