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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

We propose a new approach towards the understanding of confinement. Starting from an anisotropic five dimensional pure gauge theory, we approach a second order phase transition where the system reduces dimensionally. Dimensional reduction…

High Energy Physics - Lattice · Physics 2010-05-12 Nikos Irges , Francesco Knechtli

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

We propose a gauge-independent mechanism for the area-law behavior of Wilson loop expectation values in terms of worldsheets spanning Wilson loops interacting with the spin foams that contribute to the vacuum partition function. The method…

High Energy Physics - Lattice · Physics 2010-05-07 J. Wade Cherrington

The dual superconductor picture of the QCD vacuum is thought to describe various aspects of the strong interaction including confinement. Ordinary superconductivity is described by the Ginzburg-Landau (GL) equation. In the present work we…

High Energy Physics - Theory · Physics 2009-11-07 Vladimir Dzhunushaliev , Douglas Singleton

An approach to studying lattice gauge models in the weak coupling region is proposed. Conceptually, it is based on the crucial role of the original Z(N) symmetry and the invariant gauge group measure. As an example, we calculate an…

High Energy Physics - Lattice · Physics 2007-05-23 O. A. Borisenko , V. K. Petrov , G. M. Zinovjev , J. Boháčik

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

We study monopoles and gluon fields in QCD in the maximally abelian (MA) gauge in the context of the dual superconductor picture for confinement. In the abelian gauge, unit-charge magnetic monopoles appear, but multi-charge monopoles do not…

High Energy Physics - Lattice · Physics 2009-10-31 Hiroko Ichie , Hideo Suganuma

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

We analyze a two dimensional SU(3) gauge model of Wilson lines as a dimensionally reduced model of high temperature QCD_3. In contrast to perturbative dimensional reduction it has an explicit global Z(3) symmetry in the action. The phase…

High Energy Physics - Lattice · Physics 2009-11-10 P. Bialas , A. Morel , B. Petersson

Pure lattice gauge theories in three dimensions are widely expected to confine. A rigorous proof of confinement for three-dimensional $\mathrm{U}(1)$ lattice gauge theory with Villain action was given by G\"opfert and Mack. Beyond the…

Mathematical Physics · Physics 2026-02-03 Sourav Chatterjee

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

We study the deconfinement phase transition and monopole properties in the finite temperature 3D compact Abelian gauge model on the lattice. We predict the critical coupling as function of the lattice size in a simplified model to describe…

High Energy Physics - Lattice · Physics 2009-11-07 M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

Gauge theories, while describing fundamental interactions in nature, also emerge in a wide variety of physical systems. Abelian gauge fields have been predicted and observed in a number of novel quantum many-body systems, topological…

Mesoscale and Nanoscale Physics · Physics 2016-06-02 T. Li , L. A. Yeoh , A. Srinivasan , O. Klochan , D. A. Ritchie , M. Y. Simmons , O. P. Sushkov , A. R Hamilton

The confinement scenario in Maximally Abelian gauge (MAG) is based on the concepts of Abelian dominance and of dual superconductivity. Recently, several groups pointed out the possible existence in MAG of ghost and gluon condensates with…

High Energy Physics - Lattice · Physics 2008-11-26 Tereza Mendes , Attilio Cucchieri , Antonio Mihara

This paper complements a new lattice formulation of SU(2) Yang-Mills theory written in terms of new variables in a compact form proposed in the previous paper. The new variables used in the formulation were once called the…

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

We propose a new approach to strong coupling series and dual representations for non-abelian lattice gauge theories using the SU(2) case as an example. The Wilson gauge action is written as a sum over "abelian color cycles" (ACC) which…

High Energy Physics - Lattice · Physics 2017-03-08 Christof Gattringer , Carlotta Marchis

Renormalization group transformations as discussed recently in deriving fixed point actions are used to analyse the vacuum structure near to the deconfinement temperature. Monte Carlo configurations are generated using the fixed point…

High Energy Physics - Lattice · Physics 2009-10-28 M. Feurstein , E. -M. Ilgenfritz , M. Müller-Preussker , S. Thurner

We derive a solution of type IIB supergravity which is asymptotic to AdS_5 x S^5, has SO(6) symmetry, and exhibits some of the features expected of geometries dual to confining gauge theories. At the linearized level, the solution differs…

High Energy Physics - Theory · Physics 2007-05-23 Steven S. Gubser

We consider a non-uniqueness problem of gauge invariant nucleon spin decomposition. A gauge invariant decomposition with a generalized Coulomb constraint for the physical gluon has been constructed. The decomposition scheme is consistent…

High Energy Physics - Phenomenology · Physics 2012-04-24 D. G. Pak , P. M. Zhang