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An effective theory based on ensembles of either regular gauge instantons or merons is shown to produce confinement in SU(2) Yang-Mills theory. When the scale is set by the string tension, the action density, topological susceptibility and…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Lenz , J. W. Negele , M. Thies

We study a model of quantum Yang-Mills theory with a finite number of gauge invariant degrees of freedom. The gauge field has only a finite number of degrees of freedom since we assume that space-time is a two dimensional cylinder. We…

High Energy Physics - Theory · Physics 2011-07-19 K. S. Gupta , R. J. Henderson , S. G. Rajeev , O. T. Turgut

The analysis of (2+1)-dimensional Yang-Mills ($YM_{2+1})$ theory via the use of gauge-invariant matrix variables is reviewed. The vacuum wavefunction, string tension, the propagator mass for gluons, its relation to the magnetic mass for…

High Energy Physics - Theory · Physics 2009-11-07 V. P. Nair

The dual Meissner effect scenario of confinement is discussed by studying the low energy regime of SU(2) Yang-Mills in a maximal Abelian gauge. The Abelian projected effective action is computed perturbatively. This serves as an input for a…

High Energy Physics - Theory · Physics 2016-09-06 Filipe Freire

We summarize recent nonperturbative results obtained for the thermodynamics of an SU(2) and an SU(3) Yang-Mills theory being in its confining (center) phase. This phase is associated with a dynamical breaking of the local magnetic center…

High Energy Physics - Theory · Physics 2007-05-23 Ralf Hofmann

We examine the mechanical matrix model that can be derived from the SU(2) Yang-Mills light-cone field theory by restricting the gauge fields to depend on the light-cone time alone. We use Dirac's generalized Hamiltonian approach. In…

High Energy Physics - Theory · Physics 2007-05-23 V. P. Gerdt , A. M. Khvedelidze , D. M. Mladenov

The dual Meissner effect scenario of confinement is analysed using exact renormalisation group (ERG) equations. In particular, the low energy regime of SU(2) Yang-Mills is studied in a maximal Abelian gauge. It is shown that under general…

High Energy Physics - Theory · Physics 2007-05-23 Filipe Freire

The dual superconductivity is a promising mechanism for quark confinement. We have presented a new formulation of the Yang-Mills theory on the lattice that enables us to change the original non-Abelian gauge field into the new field…

High Energy Physics - Lattice · Physics 2017-01-16 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

We use 't Hooft loops of maximal size on finite lattices to calculate the free energy in the sectors of SU(2) Yang-Mills theory with fixed electric flux as a function of temperature and (spatial) volume. Our results provide evidence for the…

High Energy Physics - Lattice · Physics 2013-05-29 Philippe de Forcrand , Lorenz von Smekal

We propose that the SU(2) Yang-Mills theory can be interpreted as a two-band dual superconductor with an interband Josephson coupling. We discuss various consequences of this interpretation including electric flux quantization, confinement…

High Energy Physics - Theory · Physics 2009-11-10 Antti J. Niemi

Using the recently proposed non-linear gauge condition, we show the area law behavior of the Wilson loop and the linear dependence of the instantaneous gluon propagator. The field configurations responsible for confinement are those in the…

High Energy Physics - Theory · Physics 2009-10-31 Jose A. Magpantay

Features of screening and confinement are studied for the coupling of axial torsion fields with photons in the presence of an external electromagnetic field. To this end we compute the static quantum potential. Our discussion is carried out…

High Energy Physics - Theory · Physics 2009-12-21 Patricio Gaete , José A. Helaÿel-Neto

We provide the reformulations of Yang-Mills theories in terms of gauge invariant metric-like variables in three and four dimensions. The reformulations are used to analyze the dimension two gluon condensate and give gauge invariant…

High Energy Physics - Theory · Physics 2016-02-01 Zhi-Qiang Guo

Abelian theories in three dimensions can have linearly confining phases as a result of monopole-instantons, as shown, for SU(2) Yang-Mills theory broken to its abelian subgroup, by Polyakov. In this article the generalization of this phase…

High Energy Physics - Theory · Physics 2016-11-23 Matthew J. Strassler

We formulate N=2 twisted super Yang-Mills theory with a gauged central charge by superconnection formalism in two dimensions. We obtain off-shell invariant supermultiplets and actions with and without constraints, which is in contrast with…

High Energy Physics - Theory · Physics 2014-05-07 Keisuke Asaka , Junji Kato , Noboru Kawamoto , Akiko Miyake

We compute the two-point correlation of the energy density for the massless mode in deconfining SU(2) Yang-Mills thermodynamics and point towards a possible application for the physics of cold, dilute, and stable clouds of atomic hydrogen…

High Energy Physics - Theory · Physics 2009-02-11 Jochen Keller , Ralf Hofmann , Francesco Giacosa

The Gribov--Zwanziger scenario attributes the phenomenon of confinement to the instantaneous interaction term in the QCD Hamiltonian in the Coulomb gauge. For a static quark-antiquark pair, it leads to a potential energy that increases…

Applying the static Yang-Mills Maxwell equations to a simple system of SU(2) charges with spherical symmetry and confining boundary conditions provides for a demonstration of the likelihood that the confinement mechanism in non-Abelian…

High Energy Physics - Phenomenology · Physics 2019-05-07 Dennis Sivers

The binary interaction of large size instantons in a SU(2) Yang-Mills theory is obtained from the one-loop effective action for the field strength. The instanton interaction is calculated as a function of the instanton separation and in…

High Energy Physics - Phenomenology · Physics 2009-10-28 K. Langfeld , H. Reinhardt

We compute the effective potential of SU(2) Yang-Mills theory using the background field method and the Faddeev-Niemi decomposition of the gauge fields. In particular, we find that the potential will depend on the values of two scalar…

High Energy Physics - Theory · Physics 2009-11-07 Lisa Freyhult