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In most Yang-Mills models the vacuum where magnetic monopoles condense coincides with that where center vortices percolate, thus it is not clear which of these two properties is most directly involved in producing confinement. It is pointed…

High Energy Physics - Lattice · Physics 2008-11-26 F. Gliozzi

We study the correlation between instantons and QCD-monopoles both in the lattice gauge theory and in the multi-instanton system using the maximally abelian gauge. First, we find the existence of an almost linear correlation between the…

High Energy Physics - Lattice · Physics 2007-05-23 Shoichi Sasaki , Masahiro Fukushima , Atsunori Tanaka , Hideo Suganuma , Hiroshi Toki , Osamu Miyamura , Dmitri Diakonov

Motivated by recent literature on the possible existence of a second higher-temperature phase transition in Quantum Chromodynamics, we revisit the proposal that colour confinement is related to the dynamics of magnetic monopoles using…

High Energy Physics - Lattice · Physics 2025-02-03 Xavier Crean , Jeffrey Giansiracusa , Biagio Lucini

We present results for the heavy quark potential computed in SU(3) from magnetic monopoles and from center vortices. The monopoles are identified after fixing SU(3) lattice configurations to the maximal abelian gauge. The center vortices…

High Energy Physics - Lattice · Physics 2009-10-31 Roy Wensley , John Stack

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 investigated a behavior of monopole currents in the high temperature phase of abelian projected finite temperature SU(2) QCD in maximally abelian gauge. Wrapped monopole currents which are closed by periodic boundary play an important…

High Energy Physics - Lattice · Physics 2009-10-28 Shinji Ejiri

We (try to) pedagogically explain how monopoles arise in QCD, why maximal Abelian(MA) gauge is ``special'' for monopole study, the Abelian projection in MA gauge, its resultant degrees of freedom(photons, monopoles and charged matter…

High Energy Physics - Phenomenology · Physics 2011-04-15 Ken Yee

Finite temperature SU(2) lattice gauge theory is investigated in a 3D cubic box with fixed boundary conditions provided by a discretized, static BPS monopole solution with varying core scale $\mu$. Using heating and cooling techniques we…

High Energy Physics - Lattice · Physics 2011-09-13 E. -M. Ilgenfritz , S. V. Molodtsov , M. Müller-Preussker , A. I. Veselov

Within the context of the Abelian Projection of QCD monopole-like quantum excitations of gauge fields are studied. We start with certain classical solutions, of the SU(2) Yang-Mills field equations, which are not monopole-like and whose…

High Energy Physics - Lattice · Physics 2014-11-17 V. Dzhunushaliev , D. Singleton

We investigate the influence of the granularity of the lattice on the potential between monopoles. Using the flux definition of monopoles we introduce their centers of mass and are able to realize continuous shifts of the monopole…

High Energy Physics - Lattice · Physics 2016-09-01 H. Bozkaya , M. Faber , P. Koppensteiner , M. Pitschmann

Confinement is a paradigmatic phenomenon of gauge theories, and its understanding lies at the forefront of high-energy physics. Here, we study confinement in a simple one-dimensional $\mathbb{Z}_2$ lattice gauge theory at finite temperature…

Quantum Gases · Physics 2025-09-23 Matjaž Kebrič , Jad C. Halimeh , Ulrich Schollwöck , Fabian Grusdt

We study confinement of matter fields in the effective compact (2+1)-dimensional QED theory of high-$T_{c}$ superconductors. It is shown that the monopole configurations do not affect the propagator of gauge potential $a_{\mu}$. Based on…

Superconductivity · Physics 2009-11-10 Guo-Zhu Liu

Compact U(1) lattice gauge theory in four dimensions is studied by means of an efficient algorithm which exploits the duality transformation properties of the model. We focus our attention onto the confining regime, considering the…

High Energy Physics - Lattice · Physics 2009-02-07 Marco Panero

We study the role of magnetic monopoles at high enough temperature $T>2T_c$, when they can be considered heavy, rare objects embedded into matter consisting mostly of the usual "electric" quasiparticles, quarks and gluons. We review…

High Energy Physics - Phenomenology · Physics 2009-09-02 Claudia Ratti , Edward Shuryak

Electron hopping models on the honeycomb lattice are studied. The lattice consists of two triangular sublattices, and it is non-Bravais. The dual space has non-trivial topology. The gauge fields of Bloch electrons have the U(1) symmetry and…

Mesoscale and Nanoscale Physics · Physics 2009-08-11 Mahito Kohmoto

Condensation of the Abelian monopoles and the center vortices leads to confinement of color in low temperature phase of Yang-Mills theory. We stress that these topological magnetic degrees of freedom are also very important in the…

High Energy Physics - Phenomenology · Physics 2009-06-25 M. N. Chernodub , Atsushi Nakamura , V. I. Zakharov

In this letter we consider models with N U(1) gauge fields together with N Kalb-Ramond fields in the large N limit. These models can be solved explicitely and exhibit confinement for a large class of bare actions. The confining phase is…

High Energy Physics - Theory · Physics 2009-11-07 U. Ellwanger , N. Wschebor

The effect of restricting the plaquette ($1\times 1$ Wilson loop) to be greater than a certain cutoff is studied. The action considered is the standard Wilson action with the addition of the plaquette restriction, which does not affect the…

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

We study abelian dominance and monopole condensation for the quark confinement physics using the lattice QCD simulations in the MA gauge. These phenomena are closely related to the dual superconductor picture of the QCD vacuum, and enable…

High Energy Physics - Phenomenology · Physics 2009-10-31 Y. Koma , H. Suganuma , K. Amemiya , M. Fukushima , H. Toki

We consider, from several complementary perspectives, the physics of confinement and deconfinement in the 2+1 dimensional Georgi-Glashow model. Polyakov's monopole plasma and 't Hooft's vortex condensation are discussed first. We then…

High Energy Physics - Theory · Physics 2016-11-23 Ian I. Kogan , Alex Kovner