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We study the relation between instantons and monopoles in the abelian gauge. First, we investigate the monopole in the multi-instanton solution in the continuum Yang-Mills theory using the Polyakov gauge. At a large instanton density, the…

High Energy Physics - Lattice · Physics 2009-10-28 H. Suganuma , S. Sasaki , H. Ichie , F. Araki , O. Miyamura

We present a numerical study about the confining regime of compact U(1) lattice gauge theory in 4D. To address the problem, we exploit the duality properties of the theory. The main features of this method are presented, and its possible…

High Energy Physics - Lattice · Physics 2008-11-26 Marco Panero

We investigated the gauge (in)dependence of the confinement mechanism due to monopole condensation in SU(2) lattice QCD by various abelian projections. We found (1) the string tension can be reproduced by monopoles alone also in Polyakov…

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

The vortex picture of confinement is studied. The deconfinement phase transition is explained as a transition from a phase in which vortices percolate to a phase of small vortices. Lattice results are presented in support of this scenario.…

High Energy Physics - Theory · Physics 2009-10-31 H. Reinhardt , M. Engelhardt , K. Langfeld , M. Quandt , A. Sch"afke

Renormalization group (RG) smoothing is employed on the lattice to investigate and to compare the monopole structure of the SU(2) vacuum as seen in different gauges (maximally Abelian (MAG), Polyakov loop (PG) and Laplacian gauge (LG)).…

High Energy Physics - Lattice · Physics 2009-10-31 E. -M. Ilgenfritz , S. Thurner , H. Markum , M. M"uller-Preussker

Recent studies of confinement based on the idea of abelian monopole condensation are reviewed briefly. Emphasis is placed on the approach to get the effective monoole action using the blockspin transformation on the dual lattice. The…

High Energy Physics - Lattice · Physics 2007-05-23 Tsuneo Suzuki

We study the confinement physics in QCD in the maximally abelian (MA) gauge using the SU(2) lattice QCD, based on the dual-superconductor picture. In the MA gauge, off-diagonal gluon components are forced to be small, and the off-diagonal…

High Energy Physics - Lattice · Physics 2009-09-25 Hideo Suganuma , Hiroko Ichie , Kazuhisa Amemiya , Atsunori Tanaka

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

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

The confinement mechanism in the nonperturbative QCD is studied in terms of topological excitation as QCD-monopoles and instantons. In the 't Hooft abelian gauge, QCD is reduced into an abelian gauge theory with monopoles, and the QCD…

High Energy Physics - Lattice · Physics 2009-10-30 Hideo Suganuma , Masahiro Fukushima , Hiroko Ichie , Atsunori Tanaka

To check the dual superconductor picture for the quark-confinement mechanism, we evaluate monopole dominance as well as Abelian dominance of quark confinement for both quark-antiquark and three-quark systems in SU(3) quenched lattice QCD in…

High Energy Physics - Lattice · Physics 2019-06-11 Hideo Suganuma , Naoyuki Sakumichi

Nonneutral plasmas can be trapped for long times by means of combined electric and magnetic fields. Adiabatic cooling is achieved by slowly decreasing the trapping frequency and letting the plasma occupy a larger volume. We develop a fully…

Plasma Physics · Physics 2015-06-12 Giovanni Manfredi , Paul-Antoine Hervieux

We study Abelian monopole and vortex condensation in lattice pure gauge theories. Condensation is detected by means of a disorder parameter defined in terms of a gauge-invariant effective action introduced using the lattice Schr\"odinger…

High Energy Physics - Lattice · Physics 2009-11-07 Paolo Cea , Leonardo Cosmai

Quantum electrodynamics in a (2+1)-dimensional space-time has been object of studies both as effective theory for the pseudogap phase of high-T_c superconductors and for the theoretical investigation of mechanisms of confinement in presence…

High Energy Physics - Lattice · Physics 2007-05-23 Roberto Fiore , Pietro Giudice , Domenico Giuliano , Donatella Marmottini , Alessandro Papa , Pasquale Sodano

There are three types of monopole in gauge theories with fundamental matter and N=2 supersymmetry broken by a superpotential. There are unconfined 0-monopoles and also 1 and 2-monopoles confined respectively by one or two vortices…

High Energy Physics - Theory · Physics 2010-12-03 Roberto Auzzi , Stefano Bolognesi , Jarah Evslin

Topological configurations, monopoles and vortices, successfully describe quark confinement and the spontaneous breakdown of chiral symmetry. Despite their infinite action, these configurations are relevant due to a subtle cancellation…

High Energy Physics - Lattice · Physics 2014-11-20 Kurt Langfeld

Confinement is an intriguing phenomenon prevalent in condensed matter and high-energy physics. Exploring its effect on the far-from-equilibrium criticality of quantum many-body systems is of great interest both from a fundamental and…

Quantum Gases · Physics 2025-10-20 Jesse Osborne , Ian P. McCulloch , Jad C. Halimeh

Compact U(1) gauge theory in 3+1 dimensions possesses the confining phase, characterized by a linear raise of the potential between particles with opposite electric charges at sufficiently large inter-particle separation. The confinement is…

High Energy Physics - Lattice · Physics 2022-06-29 M. N. Chernodub , V. A. Goy , A. V. Molochkov , A. S. Tanashkin

We discuss implications of the recent measurements of the non-Abelian action density associated with the monopoles condensed in the confining phase of gluodynamics. The radius of the monopole determined in terms of the action was found to…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. I. Zakharov

Monte-Carlo simulations of abelian projection in $T \neq 0$ pure lattice QCD show that 1)\ Polyakov loops written in terms of abelian link fields alone play a role of an order parameter of deconfinement transition 2)\ the abelian Polyakov…

High Energy Physics - Lattice · Physics 2009-10-28 Yoshimi Matsubara , Sawut Ilyar , Tsuyoshi Okude , Kenji Yotsuji , Tsuneo Suzuki

We study the static potential between electric charges in the finite temperature three dimensional compact gauge theory on the lattice. We show that in the deconfinement phase at small separations between the charges the potential contains…

High Energy Physics - Lattice · Physics 2009-10-31 B. L. G. Bakker , M. N. Chernodub , A. I. Veselov