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Related papers: Monopole-center vortex chains in $SU(2)$ gauge the…

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Monopole and photon contributions to Wilson loops are calculated using Monte-Carlo simulations of SU(2) QCD in the maximally abelian gauge. The string tensions of SU(2) QCD are well reproduced by extended monopole contributions alone.

High Energy Physics - Lattice · Physics 2008-02-03 Hiroshi Shiba , Tsuneo Suzuki

There exist several types of monopole - like topological defects in Electroweak theory. We investigate properties of these objects using lattice numerical methods. The intimate connection between them and the dynamics of the theory is…

High Energy Physics - Lattice · Physics 2015-07-28 B. L. G. Bakker , A. I. Veselov , M. A. Zubkov

The question whether the center vortex picture of the strongly interacting vacuum can encompass the infrared dynamics of both SU(2) as well as Sp(2) Yang-Mills theory is addressed. These two theories contain the same center vortex degrees…

High Energy Physics - Lattice · Physics 2008-11-26 M. Engelhardt , B. Sperisen

Recent lattice calculations performed at zero temperature and in the maximal center gauge indicate that quark confinement can be understood in this gauge as due to fluctuations in the number of magnetic vortices piercing a given Wilson…

High Energy Physics - Lattice · Physics 2009-10-31 K. Langfeld , O. Tennert , M. Engelhardt , H. Reinhardt

SU(2) gluodynamics is investigated numerically and analytically in the (Indirect) Maximal Center gauge at finite temperature. The center vortices are shown to be condensed in the confinement phase and dilute in the deconfinement phase. A…

High Energy Physics - Lattice · Physics 2010-05-27 M. N. Chernodub , M. I. Polikarpov , A. I. Veselov , M. A. Zubkov

Inspired by direct and indirect maximal center gauge methods which confirm the existence of vortices in lattice calculations and by using the connection formalism, we show that under some appropriate gauge transformations vortices and…

High Energy Physics - Lattice · Physics 2022-05-23 Zahra Asmaee , Sedigheh Deldar , Motahareh Kiamari

We discuss the large-distance approximation of the monopole-vortex complex soliton in a hierarchically broken gauge system, SU(N+1) - > SU(N) x U(1) - > 1, in a color-flavor locked SU(N) symmetric vacuum. The ('t Hooft-Polyakov) monopole of…

High Energy Physics - Theory · Physics 2015-06-22 Chandrasekhar Chatterjee , Kenichi Konishi

We explore simulations on periodic lattices in the Tomboulis $SO(3) \times Z(2)$ formulation. We measure gauge invariant vortex counters for "thin", "thick" and "hybrid" vortex sheets in order to tag Wilson loops by the occurance of gauge…

High Energy Physics - Lattice · Physics 2007-05-23 A. Alexandru , R. W. Haymaker

Behavior of static axially symmetric monopole-antimonopole and vortex ring solutions of the SU(2) Yang-Mills-Higgs theory in an external uniform magnetic field is considered. It is argued that the axially symmetric monopole-antimonopole…

High Energy Physics - Theory · Physics 2009-11-11 Yasha Shnir

The phase diagram of five-dimensional SU(2) gauge theories is explored using Monte Carlo simulations of the theory discretized on a Euclidean lattice using the Wilson plaquette action and periodic boundary conditions. We simulate…

High Energy Physics - Lattice · Physics 2015-05-30 Francesco Knechtli , Magdalena Luz , Antonio Rago

We show that gauge invariant definition of thin, thick and hybrid center vortices, defined by Kovacs and Tomboulis on SO(3) x Z(2) configurations, can also be defined in SU(2). We make this connection using the freedom of choosing a…

High Energy Physics - Lattice · Physics 2009-11-07 Andrei Alexandru , Richard W. Haymaker

We investigate monopoles in four-dimensional compact U(1) with Wilson action. We focus our attention on monopole clusters as they can be identified unambiguously contrary to monopole loops. We locate the clusters and determine their…

High Energy Physics - Lattice · Physics 2009-10-22 A. Bode , Th. Lippert , K. Schilling

In this series of three papers, we generalize the derivation of dual photons and monopoles by Polyakov, and Banks, Myerson and Kogut, to obtain approximative models of SU(2) lattice gauge theory. Our approach is based on stationary phase…

High Energy Physics - Theory · Physics 2007-06-13 Florian Conrady

Intersections of thick, plane SU(2) center vortices are characterized by the topological charge |Q|=1/2. We compare such intersections with the distribution of zeromodes of the Dirac operator in the fundamental and adjoint representation…

High Energy Physics - Lattice · Physics 2011-06-22 Roman Höllwieser , Manfried Faber , Urs M. Heller

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

By fixing lattice Yang-Mills configurations to the maximal center gauge and subsequently applying the technique of center projection, one can identify center vortices in these configurations. Recently, center vortices have been shown to…

High Energy Physics - Lattice · Physics 2008-11-26 M. Engelhardt , K. Langfeld , H. Reinhardt , O. Tennert

Centre-vortex surfaces are mapped out in four dimensions within the framework of SU(3) lattice gauge theory to understand the role of secondary loops that develop in three-dimensional visualisations of centre-vortex structure, appearing…

High Energy Physics - Lattice · Physics 2025-09-17 Jackson A. Mickley , Chris Allton , Ryan Bignell , Derek B. Leinweber

It is well known that the Dirac monopole solution with the U(1) gauge group embedded into the group SU(2) is equivalent to the SU(2) Wu-Yang point monopole solution having no Dirac string singularity. We consider a multi-center…

High Energy Physics - Theory · Physics 2009-11-10 Alexander D. Popov

A single magnetic monopole in pure SU(2) gauge theory is simulated on the lattice and its mass is computed in the full quantum theory. The results are relevant for our proposed realization of the dual superconductor hypothesis of…

High Energy Physics - Lattice · Physics 2009-10-22 J. Smit , A. J. van der Sijs

We compute, in SU(3) pure gauge theory, the vacuum expectation value (vev) of the operator which creates a $Z_3$ vortex wrapping the lattice through periodic boundary conditions (dual Polyakov line). The technique used is the same already…

High Energy Physics - Lattice · Physics 2009-10-31 L. Del Debbio , A. Di Giacomo , B. Lucini
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