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In type-II superconductors, the dynamics of superconducting vortices determine their transport properties. In the Ginzburg-Landau theory, vortices correspond to topological defects in the complex order parameter. Extracting their precise…

Superconductivity · Physics 2015-06-23 C. L. Phillips , T. Peterka , D. Karpeyev , A. Glatz

The topological charge of center vortices is discussed in terms of the self-intersection number of the closed vortex surfaces in 4-dimensional Euclidian space-time and in terms of the temporal changes of the writhing number of the…

High Energy Physics - Theory · Physics 2009-11-07 H. Reinhardt

We study the representations of SU(2) lattice gauge theory in terms of sums over the worldsheets of center vortices and Z2 electric strings, i.e. surfaces which open on the Wilson loop. It is shown that in contrast to center vortices the…

High Energy Physics - Lattice · Physics 2008-01-03 M. I. Polikarpov , P. V. Buividovich

The topological susceptibility induced by center projection vortices extracted from SU(2) lattice Yang-Mills configurations via the maximal center gauge is measured. Two different smoothing procedures, designed to eliminate spurious…

High Energy Physics - Lattice · Physics 2008-11-26 R. Bertle , M. Engelhardt , M. Faber

We present numerical evidence that supports the theory of quark confinement based on center vortex condensation. We introduce a special gauge ("maximal center gauge") and center projection, suitable for identification of center vortices.…

High Energy Physics - Lattice · Physics 2007-05-23 L. Del Debbio , M. Faber , J. Greensite , S. Olejnik

The topological charge is constructed for SU(3) center vortex world-surfaces composed of elementary squares on a hypercubic lattice. In distinction to the SU(2) case investigated previously, it is necessary to devise a proper treatment of…

High Energy Physics - Lattice · Physics 2009-08-25 Michael Engelhardt

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

We consider the SU(2) lattice gauge model and investigate numerically the continuum limit of the simple center vortices which are singular configurations of the gauge fields. We found that the vortices remain alive in the continuum theory.…

High Energy Physics - Lattice · Physics 2016-09-01 B. L. G. Bakker , A. I. Veselov , M. A. Zubkov

To help understand the centre dominance picture of confinement, we look at Wilson loop distributions in pure SU(2) lattice gauge theory. A strong coupling approximation for the distribution is developed to use for comparisons. We perform a…

High Energy Physics - Lattice · Physics 2009-10-31 P. W. Stephenson

We study how Laplacian Center Gauge identifies the vortex content of a thick SU(2) vortex configuration on the lattice. This configuration is a solution of the Yang-Mills classical equations of motion having vortex properties. We find that…

High Energy Physics - Lattice · Physics 2009-11-07 Alvaro Montero

We find, in close analogy to abelian dominance in maximal abelian gauge, the phenomenon of center dominance in maximal center gauge for $SU(2)$ lattice gauge theory. Maximal center gauge is a gauge-fixing condition that preserves a residual…

High Energy Physics - Lattice · Physics 2008-11-26 L. Del Debbio , M. Faber , J. Greensite , S. Olejnik

We present a method to smear (center projected) $Z(2)$ vortices in lattice gauge configurations such as to embed vortex physics into a full $SU(2)$ gauge configuration framework. In particular, we address the problem that using $Z(2)$…

High Energy Physics - Lattice · Physics 2015-09-03 Roman Höllwieser , Michael Engelhardt

Lattice simulations and theoretical analyses consistently identify center vortices and monopoles as key nonperturbative configurations in Yang-Mills theory. In the continuum, the effective representation of mixed oriented and nonoriented…

High Energy Physics - Theory · Physics 2026-03-27 David R. Junior , Gastão Krein , Luis E. Oxman , Bruno R. Soares

Magnetic topological defects are energetically stable spin configurations characterized by symmetry breaking. Vortices and skyrmions are two well-known examples of 2D spin textures that have been actively studied for both fundamental…

In this review, we discuss various properties of topological solitons in dense QCD matter, with a particular emphasis on the CFL phase exhibiting superfluidity and superconductivity, and their phenomenological implications in terms of the…

High Energy Physics - Phenomenology · Physics 2014-02-04 Minoru Eto , Yuji Hirono , Muneto Nitta , Shigehiro Yasui

Starting from the strong-coupling SU(2) Wilson action in D=3 dimensions, we derive an effective, semi-local action on a lattice of spacing L times the spacing of the original lattice. It is shown that beyond the adjoint color-screening…

High Energy Physics - Lattice · Physics 2009-10-31 M. Faber , J. Greensite , S. Olejnik

The random vortex world-surface model is extended to the gauge groups SU(4) and Sp(2). Compared to the SU(2) and SU(3) models studied previously, which reproduce the infrared properties of the corresponding Yang-Mills theories on the basis…

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

We investigate the topological structure of the vacuum in SU(3) lattice gauge theory. We use under-relaxed cooling to remove the high-frequency fluctuations and a variety of "filters" to identify the topological charges in the resulting…

High Energy Physics - Lattice · Physics 2016-08-25 Douglas A. Smith , Michael J. Teper

We examine the formation of vortices during the nonequilibrium relaxation of a high-temperature initial state of an Abelian-Higgs system. We equilibrate the scalar and gauge fields using gauge-invariant Langevin equations and relax the…

Superconductivity · Physics 2011-07-19 G. J. Stephens , Luis M. A. Bettencourt , W. H. Zurek

We report measurements of the action associated with center vortices in SU(2) pure lattice gauge theory. In the lattice units the excess of the action on the plaquettes belonging to the vortex is approximately a constant, independent on the…

High Energy Physics - Lattice · Physics 2015-06-25 F. V. Gubarev , A. V. Kovalenko , M. I. Polikarpov , S. N. Syritsyn , V. I. Zakharov
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