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Related papers: Center Projection Vortices in Continuum Yang-Mills…

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The properties of center vortices are discussed within continuum Yang-Mills theory. By starting from the lattice theory and carefully performing the continuum limit the gauge potential of center vortices is obtained and the continuum analog…

High Energy Physics - Theory · Physics 2017-08-23 H. Reinhardt , M. Engelhardt

We discuss the implementation of the ``direct'' maximal center gauge (a gauge which maximizes the lattice average of the squared-modulus of the trace of link variables), and its use in identifying Z(2) center vortices in Yang-Mills vacuum…

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

Resorting to the the Laplace center gauge (LCG) and to the Maximal-center gauge (MCG), respectively, confining vortices are defined by center projection in either case. Vortex properties are investigated in the continuum limit of SU(2)…

High Energy Physics - Lattice · Physics 2014-11-17 K. Langfeld , H. Reinhardt , A. Schafke

Lattice calculations performed in Abelian gauges give strong evidence that confinement is realized as a dual Meissner effect, implying that the Yang-Mills vacuum consists of a condensate of magnetic monopoles. Alternative lattice…

High Energy Physics - Theory · Physics 2007-05-23 H. Reinhardt

A definition of the Pontryagin index for SU(2) center vortex world-surfaces composed of plaquettes on a hypercubic lattice is constructed. It is used to evaluate the topological susceptibility in a previously defined random surface model…

High Energy Physics - Lattice · Physics 2009-10-31 Michael Engelhardt

We present several new results which pertain to the successes of center projection in maximal center gauge (MCG). In particular, we show why any center vortex, inserted "by hand" into a thermalized lattice configuration, will be among the…

High Energy Physics - Lattice · Physics 2015-06-25 M. Faber , J. Greensite , S. Olejnik , D. Yamada

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

The topological properties of magnetic monopoles and center vortices arising, respectively, in Abelian and center gauges are studied in continuum Yang-Mills Theory. For this purpose the continuum analog of the maximum center gauge is…

High Energy Physics - Lattice · Physics 2015-06-25 H. Reinhardt , M. Engelhardt , K. Langfeld , M. Quandt , A. Schafke

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

We present a new way of fixing the gauge to (direct) maximal center gauge in SU(N) Yang-Mills theory and apply this method to SU(3) configurations which are vortex-like. We study the structure of the Z_3 configurations obtained after…

High Energy Physics - Lattice · Physics 2009-10-31 A. Montero

By using the method of center projection the center vortex part of the gauge field is isolated and its propagator is evaluated in the center Landau gauge, which minimizes the open 3-dimensional Dirac volumes of non-trivial center links…

High Energy Physics - Lattice · Physics 2007-05-23 Kurt Langfeld , Hugo Reinhardt , Gunnar Schulze

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

An analysis of the geometry and structure of centre vortices in the presence of dynamical fermions is performed. A variety of metrics are used to measure the matrix structure of the vortex-modified gauge fields. Visualisations of centre…

High Energy Physics - Lattice · Physics 2023-05-31 James C. Biddle , Waseem Kamleh , Derek B. Leinweber

By using the method of center projection the center vortex part of the gauge field is isolated and its propagator is evaluated in the center Landau gauge, which minimizes the open 3-dimensional Dirac volumes of non-trivial center links…

High Energy Physics - Lattice · Physics 2009-11-11 K. Langfeld , G. Schulze , H. Reinhardt

The high-temperature phase of SU(2) Yang-Mills theory is addressed by means of dimensional reduction with a special emphasis on the properties of center vortices. For this purpose, the vortex vacuum which arises from center projection is…

High Energy Physics - Lattice · Physics 2009-10-31 J. Gattnar , K. Langfeld , A. Schafke , H. Reinhardt

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 investigate the structure of center vortices in maximal center gauge of SU(2) lattice gauge theory at zero and finite temperature. In center projection the vortices (called P-vortices) form connected two dimensional surfaces on the dual…

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

A model for the infrared sector of SU(2) Yang-Mills theory, based on magnetic vortices represented by (closed) random surfaces, is presented. The random surfaces, governed by an action penalizing curvature, are investigated using Monte…

High Energy Physics - Theory · Physics 2007-05-23 M. Engelhardt , M. Faber , H. Reinhardt

We consider the SU(2) lattice gauge model. We propose a new gauge invariant definition of center projection, which we call the Simple Center Projection. We demonstrate the center dominance, i.e., the coincidence of the projected potential…

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

We argue that in the infrared regime of continuum Yang-Mills theory, the possibility of a mass gap in the charged sector is closely associated with the center vortex sector. The analysis of the possible consequences of the ensembles of…

High Energy Physics - Theory · Physics 2009-03-24 L. E. Oxman
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