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The structure of center vortices is studied in SU(4) Yang-Mills theory for the first time to illuminate the interplay between elementary (center charge $\pm 1$) and doubly charged vortices. Unlike in SU(3), where charge $+2$ vortices are…

High Energy Physics - Lattice · Physics 2025-07-22 Jackson A. Mickley , Derek B. Leinweber , Luis E. Oxman

Center projection of SU(2) lattice gauge theory allows to isolate magnetic vortices as confining configurations. The vortex density scales according to the renormalization group, implying that the vortices are physical objects rather than…

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

Quark confinement is perhaps the most important emergent property of the theory of quantum chromodynamics. Herein we review some key aspects of centre vortices in SU(3) lattice gauge theory. Starting from the original Monte Carlo gauge…

High Energy Physics - Lattice · Physics 2022-04-12 Waseem Kamleh , James Biddle , Derek B. Leinweber , Finn M. Stokes

The influence of centre vortices on dynamical chiral symmetry breaking is investigated through the light hadron spectrum on the lattice. Recent studies of the quark propagator and other quantities have provided evidence that centre vortices…

High Energy Physics - Lattice · Physics 2021-04-08 Amalie Trewartha , Waseem Kamleh , Derek Leinweber

Effective action of center vortices in SU(2) lattice gauge theory is investigated by studying the correlation between the action density on their worldsheets and their geometric properties. It turns out that center vortices are rigid,…

High Energy Physics - Lattice · Physics 2008-11-26 P. V. Buividovich , M. I. Polikarpov , V. I. Zakharov

We investigate the structure of center projected vortices of SU(2) lattice gauge theory at zero and finite temperature. At zero temperature we find, in agreement with the area law behaviour of Wilson loops, that most of the P-vortex…

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

Gluon field configurations with non-trivial topology like instantons, magnetic monopoles and center vortices play a crucial role in QCD and, in particular, for the spontaneous breaking of chiral symmetry. Moreover, center vortices are…

High Energy Physics - Lattice · Physics 2007-05-23 Stefan Solbrig , Jochen Gattnar , Christof Gattringer , Kurt Langfeld , Hugo Reinhardt , Andreas Schäfer , Torsten Tok

We report two probes of centre vortices in pure SU(2). First, we attempt to generate plaquette-size Z(2) vortices in a quasi-random way to compare the structure with those of projected centre vortices from the full theory; our prescription…

High Energy Physics - Lattice · Physics 2015-06-25 P. W. Stephenson

In d=3 SU(N) gauge theory, we study a scalar field theory model of center vortices that furnishes an approach to the determination of so-called k-string tensions. This model is constructed from string-like quantum solitons introduced…

High Energy Physics - Theory · Physics 2009-11-10 John M. Cornwall

We study the interplay between Dirac eigenmodes and center vortices in SU(2) lattice gauge theory. In particular we focus on vortex-removed configurations and compare them to an ensemble of configurations with random changes of the link…

High Energy Physics - Lattice · Physics 2009-11-10 Jochen Gattnar , Christof Gattringer , Kurt Langfeld , Hugo Reinhardt , Andreas Schafer , Stefan Solbrig , T. Tok

It is shown that the action associated with center vortices in SU(2) lattice gauge theory is strongly correlated with extrinsic and internal curvatures of the vortex surface and that this correlation persists in the continuum limit. Thus a…

High Energy Physics - Lattice · Physics 2008-11-26 P. V. Buividovich , M. I. Polikarpov

We present a variety of numerical data supporting the Center Vortex theory of confinement. A method is introduced for identifying the location of center vortices, in thermalized gauge-field configurations generated by lattice Monte Carlo.…

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

We study the relation between the flux of a center vortex obtained from the center vortex model and the flux formed between monopoles obtained from the Abelian gauge fixing method. Motivated by the Monte Carlo simulations which have shown…

High Energy Physics - Phenomenology · Physics 2016-02-17 Sedigheh Deldar , Seyed Mohsen Hosseini Nejad

It has been remarked in several previous works that the combination of center vortices and nexuses (a nexus is a monopole-like soliton whose world line mediates certain allowed changes of field strengths on vortex surfaces) carry…

High Energy Physics - Theory · Physics 2009-10-31 John M. Cornwall

The mass function of the nonperturbative quark propagator in SU(3) gauge theory shows only a weak dependence on the vortex content of the gauge configurations. Of particular note is the survival of dynamical mass generation on vortex-free…

High Energy Physics - Lattice · Physics 2013-10-28 Elyse-Ann O'Malley , Waseem Kamleh , Derek Leinweber , Peter Moran

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

The non-trivial ground-state vacuum fields of QCD form the foundation of matter. Using modern visualisation techniques, this presentation examines the microscopic structure of these fields. Of particular interest are the centre vortices…

High Energy Physics - Lattice · Physics 2022-05-26 Derek Leinweber , James Biddle , Waseem Kamleh

A brane-world $SU(5)$ GUT model with global non-Abelian vortices is constructed in six-dimensional spacetime. We find a solution with a vortex associated to $SU(3)$ separated from another vortex associated to $SU(2)$. This $3-2$ split…

High Energy Physics - Theory · Physics 2021-08-27 Masato Arai , Filip Blaschke , Minoru Eto , Masaki Kawaguchi , Norisuke Sakai

The dominance of center degrees of freedom is observed in SU(3) lattice gauge theory in maximal center gauge. The full asymptotic string tension is reproduced, after center projection, by the center elements alone. When center vortices are…

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

Vortices in the SU(2)--Higgs model: The presence of a fundamental Higgs in the SU(N)-Higgs model yields color screening at some finite distance. Whereas the transition to the Higgs "phase" is accompanied by a suppression of projected center…

High Energy Physics - Lattice · Physics 2008-11-26 Roman Bertle , Manfried Faber , Albert Hirtl