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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…

高能物理 - 理论 · 物理学 2026-03-27 David R. Junior , Gastão Krein , Luis E. Oxman , Bruno R. Soares

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…

高能物理 - 理论 · 物理学 2007-05-23 M. Engelhardt , M. Faber , H. Reinhardt

By means of lattice calculations, center vortices have been established as the infrared dominant gauge field configurations of Yang-Mills theory. In this work, we investigate an ensemble of center vortices in D = 3 Euclidean space-time…

高能物理 - 理论 · 物理学 2018-05-17 L. E. Oxman , H. Reinhardt

A model for the infrared sector of SU(2) Yang-Mills theory, based on magnetic vortices represented by (closed) random surfaces, is presented. The model quantitatively describes both confinement (including the finite-temperature transition…

高能物理 - 格点 · 物理学 2008-11-26 M. Engelhardt , M. Faber , H. Reinhardt

The vacuum of Yang-Mills theories can be imagined as a magnetically disordered medium with domain structure, with color magnetic flux in each domain quantized in units corresponding to the gauge group center. This model leads to the…

高能物理 - 格点 · 物理学 2011-07-14 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 model quantitatively describes both confinement and the topological aspects of Yang-Mills…

高能物理 - 格点 · 物理学 2007-05-23 M. Engelhardt , M. Faber , H. Reinhardt

A model for the infrared sector of Yang-Mills theory based on magnetic vortices represented by (closed) random surfaces is investigated using lattice Monte Carlo methods. The random surfaces are governed by a surface area action and a…

高能物理 - 格点 · 物理学 2009-10-31 M. Engelhardt , H. Reinhardt

We argue that the approximate ``Casimir scaling'' of the string tensions of higher-representation Wilson loops is an effect due to the finite thickness of center vortex configurations. It is shown, in the context of a simple model of the…

高能物理 - 格点 · 物理学 2008-11-26 M. Faber , J. Greensite , S. Olejnik

A model for the infrared sector of SU(2) Yang-Mills theory, based on magnetic vortex degrees of freedom represented by (closed) random world-surfaces, is presented. The model quantitatively describes both the confinement properties…

高能物理 - 格点 · 物理学 2007-05-23 Michael Engelhardt

The center vortex model for the infrared sector of Yang-Mills theory, previously studied for the SU(2) gauge group, is extended to SU(3). This model is based on the assumption that vortex world-surfaces can be viewed as random surfaces in…

高能物理 - 格点 · 物理学 2009-11-10 M. Engelhardt , M. Quandt , H. Reinhardt

We analyze the static potentials induced by vacuum domains for various representations in SU($4$) Yang-Mills theory within the framework of the domain structure model. By studying the interactions within the vacuum domains, we can uncover…

高能物理 - 唯象学 · 物理学 2024-11-19 Seyed Mohsen Hosseini Nejad

Previously, we proposed an infrared vacuum wave functional for $SU(N)$ Yang-Mills theory peaked at thin center vortices and showed that it yields an area law for the Wilson loop. In this work, we use this wave functional to calculate the…

高能物理 - 理论 · 物理学 2026-04-08 D. R. Junior , L. E. Oxman , H. Reinhardt

We study gauge-invariant approximations to the Yang-Mills vacuum wave functional in which asymptotic freedom and a detailed description of the infrared dynamics are encoded through squeezed core states. After variationally optimizing these…

高能物理 - 理论 · 物理学 2012-01-04 Hilmar Forkel

The connection of Gribov's confinement scenario in Coulomb gauge with the center vortex picture of confinement is investigated. For this purpose we assume a vacuum wave functional which models the infrared properties of the theory and in…

高能物理 - 格点 · 物理学 2014-11-20 M. Quandt , H. Reinhardt , G. Burgio

In this paper, we study the role of the domain structure of the Yang Mills vacuum. The Casimir scaling and $N$-ality are investigated in the potentials between static sources in various representations for $SU(2)$ and $SU(3)$ gauge groups…

高能物理 - 唯象学 · 物理学 2015-03-05 Seyed Mohsen Hosseini Nejad , Sedigheh Deldar

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…

高能物理 - 格点 · 物理学 2008-11-26 L. Del Debbio , M. Faber , J. Giedt , J. Greensite , S. Olejnik

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…

高能物理 - 格点 · 物理学 2008-11-26 M. Engelhardt , B. Sperisen

A random vortex world-surface model for the infrared sector of SU(4) Yang-Mills theory is constructed, focusing on the confinement properties and the behavior at the deconfinement phase transition. Although the corresponding data from…

高能物理 - 格点 · 物理学 2009-11-11 Michael Engelhardt

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…

高能物理 - 格点 · 物理学 2009-10-31 K. Langfeld , O. Tennert , M. Engelhardt , H. Reinhardt

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…

高能物理 - 格点 · 物理学 2008-11-26 M. Engelhardt , K. Langfeld , H. Reinhardt , O. Tennert
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