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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

Motivated by the correlated monopoles and vortices observed in lattice QCD, using Cho decomposition method and two successive gauge transformations which lead to the observation of configurations that include both monopoles and center…

高能物理 - 理论 · 物理学 2022-02-08 Nafiseh Karimimanesh , Sedigheh Deldar

Starting from SU(2) Yang-Mills theory in 3+1 dimensions, we prove that the abelian-projected effective gauge theories are written in terms of the maximal abelian gauge field and the dual abelian gauge field interacting with monopole…

高能物理 - 理论 · 物理学 2009-10-30 Kei-ichi Kondo

The center vortex model for the infrared sector of SU(3) Yang-Mills theory is reviewed. After discussing the physical foundations underlying the model, some technical aspects of its realisation are discussed. The confining properties of the…

高能物理 - 格点 · 物理学 2011-07-19 Markus Quandt , Hugo Reinhardt , Michael Engelhardt

We study the correlations between center vortices and Abelian monopoles for SU($3$) gauge group. Combining fractional fluxes of monopoles, center vortex fluxes are constructed in the thick center vortex model. Calculating the potentials…

高能物理 - 唯象学 · 物理学 2017-09-13 Seyed Mohsen Hosseini Nejad , Sedigheh Deldar

We analyze previously proposed order parameters for the confinement - deconfinement transition in lattice SU(2) Yang-Mills theory, defined as vacuum expectation value (v.e.v.) of monopole fields in abelian projection gauges. We show that…

高能物理 - 理论 · 物理学 2009-10-31 J. Froehlich , P. A. Marchetti

We study the relation between instantons and monopoles in the abelian gauge. First, we investigate the monopole in the multi-instanton solution in the continuum Yang-Mills theory using the Polyakov gauge. At a large instanton density, the…

高能物理 - 格点 · 物理学 2009-10-28 H. Suganuma , S. Sasaki , H. Ichie , F. Araki , O. Miyamura

It has long argued that confinement in non-Abelian gauge theories, such as QCD, can be account for by analogy with typed II superconductivity. In this paper, we show that it is possible to arrive at an effective dual Abelian-Higgs model,…

高能物理 - 理论 · 物理学 2007-05-23 Duoje Jia

Applying Cho-Faddeev-Niemi decomposition for SU(2) Yang-Mills field, we obtain the Abelian-Higgs Lagrangian by some approximation. Abelian-Higgs Lagrangian with a spontaneous symmetry breaking potential has vortex solutions known as…

高能物理 - 理论 · 物理学 2014-03-31 Ahmad Mohamadnejad , Sedigheh Deldar

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

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

There is a natural way to study the long distance interactions of gauge theories in the electric (momentum) representation. Here, the main ideas are presented for the Abelian and Yang-Mills gauge theories emphasizing on the structure and…

高能物理 - 理论 · 物理学 2007-05-23 Jiannis Pachos

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…

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

We search for an abelian description of the Yang-Mills instantons on certain eight dimensional manifolds with the special holonomies $Spin(7)$ and SU(4). By mimicing the Seiberg-Witten theory in four dimensions, we propose a set of…

高能物理 - 理论 · 物理学 2009-10-31 Yi-hong Gao , Gang Tian

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…

高能物理 - 格点 · 物理学 2025-07-22 Jackson A. Mickley , Derek B. Leinweber , Luis E. Oxman

Non-abelian gauge theories play an important role in the standard model of particle physics, and unfold a partially unexplored world of exciting physical phenomena. In this letter, we suggest a realization of a non-abelian lattice gauge…

量子物理 · 物理学 2013-03-25 Erez Zohar , J. Ignacio Cirac , Benni Reznik

A relation between the total instanton number and the quantum-numbers of magnetic monopoles that arise in general Abelian gauges in SU(2) Yang-Mills theory is established. The instanton number is expressed as the sum of the `twists' of all…

高能物理 - 理论 · 物理学 2008-11-26 Oliver Jahn

A random vortex world-surface model for the infrared sector of Sp(2) Yang-Mills theory is constructed. The Sp(2) gauge group, while allowing for the same set of center vortex fluxes as the SU(2) gauge group, induces a significantly…

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

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…

高能物理 - 理论 · 物理学 2007-05-23 H. Reinhardt

In the past several decades there have been a number of proposals for computing with dual forms of non-abelian Yang-Mills theories on the lattice. Motivated by the gauge-invariant, geometric picture offered by dual models and successful…

高能物理 - 格点 · 物理学 2008-11-26 J. Wade Cherrington , J. Daniel Christensen , Igor Khavkine