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Related papers: Center Vortex Model for SU(3) Yang-Mills Theory

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The importance of examining the structure of centre-vortex matter in the ground-state fields of nonabelian gauge-field theory has been demonstrated in the recent centre-vortex based discovery of a second finite-temperature transition in QCD…

High Energy Physics - Lattice · Physics 2025-03-31 Jackson A. Mickley , Waseem Kamleh , Derek B. Leinweber

We investigate the thermodynamics and phase structure of $SU(3)$ Yang-Mills theory on $\mathbb{T}^2\times\mathbb{R}^2$ with anisotropic spatial volumes in Euclidean spacetime in lattice numerical simulations and an effective model. In…

High Energy Physics - Lattice · Physics 2025-02-14 Masakiyo Kitazawa , Daisuke Fujii , Akihiro Iwanaka , Daiki Suenaga

Magnetic excitations play a crucial role in understanding the color confinement of $4$d Yang-Mills theory, and we have the monopole and the center vortex as plausible candidates to explain its mechanism. Under suitable compactified setups…

High Energy Physics - Theory · Physics 2024-10-25 Yui Hayashi , Yuya Tanizaki

The Yang-Mills theory with noncommutative fields is constructed following Hamiltonian and lagrangean methods. This modification of the standard Yang-Mills theory shed light on the confinement mechanism viewed as a Lorentz invariance…

High Energy Physics - Theory · Physics 2009-11-11 H. Falomir , J. Gamboa , J. Lopez-Sarrion , F. Mendez , A. J. da Silva

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…

High Energy Physics - Theory · Physics 2009-10-31 J. Froehlich , P. A. Marchetti

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…

High Energy Physics - Theory · Physics 2018-05-17 L. E. Oxman , H. Reinhardt

When studied at finite temperature, Yang-Mills theories in $3+1$ dimensions display the presence of confinement/deconfinement phase transitions, which are known to be of first order -- the $SU(2)$ gauge theory being the exception.…

High Energy Physics - Lattice · Physics 2023-09-25 Biagio Lucini , David Mason , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino

We study the confinement phase transition in $SU(2)$ Yang-Mills theory, based on a statistical ensemble model of correlated instanton-dyons. We show for the first time that such a model provides a quantitative description, in light of the…

High Energy Physics - Phenomenology · Physics 2019-06-24 Miguel Angel Lopez-Ruiz , Yin Jiang , Jinfeng Liao

We propose and analyze a new method of detecting center vortices and monopoles in lattice Yang-Mills theory. This procedure is sensitive to the intrinsic degeneracy of the center charges, which play a crucial role in how these topological…

High Energy Physics - Lattice · Physics 2026-05-04 Tereza Mendes , Luis E. Oxman , Gustavo M. Simões , Rafael C. S. Tonhon

We have proposed the non-Abelian dual superconductivity in SU(3) Yang-Mills theory for the mechanism of quark confinement,and we presented the numerical evidences in preceding lattice conferences by using the proposed gauge link…

High Energy Physics - Lattice · Physics 2015-01-27 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

Confinement remains one the most interesting and challenging nonperturbative phenomenon in non-Abelian gauge theories. Recent semiclassical (for SU(2)) and lattice (for QCD) studies have suggested that confinement arises from interactions…

High Energy Physics - Phenomenology · Physics 2021-09-15 Dallas DeMartini , Edward Shuryak

SU(2) Yang-Mills theory at finite extension or, equivalently, at finite temperature is probed by a homogeneous chromomagnetic field. We use a recent modified axial gauge formulation which has the novel feature of respecting the center…

High Energy Physics - Phenomenology · Physics 2009-10-30 V. L. Eletsky , A. C. Kalloniatis , F. Lenz , M. Thies

The vacuum of Yang-Mills theory contains singular stringlike objects identified with center (magnetic) vortices. Percolation of magnetic vortices is known to be responsible for the color confinement in the low-temperature phase of the…

High Energy Physics - Lattice · Physics 2009-09-11 M. N. Chernodub , Atsushi Nakamura , V. I. Zakharov

We analyze the static potentials for various representations in SU($3$) Yang-Mills theory within the framework of the domain model of center vortices. The influence of vortex interactions is investigated on the static potentials. We show…

High Energy Physics - Phenomenology · Physics 2019-12-11 Seyed Mohsen Hosseini Nejad

We analyze the confinement/deconfinement transition of pure Yang-Mills theories within the framework of the center-symmetric Landau gauge supplemented by a Curci-Ferrari mass term that models the effect of the associated Gribov copies in…

High Energy Physics - Phenomenology · Physics 2026-03-04 V. Tomas Mari Surkau , Urko Reinosa

In this work, we propose a $3D$ ensemble measure for center-vortex worldlines and chains equipped with non-Abelian degrees of freedom. We derive an effective field description for the center-element average where the vortices get…

High Energy Physics - Theory · Physics 2020-02-19 D. R. Junior , L. E. Oxman , G. M. Simões

Lattice gauge theories with gauge groups SO(3) and SU(2) are compared. The free energy of electric twist, an order parameter for the confinement-deconfinement transition which does not rely on centre-symmetry breaking, is measured in both…

High Energy Physics - Lattice · Physics 2009-11-07 Philippe de Forcrand , Oliver Jahn

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

In order to deepen our understanding of the nature of the deconfinement phase transition for various gauge groups, we investigate SU(4) Yang-Mills theory in 2+1 dimensions. We find that the transition is weakly first order. We perform…

High Energy Physics - Lattice · Physics 2008-11-26 Kieran Holland , Michele Pepe , Uwe-Jens Wiese

We study the behavior of center sectors in pure SU(4) lattice gauge theory at finite temperature. The center sectors are defined as spatial clusters of neighboring sites with values of their local Polyakov loops near the same center…

High Energy Physics - Lattice · Physics 2012-09-18 Michael Dirnberger , Christof Gattringer , Axel Maas