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It is shown that an effective theory with meron degrees of freedom produces confinement in SU(2) Yang Mills theory. This effective theory is compatible with center symmetry. When the scale is set by the string tension, the action density…

High Energy Physics - Theory · Physics 2008-11-26 F. Lenz , J. W. Negele , M. Thies

First, we give a gauge-independent definition of chromomagnetic monopoles in $SU(N)$ Yang-Mills theory which is derived through a non-Abelian Stokes theorem for the Wilson loop operator. Then we discuss how such magnetic monopoles can give…

High Energy Physics - Theory · Physics 2015-08-11 Kei-Ichi Kondo , Takaaki Sasago , Toru Shinohara , Akihiro Shibata , Seikou Kato

In this work, we analyzed a recent proposal to detect $SU(N)$ continuum Yang-Mills sectors labeled by center vortices, inspired by Laplacian-type center gauges in the lattice. Initially, after the introduction of appropriate external…

High Energy Physics - Theory · Physics 2020-04-22 D. Fiorentini , D. R. Junior , L. E. Oxman , R. F. Sobreiro

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

We investigate several examples of Yang-Mills gauge configurations containing center vortex structures, including intersection points between vortices and nontrivial color structures residing on the vortex world-surfaces. Various…

High Energy Physics - Lattice · Physics 2018-04-04 Seyed Mohsen Hosseini Nejad

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

Characterizing the vacuum of a thermalized SU(3) Yang-Mills theory in the dual Ginzburg-Landau description, the possibility of topologically nontrivial, classical monopole fields in the deconfining phase is explored. These fields are…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ralf Hofmann

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 theory results show the confinement for the quark potential in different Yang-Mills theories and even the G(2) gauge theory. LGT calculations show that quark potential should have the down concavity behavior. Confinement…

High Energy Physics - Lattice · Physics 2020-11-30 Hadi Lookzadeh , M. Hosseini

The dynamical N=1, SU(2) Super Yang-Mills theory is studied on the lattice using a new lattice fermion regulator, domain wall fermions. This formulation even at non-zero lattice spacing does not require fine-tuning, has improved chiral…

High Energy Physics - Lattice · Physics 2008-11-26 G. Fleming , J. Kogut , P. Vranas

We show that the degrees of freedom associated with magnetic monopole- and vortexlike gluonic configurations make a strong contribution to the anomaly of the energy-momentum tensor of Yang-Mills theory in the deconfinement phase immediately…

High Energy Physics - Lattice · Physics 2009-04-14 M. N. Chernodub , Katsuya Ishiguro , Atsushi Nakamura , Toru Sekido , Tsuneo Suzuki , 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 use effective magnetic SU(N) pure gauge theory with cutoff M and fixed gauge coupling g_m to calculate non-perturbative magnetic properties of the deconfined phase of SU(N) Yang-Mills theory. We obtain the response to an external closed…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Baker

We construct an anomaly-preserving compactification of 4d gauge theories, including $SU(N)$ Yang-Mills theory, $\mathcal{N}=1$ supersymmetric Yang-Mills theory, and QCD, down to 2d by turning on 't Hooft flux through $T^2$. It provides a…

High Energy Physics - Theory · Physics 2022-04-27 Yuya Tanizaki , Mithat Ünsal

The structures of confining vortices which underlie pure SU(3) Yang-Mills theory are studied by means of lattice gauge theory. Vortices and Z_3 monopoles are defined as dynamical degrees of freedom of the Z_3 gauge theory which emerges by…

High Energy Physics - Lattice · Physics 2008-11-26 Kurt Langfeld

There are two distinct regimes of Yang-Mills theory where we can demonstrate confinement, the existence of a mass gap, and fractional theta angle dependence using a reliable semi-classical calculation. The two regimes are Yang-Mills theory…

High Energy Physics - Theory · Physics 2024-10-24 Canberk Güvendik , Thomas Schaefer , Mithat Ünsal

Recently $SU(2)$ Yang-Mills theory with one massless adjoint Dirac quark flavor emerges as a novel critical theory that can describe the evolution between a trivial insulator and a topological insulator in AIII class in $3+1$ dimensions.…

High Energy Physics - Lattice · Physics 2019-12-30 Zhen Bi , Anthony Grebe , Gurtej Kanwar , Patrick Ledwith , David Murphy , Michael L. Wagman

We illustrate some physical application of a lattice formulation of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric SU(2) Yang-Mills theory with a (small) supersymmetry breaking scalar mass. Two aspects, power-like behavior of…

High Energy Physics - Lattice · Physics 2009-02-18 Issaku Kanamori , Hiroshi Suzuki

We present an overview on nonperturbative thermodynamics in the deconfining phase of an SU(2) Yang-Mills theory. In a unique effective theory the maximal resolution of trivial-topology fluctuations is constrained by coarse-grained,…

High Energy Physics - Theory · Physics 2017-08-23 Ralf Hofmann

We investigate the 2D behavior of one-fold selfintersecting, topologically stabilized center-vortex loops in the confining phase of an SU(2) Yang-Mills theory. This coarse-graining is described by curve-shrinking evolution of center-vortex…

High Energy Physics - Theory · Physics 2012-07-10 Julain Moosmann , Ralf Hofmann