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We consider the determination of the finite temperature phase transition in the Yang--Mills SU(3) gauge theory. We compute the difference of the spatial and temporal energy density at a physical Wilson flow time. This difference is zero in…

High Energy Physics - Lattice · Physics 2016-11-23 Michèle Wandelt , Francesco Knechtli , Michael Günther

We investigate the topological properties of the $SU(3)$ pure gauge theory by performing numerical simulations at imaginary values of the $\theta$ parameter. By monitoring the dependence of various cumulants of the topological charge…

High Energy Physics - Lattice · Physics 2016-01-28 Claudio Bonati , Massimo D'Elia , Aurora Scapellato

It has been speculated that the CP symmetry of 4D SU(3) Yang-Mills theory at $\theta=\pi$ is spontaneously broken in the confined phase, and it is recovered precisely at the deconfining temperature. The direct simulation of the theory at…

High Energy Physics - Lattice · Physics 2026-03-11 Akira Matsumoto , Mitsuaki Hirasawa , Jun Nishimura , Atis Yosprakob

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

We investigate the thermodynamic behavior and phase diagram of $SU(3)$ Yang-Mills theory on $\mathbb{T}^2 \times \mathbb{R}^2$ in Euclidean spacetime using an effective model. In our approach, the Polyakov loops along the compactified…

High Energy Physics - Phenomenology · Physics 2025-03-26 Daisuke Fujii , Akihiro Iwanaka , Masakiyo Kitazawa , Daiki Suenaga

In lattice calculations, the approach to the continuum limit is hindered by the severe freezing of the topological charge, which prevents ergodic sampling in configuration space. In order to significantly reduce the autocorrelation time of…

High Energy Physics - Lattice · Physics 2021-05-19 Guido Cossu , David Lancaster , Biagio Lucini , Roberto Pellegrini , Antonio Rago

These lectures contain an introduction to instantons, calorons and dyons of the Yang--Mills gauge theory. Since we are interested in the mechanism of confinement and of the deconfinement phase transition at some critical temperature, the…

High Energy Physics - Phenomenology · Physics 2009-12-04 Dmitri Diakonov

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…

High Energy Physics - Lattice · Physics 2008-11-26 M. Engelhardt , K. Langfeld , H. Reinhardt , O. Tennert

We investigate the connection between Color Confinement and thermal Abelian monopoles populating the deconfined phase of SU(2) Yang-Mills theory, by studying how the statistical properties of the monopole ensemble change as the…

High Energy Physics - Lattice · Physics 2010-05-25 Alessio D'Alessandro , Massimo D'Elia , Edward Shuryak

The high temperature expansion is an analytical tool to study critical phenomena in statistical mechanics. We apply this method to 3d effective theories of Polyakov loops, which have been derived from 4d lattice Yang-Mills by means of…

High Energy Physics - Lattice · Physics 2019-12-05 Jangho Kim , Anh Quang Pham , Owe Philipsen , Jonas Scheunert

The question of the role of the center of the gauge group in the phenomenon of confinement in Yang-Mills theory is addressed. The investigation is performed from the most general perspective of considering all possible choices for the gauge…

High Energy Physics - Lattice · Physics 2015-06-25 Michele Pepe

We study the phase structure of N=1 supersymmetric Yang-Mills theory on R^3XS^1, with massive gauginos, periodic around the S^1, with Sp(2N) (N>=2), Spin(N) (N>=5), G_2, F_4, E_6, E_7, E_8 gauge groups. As the gaugino mass m is increased,…

High Energy Physics - Theory · Physics 2015-06-19 Mohamed M. Anber , Erich Poppitz , Brett Teeple

The phase diagram on the $\theta$-$T$ plane in four dimensional SU(3) Yang-Mills theory is explored. We revisit the $\theta$ dependence of the deconfinement transition temperature, $T_c(\theta)$, on the lattice through the constraint…

High Energy Physics - Lattice · Physics 2022-06-29 Noriaki Otake , Norikazu Yamada

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

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

In an attempt to describe the change of topological structure of pure SU(2) gauge theory near deconfinement a renormalization group inspired method is tested. Instead of cooling, blocking and subsequent inverse blocking is applied to Monte…

High Energy Physics - Lattice · Physics 2009-10-30 M. Feurstein , E. -M. Ilgenfritz , H. Markum , M. Müller-Preussker , S. Thurner

The properties of the deconfined phase of ${\cal N}=1$ supersymmetric Yang-Mills theory in $(3+1)$-dimensions are studied within a $\cal T$-matrix formulation of statistical mechanics in which the medium under study is seen as a gas of…

High Energy Physics - Theory · Physics 2014-08-22 Gwendolyn Lacroix , Claude Semay , Fabien Buisseret

We compute the two-point correlation of the energy density for the massless mode in deconfining SU(2) Yang-Mills thermodynamics and point towards a possible application for the physics of cold, dilute, and stable clouds of atomic hydrogen…

High Energy Physics - Theory · Physics 2009-02-11 Jochen Keller , Ralf Hofmann , Francesco Giacosa

This study explores confinement-deconfinement transition properties of SU($3$) Yang--Mills theory under weak accelerations at finite temperatures, using first-principles lattice simulations. The system is formulated in the Rindler…

High Energy Physics - Lattice · Physics 2026-04-30 Victor V. Braguta , Vladimir A. Goy , Jayanta Dey , Artem A. Roenko

In axial gauge, the (2+1)-dimensional SU($N$) Yang-Mills theory is equivalent to a set of (1+1)-dimensional integrable models with a non-local coupling between charge densities. This fact makes it possible to determine the static potential…

High Energy Physics - Theory · Physics 2008-11-26 Peter Orland
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