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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 study a model of quark-gluon plasma of 2+1 flavors Quantum Chromodynamics in terms of quasiparticles propagating in a condensate of Polyakov loops. The Polyakov loop is coupled to quasiparticles by means of a gas-like effective…

High Energy Physics - Phenomenology · Physics 2015-06-17 Lucia Oliva , Paolo Castorina , Vincenzo Greco , Marco Ruggieri

We investigate the properties of thermal abelian magnetic monopoles in the high temperature phase of Yang--Mills theories, following a recent proposal for their identification on lattice configurations. The study is done for SU(2) pure…

High Energy Physics - Lattice · Physics 2008-11-26 Alessio D'Alessandro , Massimo D'Elia

We propose a beyond mean field approach to evaluate Yang-Mills thermodynamics from the partition function with n-body gluon contribution, in the presence of a uniform background Polyakov field. Using a path integral based formalism, we…

High Energy Physics - Phenomenology · Physics 2021-04-28 Pracheta Singha , Rajarshi Ray , Chowdhury Aminul Islam , Munshi G Mustafa

We summarize recent nonperturbative results obtained for the thermodynamics of an SU(2) and an SU(3) Yang-Mills theory being in its confining (center) phase. This phase is associated with a dynamical breaking of the local magnetic center…

High Energy Physics - Theory · Physics 2007-05-23 Ralf Hofmann

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

The exact nonperturbative confining solutions of the SU(3)-Yang-Mills equations recently obtained by author in Minkowski spacetime with the help of the black hole theory techniques are analysed and on the basis of them the gluon propagator…

High Energy Physics - Theory · Physics 2013-12-23 Yu. P. Goncharov

The dual superconductivity is a promising mechanism for quark confinement. We have presented a new formulation of the Yang-Mills theory on the lattice that enables us to change the original non-Abelian gauge field into the new field…

High Energy Physics - Lattice · Physics 2017-01-16 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

We provide a detailed analysis of the gravitational wave spectrum of $SU(N)$ pure Yang-Mills theory. The confinement phase transition is described with an effective Polyakov loop model, using the latest lattice data as an input. In…

High Energy Physics - Phenomenology · Physics 2025-12-17 Stephan Huber , Rory Phipps , Manuel Reichert

The mechanism of confinement in Yang-Mills theories remains a challenge to our understanding of nonperturbative gauge dynamics. While it is widely perceived that confinement may arise from chromo-magnetically charged gauge configurations…

High Energy Physics - Phenomenology · Physics 2018-03-28 Miguel Angel Lopez-Ruiz , Yin Jiang , Jinfeng Liao

We write down an effective theory of the Polyakov loop to investigate the deconfinement phase transition of imaginary-rotating gluonic matter using the strong-coupling expansion. We find the strength of the nearest-neighbor Polyakov-loop…

High Energy Physics - Phenomenology · Physics 2025-08-28 Kenji Fukushima , Yusuke Shimada

In order to derive equation of state for the pure SU(3) Yang-Mills fields from first principles, it is proposed to generalize the effective potential approach for composite operators to non-zero temperatures. It is essentially…

High Energy Physics - Phenomenology · Physics 2007-12-04 V. Gogokhia , V. SKokov

In the previous paper, we have shown the existence of magnetic monopoles in the pure $SU(2)$ Yang--Mills theory with a gauge-invariant mass term for the gluon field being introduced. In this paper, we extend our previous construction of…

High Energy Physics - Theory · Physics 2020-06-24 Shogo Nishino , Kei-Ichi Kondo

The plasma consisting of confining gluons resulting from the Gribov quantization of the SU(3) Yang-Mills theory is studied using non-equilibrium fluid dynamical framework. Exploiting the Bjorken symmetry and using linear response theory a…

High Energy Physics - Phenomenology · Physics 2016-11-23 Wojciech Florkowski , Radoslaw Ryblewski , Nan Su , Konrad Tywoniuk

We present here the results of our high accuracy simulations of $q\bar q$ potential in $d=4$ SU(3) Yang-Mills theory. We measure this quantity by measuring the {\it Polyakov Loop Correlators} using the {\it exponential variance reduction…

High Energy Physics - Lattice · Physics 2007-05-23 N. D. Hari Dass , Pushan Majumdar

A novel method to study the bulk thermodynamics in lattice gauge theory is proposed on the basis of the Yang-Mills gradient flow with a fictitious time t. The energy density (epsilon) and the pressure (P) of SU(3) gauge theory at fixed…

High Energy Physics - Lattice · Physics 2015-09-07 Masayuki Asakawa , Tetsuo Hatsuda , Etsuko Itou , Masakiyo Kitazawa , Hiroshi Suzuki

The phase diagram of large Nc, weakly-coupled N=4 supersymmetric Yang-Mills theory on a three-sphere with non-zero chemical potentials is examined. In the zero coupling limit, a transition line in the mu-T plane is found, separating a…

High Energy Physics - Theory · Physics 2009-11-11 Daisuke Yamada , Laurence G. Yaffe

We discuss a hydrodynamical description of the eigenvalues of the Polyakov line at large but finite $N_c$ for Yang-Mills theory in even and odd space-time dimensions. The hydro-static solutions for the eigenvalue densities are shown to…

High Energy Physics - Phenomenology · Physics 2016-01-20 Yizhuang Liu , Piotr Warchol , Ismail Zahed

The infrared behavior of Yang-Mills theory at finite temperature provides access to the role of confinement. In this review recent results on this topic from lattice calculations and especially Dyson-Schwinger studies are discussed. These…

High Energy Physics - Phenomenology · Physics 2009-11-11 Axel Maas

We compute the equation of state in the confining phase of SU(N) Yang-Mills theories with N=2, 3, 4, 5 and 6 colors in 2+1 dimensions, via lattice simulations. At low enough temperatures, the results are accurately described by a gas of…

High Energy Physics - Lattice · Physics 2011-07-05 Michele Caselle , Luca Castagnini , Alessandra Feo , Ferdinando Gliozzi , Marco Panero