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Lattice Yang-Mills theories at finite temperature can be mapped onto effective 3d spin systems, thus facilitating their numerical investigation. Using strong-coupling expansions we derive effective actions for Polyakov loops in the $SU(2)$…

High Energy Physics - Lattice · Physics 2011-03-31 Jens Langelage , Stefano Lottini , Owe Philipsen

The correlations between the modulus of the Polyakov loop, its phase $\theta$ and the Landau gauge gluon propagator at finite temperature are investigated in connection with the center symmetry for pure Yang-Mills SU(3) theory. In the…

High Energy Physics - Lattice · Physics 2016-06-22 P. J. Silva , O. Oliveira

The high-temperature phase of Yang-Mills theory in Landau gauge is studied using Dyson-Schwinger equations. The propagators of the gluon and the Faddeev-Popov ghosts are obtained at finite and infinite temperature, partially analytically.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Axel Maas

A three-dimensional effective theory of Polyakov loops has recently been derived from Wilson's Yang-Mills lattice action by means of a strong coupling expansion. It is valid in the confined phase up to the deconfinement phase transition,…

High Energy Physics - Lattice · Physics 2015-06-18 Georg Bergner , Jens Langelage , Owe Philipsen

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

We present a semiclassical description of the SU(N) Yang--Mills theory whose partition function at nonzero temperatures is approximated by that of an ensemble of N kinds of interacting dyons. The ensemble is mathematically described by an…

High Energy Physics - Theory · Physics 2010-03-19 Dmitri Diakonov

Effective Polyakov loop theories are a useful tool for an investigation of pure Yang-Mills theory and full QCD. A systematic derivation of the effective action can be done in a spatial strong coupling expansion. Quite accurate predictions…

High Energy Physics - Lattice · Physics 2013-11-27 Georg Bergner , Jens Langelage , Owe Philipsen

The Polyakov loop variable serves as an order parameter to characterize the confined and deconfined phases of Yang-Mills theory. By integrating out the vector fields in the SU(2) Yang-Mills partition function in one-loop approximation, an…

High Energy Physics - Theory · Physics 2009-10-30 Michael Engelhardt , Hugo Reinhardt

We integrate out fast varying quantum fluctuations around static A_4 and A_i fields for the SU(N) gauge group. By assuming that the gluon fields are slowly varying but allowing for an arbitrary amplitude of A_4 we obtain two variants of the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Dmitri Diakonov , Michaela Oswald

We present lattice simulations of a center symmetric dimensionally reduced effective field theory for SU(2) Yang Mills which employ thermal Wilson lines and three-dimensional magnetic fields as fundamental degrees of freedom. The action is…

High Energy Physics - Lattice · Physics 2012-07-05 Dominik Smith

The finite-temperature behavior of gluon and of Faddeev-Popov-ghost propagators is investigated for pure SU(2) Yang-Mills theory in Landau gauge. We present nonperturbative results, obtained using lattice simulations and Dyson-Schwinger…

High Energy Physics - Lattice · Physics 2008-11-26 Attilio Cucchieri , Axel Maas , Tereza Mendes

We put forward a Polyakov-loop extended quark meson model, where matter as well as glue fluctuations are taken into account, cf. [1]. The latter are included via a Polyakov-loop potential. Usually such a glue potential is based on…

High Energy Physics - Phenomenology · Physics 2014-01-09 Tina K. Herbst , Mario Mitter , Jan M. Pawlowski , Bernd-Jochen Schaefer , Rainer Stiele

We present a quasiparticle model for the pure gauge sector of QCD, in which transverse quasigluons propagate in a Polyakov loop background field. By incorporating thermodynamic self-consistency in the approach, we show that our Polyakov…

High Energy Physics - Phenomenology · Physics 2015-06-18 Paolo Alba , Wanda Alberico , Marcus Bluhm , Vincenzo Greco , Claudia Ratti , Marco Ruggieri

A semi-classical model is developed to describe pure SU(2) Yang-Mills gluodynamics at finite temperature as a dilute, non-interacting gas of Kraan-van Baal-Lee-Lu calorons including the case of non-trivial holonomy. Temperature dependent…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Gerhold , E. -M. Ilgenfritz , M. Müller-Preussker

We discuss the dependence of pure Yang-Mills equation of state on the choice of gauge algebra. In the confined phase, we generalize to an arbitrary simple gauge algebra Meyer's proposal of modelling the Yang-Mills matter by an ideal…

High Energy Physics - Phenomenology · Physics 2011-11-01 Fabien Buisseret , Gwendolyn Lacroix

The effective potential of the order parameter for confinement is calculated within the Hamiltonian approach to Yang--Mills theory. Compactifying one spatial dimension and using a background gauge fixing this potential is obtained by…

High Energy Physics - Theory · Physics 2013-01-14 Hugo Reinhardt , Jan Heffner

We make progress towards a derivation of a low energy effective theory for SU(2) Yang-Mills theory. This low energy action is computed to 1-loop using the renormalization group technique, taking proper care of the Slavnov-Taylor identities…

High Energy Physics - Theory · Physics 2019-02-20 A. N. Efremov

We investigate the thermodynamics and phase structure of $SU(3)$ Yang-Mills theory on $\mathbb{T}^2\times\mathbb{R}^2$ in Euclidean spacetime in an effective-model approach. The model incorporates two Polyakov loops along two compactified…

High Energy Physics - Phenomenology · Physics 2024-11-13 Daisuke Fujii , Akihiro Iwanaka , Masakiyo Kitazawa , Daiki Suenaga

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 consider a variational approach to the finite temperature Yang-Mills theory in the Coulomb gauge. The partition function is computed in the ensemble of glueballs and quasi-gluons which emerge as eigenstates of the Coulomb gauge…

High Energy Physics - Theory · Physics 2013-05-30 Tochtli Yepez Martinez , Adam P. Szczepaniak , Hugo Reinhardt