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We analyze the finite temperature deconfining phase transition in 2+1 dimensional Georgi-Glashow model. We show explicitly that the transition is due to the restoration of the magnetic $Z_2$ symmetry and that it is in the Ising universality…

High Energy Physics - Theory · Physics 2010-02-03 Gerald Dunne , Ian I. Kogan , Alex Kovner , Bayram Tekin

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

We derive an analytic expression for point to point correlation functions of the Polyakov loop based on the transfer matrix formalism. The contributions from the eigenvalues of the transfer matrix including and beyond the mass gap are…

High Energy Physics - Lattice · Physics 2009-10-22 J. Engels , V. K. Mitrjushkin , T. Neuhaus

Our aim is to give a self-contained review of recent advances in the analytic description of the deconfinement transition and determination of the deconfinement temperature in lattice QCD at large N. We also include some new results, as for…

High Energy Physics - Theory · Physics 2015-06-26 M. Billo' , M. Caselle , A. D'Adda , S. Panzeri

At very high temperatures Yang--Mills theories can be described through perturbation theory. At the tree level the time components of the gluon fields decouple and yield a dimensionally reduced theory. The expectation value of the Polyakov…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michaela Oswald

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 derive effective actions for SU(2) Polyakov loops using inverse Monte Carlo techniques. In a first approach, we determine the effective couplings by requiring that the effective ensemble reproduces the single-site distribution of the…

High Energy Physics - Lattice · Physics 2009-11-10 Leander Dittmann , Thomas Heinzl , Andreas Wipf

The gauge group being centreless, $G_2$ gauge theory is a good laboratory for studying the role of the centre of the group for colour confinement in Yang-Mills gauge theories. In this paper, we investigate $G_2$ pure gauge theory at finite…

High Energy Physics - Lattice · Physics 2008-11-26 Guido Cossu , Massimo D'Elia , Adriano Di Giacomo , Biagio Lucini , Claudio Pica

We study effective Polyakov loop models for SU(N) Yang-Mills theories at finite temperature. In particular effective models for SU(3) YM with an additional adjoint Polyakov loop potential are considered. The rich phase structure including a…

High Energy Physics - Lattice · Physics 2010-01-21 Christian Wozar , Tobias Kaestner , Bjoern H. Wellegehausen , Andreas Wipf , Thomas Heinzl

A synthesis of Polyakov loop models of the deconfinement transition and quasiparticle models of gluon plasma thermodynamics leads to a class of models in which gluon quasiparticles move in a non-trivial Polyakov loop background. These…

High Energy Physics - Phenomenology · Physics 2009-11-10 Peter N. Meisinger , Michael C. Ogilvie , Travis R. Miller

The dynamic relaxation process for the (2+1)--dimensional SU(2) lattice gauge theory at critical temperature is investigated with Monte Carlo methods. The critical initial increase of the Polyakov loop is observed. The dynamic exponents…

Soft Condensed Matter · Physics 2009-10-30 K. Okano , L. Schuelke , B. Zheng

We describe how the inclusion of the gluonic Polyakov loop incorporates large gauge invariance and drastically modifies finite temperature calculations in chiral quark models after color neutral states are singled out. This generates an…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. Megias , E. Ruiz Arriola , L. L. Salcedo

We study genuine finite density effects in QCD-like theories with three-dimensional Polyakov-loop effective theories for heavy quarks. These are derived from the full QCD-like theories by combined strong-coupling and hopping expansions. In…

High Energy Physics - Lattice · Physics 2016-02-16 Philipp Scior , Lorenz von Smekal

In a 2+1-dimensional pure LGT at finite temperature the critical coupling for the deconfinement transition scales as $\beta_c(n_t) = J_c n_t + a_1$, where $n_t$ is the number of links in the ``time-like'' direction of the symmetric lattice.…

High Energy Physics - Theory · Physics 2009-10-30 M. Billo' , M. Caselle , A. D'Adda

We consider a lattice gauge theory at finite temperature in ($d$+1) dimensions with the Wilson action and different couplings $\beta_t$ and $\beta_s$ for timelike and spacelike plaquettes. By using the character expansion and…

High Energy Physics - Lattice · Physics 2009-10-28 M. Billo' , M. Caselle , A. D'Adda , S. Panzeri

We investigate quark deconfinement by calculating the effective potential of the Polyakov loop using the non-perturbative propagators in the Landau gauge measured in the finite-temperature lattice simulation. With the leading term in the…

High Energy Physics - Phenomenology · Physics 2015-06-05 Kenji Fukushima , Kouji Kashiwa

We study SU(2) Yang-Mills theory at finite temperature in the framework of the functional renormalization group. We concentrate on the effective potential for the Polyakov loop which serves as an order parameter for confinement. In this…

High Energy Physics - Phenomenology · Physics 2009-11-11 J. Braun , H. Gies , H. J. Pirner

We simulate SU(2) gauge theory at temperatures ranging from slightly below $T_c$ to roughly $2T_c$ for two different values of the gauge coupling. Using a histogram method, we extract the effective potential for the Polyakov loop and for…

High Energy Physics - Lattice · Physics 2013-11-06 Dominik Smith , Adrian Dumitru , Robert Pisarski , Lorenz von Smekal

The analytic strong coupling expansion of the gluodynamics under a rotation with an angular velocity $\omega$ is reported. While the expansion is systematic, free from additional assumptions, the deconfinement temperature determined by the…

High Energy Physics - Phenomenology · Physics 2025-05-22 Sheng Wang , Jun-Xia Chen , Defu Hou , Hai-Cang Ren

The thermodynamics of 3d adjoint Higgs model is considered. We study the properties of the Polyakov loop correlators and the critical behavior at the deconfinement phase transition. Our main tool is a reduction to the 2d sine-Gordon model.…

High Energy Physics - Theory · Physics 2009-10-30 N. O. Agasian , K. Zarembo