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We construct the integration measure over the moduli space of an arbitrary number of N kinds of dyons of the pure SU(N) gauge theory at finite temperatures. The ensemble of dyons governed by the measure is mathematically described by a…

High Energy Physics - Theory · Physics 2008-11-26 Dmitri Diakonov , Victor Petrov

3d lattice studies have recently attracted a lot of attention, especially in connection with finite temperature field theories. One ingredient in these studies is a perturbative computation of the 2-loop lattice counterterms, which are…

High Energy Physics - Lattice · Physics 2009-10-30 M. Laine , A. Rajantie

We show that in four-dimensional gauge theories dual to five-dimensional Einstein gravity coupled to a single scalar field in the bulk the derivative of the single heavy quark free energy in the deconfined phase is $dF_{Q}(T)/dT \sim…

High Energy Physics - Theory · Physics 2010-04-06 Jorge Noronha

Properties of local Polyakov loops for SU(2) and SU(3) lattice gauge theory at finite temperature are analyzed. We show that spatial clusters can be identified where the local Polyakov loops have values close to the same center element. For…

High Energy Physics - Lattice · Physics 2015-03-17 Christof Gattringer , Alexander Schmidt

The Polyakov loop is an order parameter to the confinement-deconfinement phase transition in pure gluodynamics. Recently a simple phenomenological model has been proposed to describe the available lattice data for the renormalized Polyakov…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Megias , E. Ruiz Arriola , L. L. Salcedo

The deconfinement transition in SU(2) gauge theory and the magnetization transition in the Ising model belong to the same universality class. The critical behaviour of the Ising model can be characterized either as spontaneous breaking of…

High Energy Physics - Lattice · Physics 2014-11-17 Santo Fortunato , Helmut Satz

We estimate the temperature dependence of the gluon condensate from the Polyakov loop effective potential. It is presented how this analytic approach provides a simple picture for the electric gluon condensate around the deconfinement…

High Energy Physics - Phenomenology · Physics 2018-03-14 J. P. Carlomagno , J. C. Rojas

We report on a high statistics simulation of SU(2) pure gauge field theory at finite temperature, using Symanzik action. We determine the critical coupling for the deconfinement phase transition on lattices up to 8 x 24, using Finite Size…

High Energy Physics - Lattice · Physics 2009-10-22 Giancarlo cella , Giuseppe Curci , Raffaele Tripiccione , Andrea Vicere'

Sources in higher representations of SU(N) gauge theory at T=0 couple with apparently stable strings with tensions depending on the specific representation rather than on its N-ality. Similarly at the deconfining temperature these sources…

High Energy Physics - Theory · Physics 2009-11-11 Ferdinando Gliozzi

The 4-d SU(2) lattice gauge theory is simulated in the minimal Coulomb gauge which aims to maximize the traces of all links in three directions. Fourth-direction links are interpreted as spins in a Heisenberg-like model with varying…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Grady

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

We investigate the deconfinement transition of static quarks in SU(N) Yang-Mills theories using a perturbative approach based on a massive extension of the Landau-DeWitt gauge-fixed action, where the gluon mass term is related to the issue…

High Energy Physics - Theory · Physics 2015-05-18 Julien Serreau

In this dissertation, we investigate the approach of pure SU(2) lattice gauge theory to its continuum limit using the deconfinement temperature, six gradient scales, and six cooling scales. We find that cooling scales exhibit similarly good…

High Energy Physics - Lattice · Physics 2019-02-20 David Clarke

We present our current results for the deconfining temperatures in SO(N) gauge theories in 2+1 dimensions. SO(2N) theories may help us to understand QCD at finite chemical potential since there is a large-N orbifold equivalence between…

High Energy Physics - Lattice · Physics 2015-02-02 Richard Lau , Michael Teper

We argue that, at finite temperature, parity invariant non-compact electrodynamics with massive electrons in 2+1 dimensions can exist in both confined and deconfined phases. We show that an order parameter for the confinement-deconfinement…

High Energy Physics - Theory · Physics 2009-10-28 G. Grignani , G. Semenoff , P. Sodano

The equation of state of SU(3) Yang-Mills theory can be modelled by an effective $Z_3-$symmetric potential $V(\vert\phi\vert,\phi^3+\phi^{3*}, T)$ depending on the temperature $T$ and on a scalar field $\phi$ -- the averaged Polyakov loop.…

High Energy Physics - Phenomenology · Physics 2020-10-14 Y. Brihaye , F. Buisseret

This is a review of strong coupling approaches to grasp the nature of the phase transition in finite temperature and density QCD. We commence with classics of the center symmetry and the Polyakov loop in pure gauge theories. The effective…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kenji Fukushima

We study the confining and deconfining phases of pure $\mathrm{SU}(3)$ lattice gauge theory with topological data analysis. This provides unique insights into long range correlations of field configurations across the…

High Energy Physics - Lattice · Physics 2025-07-02 Daniel Spitz , Julian M. Urban , Jan M. Pawlowski

We study quenched SU(2) lattice gauge theory with adjoint fermions in a wide range of temperatures. We focus on spectral quantities of the Dirac operator and use the temporal fermionic boundary conditions as a tool to probe the system. We…

High Energy Physics - Lattice · Physics 2009-11-13 Erek Bilgici , Christof Gattringer , Ernst-Michael Ilgenfritz , Axel Maas

In order to investigate the features of the classical approximation at high temperatures for real time correlation functions, the plasmon frequencies and damping rates were recently computed numerically in the SU(2)+Higgs model and in the…

High Energy Physics - Phenomenology · Physics 2009-10-30 D. Bodeker , M. Laine