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Related papers: Confinement in Polyakov Gauge

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We apply the liquid droplet model to describe the clustering phenomenon in SU(2) gluodynamics, especially, in the vicinity of the deconfinement phase transition. In particular, we analyze the size distributions of clusters formed by the…

We report on the first steps of an ongoing project to add gauge observables and gauge corrections to the well-studied strong coupling limit of staggered lattice QCD, which has been shown earlier to be amenable to numerical simulations by…

High Energy Physics - Lattice · Physics 2015-03-19 Philippe de Forcrand , Michael Fromm , Jens Langelage , Kotaroh Miura , Owe Philipsen , Wolfgang Unger

We compute the effective action of the Polyakov loop in SU(2) and SU(3) Yang-Mills theory using a previously developed covariant variational approach. The formalism is extended to background gauge and it is shown how to relate the low order…

High Energy Physics - Theory · Physics 2016-09-21 Markus Quandt , Hugo Reinhardt

The paramagnetic-ferromagnetic transition in the Ising model can be described as percolation of suitably defined clusters. We have tried to extend such picture to the confinement-deconfinement transition of SU(2) pure gauge theory, which is…

High Energy Physics - Lattice · Physics 2009-10-31 S. Fortunato , F. Karsch , P. Petreczky , H. Satz

The finite temperature transition or crossover in QCD with two degenerate Wilson quarks is investigated using a renormalization group improved action. At $\beta=2.0$ and 2.1 where $a^{-1} \sim 1.0-1.2$ GeV, the expectation value of the…

High Energy Physics - Lattice · Physics 2009-10-28 Y. Iwasaki , K. Kanaya , S. Sakai , T. Yoshie

We investigate the singlet, triplet and colour average heavy quark free energies in SU(2) pure gauge theory at various temperatures T. We focus on the long distance behaviour of the free energies, studying in particular the temperature…

High Energy Physics - Lattice · Physics 2007-05-23 S. Digal , S. Fortunato , P. Petreczky

We examine the finite-temperature deconfinement phase transition of (2+1)-dimensional SU(5) Yang-Mills theory via non-perturbative lattice simulations. Unsurprisingly, we find that the transition is of first order, however it appears to be…

High Energy Physics - Lattice · Physics 2009-11-11 Kieran Holland

At finite temperature, chiral quark models do not incorporate large gauge invariance which implies genuinely non-perturbative finite temperature gluonic degrees of freedom. Motivated by this observation, we describe how the coupling of the…

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

We demonstrate that chiral symmetry restoration in quenched finite temperature QCD depends crucially on the $Z_3$ phase of the Polyakov loop ${\cal P}$. This dependence is a general consequence of the coupling of the chiral order parameter…

High Energy Physics - Lattice · Physics 2011-05-05 Peter N. Meisinger , Michael C. Ogilvie

Based upon what is known about the phase transition(s) of an SU(3) gauge theory, we argue that in a SU(N_c) gauge theory without quarks, at nonzero temperature the deconfining phase transition is of second order when N_c \geq 4.

High Energy Physics - Phenomenology · Physics 2008-02-03 Robert D. Pisarski , Michel Tytgat

We perform a tensor renormalization group simulation of non-Abelian gauge theory in three dimensions using a formulation based on the `armillary sphere.' In this formulation, matrix indices are completely traced out, eliminating the…

High Energy Physics - Lattice · Physics 2025-02-07 Atis Yosprakob , Kouichi Okunishi

I report on recent results obtained within the Hamiltonian approach to QCD in Coulomb gauge. By relating the Gribov confinement scenario to the center vortex picture of confinement it is shown that the Coulomb string tension is tied to the…

High Energy Physics - Theory · Physics 2017-04-05 H. Reinhardt , G. Burgio , D. Campagnari , E. Ebadati , J. Heffner , M. Quandt , P. Vastag , H. Vogt

We studied a crucial but often oversimplified ingredient in predicting gravitational-wave signals from QCD-type phase transitions: the kinetic term of the Polyakov loop. For the first time, we derive this term from first principles in…

High Energy Physics - Phenomenology · Physics 2026-03-31 Banghui Hua , Jiang Zhu

We study the behavior of the order parameter, the phase diagram, and the thermodynamics of exotic phases of finite temperature gauge theory. Lattice simulations were performed in SU(3) and SU(4) with an adjoint Polyakov loop term added to…

High Energy Physics - Lattice · Physics 2008-11-26 Joyce C. Myers , Michael C. Ogilvie

We present a semiclassical approach to the SU(N) Yang--Mills theory whose partition function at nonzero temperatures is approximated by a saddle point -- an ensemble of an infinite number of interacting dyons of N kinds. The ensemble is…

High Energy Physics - Theory · Physics 2015-05-13 Dmitri Diakonov , Victor Petrov

The deconfining transition in $SU(3)$ gauge theory, traditionally interpreted through the Gross-Witten-Wadia (GWW) model as a sharp third-order phase transition in the large-$N_c$ limit, appears as a smooth crossover in lattice QCD. This…

High Energy Physics - Lattice · Physics 2026-01-21 Airton Deppman

We study the phase structure of QCD at finite temperature within a Polyakov-loop enhanced quark-meson model. Such a model describes the chiral as well as the confinement-deconfinement dynamics. In the present investigation, based on the…

High Energy Physics - Phenomenology · Physics 2014-04-04 Tina Katharina Herbst , Mario Mitter , Jan M. Pawlowski , Bernd-Jochen Schaefer , Rainer Stiele

We study the temperature dependence of the renormalized Polyakov loop in 2+1 flavor QCD for temperatures T<210 MeV. We extend previous calculations by the HotQCD collaboration using the highly improved staggered quark action and perform a…

High Energy Physics - Lattice · Physics 2013-05-22 A. Bazavov , P. Petreczky

We studied the finite temperature phase transition of SU(2) gauge theory on four-dimensional Euclidean lattices by Monte Carlo simulations, and measured the flux distributions of a $q\bar q$ pair in both confined and unconfined phases. We…

High Energy Physics - Lattice · Physics 2009-09-25 Yingcai Peng , Richard W. Haymaker

We consider finite temperature SU(2) gauge theory in the continuum formulation, which necessitates the choice of a gauge fixing. Choosing the Landau gauge, the existing gauge copies are taken into account by means of the Gribov-Zwanziger…

High Energy Physics - Theory · Physics 2015-06-30 F. E. Canfora , D. Dudal , I. F. Justo , P. Pais , L. Rosa , D. Vercauteren