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The liquid droplet formula is applied to an analysis of the properties of geometrical (anti)clusters formed in SU(2) gluodynamics by the Polyakov loops of the same sign. Using this approach, we explain the phase transition in SU(2)…

Nuclear Theory · Physics 2017-01-03 A. I. Ivanytskyi , K. A. Bugaev , V. V. Sagun , D. R. Oliinychenko

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

We describe the SU(3) deconfinement transition using Landau-Ginsberg theory. Drawing on perturbation theory and symmetry principles, we construct the free energy as a function of temperature and the Polyakov loop. Once the two adjustable…

High Energy Physics - Lattice · Physics 2015-06-25 Michael C. Ogilvie , Peter N. Meisinger

We formulate a method for computing the effective Lagrangian of the Polyakov line on the lattice. Using mean field approximation we calculate the effective potential for high temperatures. The result agrees with recent lattice simulations.…

High Energy Physics - Lattice · Physics 2015-06-16 Dmitri Diakonov , Victor Petrov , Hans-Peter Schadler , Christof Gattringer

A study of the center symmetric phase of SU(2) Yang Mills theory is presented. Realization of the center symmetry is shown to result from non-perturbative gauge fixing. Dictated by the center symmetry, this phase exhibits already at the…

High Energy Physics - Theory · Physics 2009-10-31 F. Lenz , M. Thies

We describe how the general mechanism of partial deconfinement applies to large-$N$ QCD and the partially-deconfined phase inevitably appears between completely-confined and completely-deconfined phases. Furthermore, we propose how the…

High Energy Physics - Lattice · Physics 2023-12-29 Masanori Hanada , Hiroki Ohata , Hidehiko Shimada , Hiromasa Watanabe

While the Polyakov loop is an order parameter of the deconfinement transition in the heavy quark mass regime of QCD, its sensitivity to the deconfinement of light, dynamical quarks in QCD is not apparent. On the other hand, the quark mass…

High Energy Physics - Lattice · Physics 2021-02-08 David Anthony Clarke , Olaf Kaczmarek , Frithjof Karsch , Anirban Lahiri , Mugdha Sarkar

We compute the one-loop effective potential for the Polyakov loop on $S^3 times S^1$ for an asymptotically free gauge theory of arbitrary group $G$ and a generic matter content. We apply this result to study the phase structures of $G_2$,…

High Energy Physics - Theory · Physics 2008-11-26 Carlos Hoyos , Biagio Lucini , Asad Naqvi

We consider a three-dimensional effective theory of Polyakov lines derived previously from lattice Yang-Mills theory and QCD by means of a resummed strong coupling expansion. The effective theory is useful for investigations of the phase…

High Energy Physics - Lattice · Physics 2015-05-06 Georg Bergner , Jens Langelage , Owe Philipsen

The asymptotic behavior of the correlator for Polyakov loop operators separated by a large distance $R$ is determined for high temperature QCD. It is dominated by nonperturbative effects related to the exchange of magnetostatic gluons. To…

High Energy Physics - Phenomenology · Physics 2010-11-01 Eric Braaten , Agustin Nieto

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

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

SU(N) gauge theories, extended with adjoint fermions having periodic boundary conditions, are confining at high temperature for sufficiently light fermion mass m. Lattice simulations indicate that this confining region is smoothly connected…

High Energy Physics - Lattice · Physics 2010-01-21 Michael C. Ogilvie , Peter N. Meisinger

We study the perfect lattice actions of abelian-projected SU(2) gluodynamics. Using the BKT and duality transformations on the lattice, an effective string model is derived from the direction-dependent quadratic monopole action, obtained…

High Energy Physics - Lattice · Physics 2010-11-19 S. Fujimoto , S. Kato , M. Murata , T. Suzuki

We discuss the two point functions for the real and imaginary parts of the Polyakov loop in a pure SU(3) gauge theory. The behavior of these correlation functions in the Polyakov Loop Model is markedly different from that in perturbation…

High Energy Physics - Lattice · Physics 2007-05-23 Adrian Dumitru , Robert D. Pisarski

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 study the Polyakov loop and the $Z_2$ symmetry in the lattice $Z_2+$Higgs theory in 4D Euclidean space using Monte Carlo simulations. The results show that this symmetry is realised in the Higgs symmetric phase for large number of…

High Energy Physics - Lattice · Physics 2023-08-29 Minati Biswal , Sanatan Digal , Vinod Mamale , Sabiar Shaikh

From the long-distance behaviour of gluon and Polyakov loop correlation functions we extract masses resp. energies in the electric and magnetic sectors. We discuss their dependence on the temperature and on the momentum as well as the…

High Energy Physics - Lattice · Physics 2009-10-30 U. M. Heller , F. Karsch , J. Rank

We continue our study of a generalization of the D-dimensional linearized Vasiliev higher-spin equations to include a tower of partially massless (PM) fields. We compute one-loop effective actions by evaluating zeta functions for both the…

High Energy Physics - Theory · Physics 2017-04-20 Christopher Brust , Kurt Hinterbichler

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