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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

I compute the deconfinement order parameter for the SU(2) lattice gauge theory, the Polyakov loop, using the fixed scale approach for two different scales and show how one can obtain a physical, renormalized, order parameter. The…

High Energy Physics - Lattice · Physics 2010-08-04 Rajiv V. Gavai

We examine the possibility of a confinement-deconfinement phase transition at finite temperature in both parity invariant and topologically massive three-dimensional quantum electrodynamics. We review an argument showing that the Abelian…

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

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

We sketch an effective theory for the deconfined state of QCD near Tc. This relates the behavior of the expectation value of the Polyakov loop, and its two-point functions, to the pressure. Defining the ``mass'' of three and two gluon…

Nuclear Theory · Physics 2009-11-07 A. Dumitru , R. D. Pisarski

We study the impact of a finite magnetic field on the deconfinement phase transition for heavy quarks by computing the fluctuations of the Polyakov loops. It is demonstrated that the explicit Z(3) breaking field increases with the magnetic…

High Energy Physics - Phenomenology · Physics 2020-08-27 Pok Man Lo , Michal Szymanski , Chihiro Sasaki , Krzysztof Redlich

We study the nature of the confinement phase transition in d=3+1 dimensions in various non-abelian gauge theories with the approach put forward in [1]. We compute an order-parameter potential associated with the Polyakov loop from the…

High Energy Physics - Phenomenology · Physics 2010-12-15 Jens Braun , Astrid Eichhorn , Holger Gies , Jan M. Pawlowski

We construct a new order parameter for finite temperature QCD by considering the quark condensate for U(1)-valued temporal boundary conditions for the fermions. Fourier transformation with respect to the boundary condition defines the dual…

High Energy Physics - Lattice · Physics 2008-11-26 Erek Bilgici , Falk Bruckmann , Christof Gattringer , Christian Hagen

Non-perturbative methods of effective field theory such like Lattice QCD have allowed to establish connection between the QCD Lagrangian and quark potential models, a prominent outcome being the Cornell (linear plus Coulomb) potential. In…

Nuclear Theory · Physics 2008-10-30 M. Kirchbach , C. Compean

The $\mathbb{C}P^{N-1}$ sigma model at finite temperature is studied using lattice Monte Carlo simulations on $S_{s}^{1} \times S_{\tau}^{1}$ with radii $L_{s}$ and $L_{\tau}$, respectively, where the ratio of the circumferences is taken to…

High Energy Physics - Theory · Physics 2019-11-25 Toshiaki Fujimori , Etsuko Itou , Tatsuhiro Misumi , Muneto Nitta , Norisuke Sakai

Confinement may be more easily demonstrated at finite temperature using the Polyakov loop than at zero temperature using the Wilson loop. A natural mechanism for confinement can arise via the coupling of the adjoint Polyakov loop to F_{mu…

High Energy Physics - Lattice · Physics 2009-10-30 Peter N. Meisinger , Michael C. Ogilvie

We investigate the deconfining phase transition in QCD_4 and QED_4 at finite temperature using a perturbative deformation of topological quantum field theory (TQFT). A modified maximal abelian gauge (MAG) is utilized in the analysis. In…

High Energy Physics - Theory · Physics 2010-02-03 Kentaroh Yoshida

In the Nambu--Jona-Lasinio model with Polyakov loops, we explore the relation between the deconfinement and chiral phase transitions within the mean-field approximation. We focus on the phase structure of the model and study the…

High Energy Physics - Phenomenology · Physics 2010-11-26 C. Sasaki , B. Friman , K. Redlich

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 the QCD phase diagram, in particular we study the critical points of the two main QCD phase transitions, confinement and chiral symmetry breaking. Confinement drives chiral symmetry breaking, and, due to the finite quark mass, at…

High Energy Physics - Phenomenology · Physics 2010-04-20 Pedro Bicudo

We study the deconfinement phase transition and monopole properties in the finite temperature 3D compact Abelian gauge model on the lattice. We predict the critical coupling as function of the lattice size in a simplified model to describe…

High Energy Physics - Lattice · Physics 2009-11-07 M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

I compute Polyakov loop, the deconfinement order parameter, for SU(2) lattice gauge theory using the fixed scale approach for several different scales and show how to obtain a renormalized physical order parameter. The generalization to…

High Energy Physics - Lattice · Physics 2011-04-04 Rajiv V. Gavai

We compare two renormalization procedures, one based on the short distance behavior of heavy quark-antiquark free energies and the other by using bare Polyakov loops at different temporal extent of the lattice and find that both…

High Energy Physics - Lattice · Physics 2008-11-26 Olaf Kaczmarek , Sourendu Gupta , Kay Hubner

Ab initio numerical simulations of the thermodynamics of dense quark matter remain a challenge. Apart from the infamous sign problem, lattice methods have to deal with finite volume and discretization effects as well as with the necessity…

High Energy Physics - Phenomenology · Physics 2015-12-23 Jens O. Andersen , Tomas Brauner , William R. Naylor

We develop a unified framework in which the dynamics of a scalar glueball field, originating from phenomenological nonperturbative QCD confinement, simultaneously governs the deconfinement transition of strongly interacting matter and…

High Energy Physics - Phenomenology · Physics 2025-12-17 Adamu Issifu , Julio C. M. Rocha , Francisco A. Brito , Tobias Frederico
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