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Related papers: Confinement-Deconfinement Transition in 3-Dimensio…

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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

A natural mechanism for finite temperature quark confinement arises via the coupling of the adjoint Polyakov loop to the chromomagnetic field. Lattice simulations and analytical results both support this hypothesis. Finite temperature SU(3)…

High Energy Physics - Lattice · Physics 2009-10-30 Michael Ogilvie

Two phenomenological models describing an SU(N) quark-gluon plasma are presented. The first is obtained from high temperature expansions of the free energy of a massive gluon, while the second is derived by demanding color neutrality over a…

High Energy Physics - Phenomenology · Physics 2009-11-07 Peter N. Meisinger , Travis R. Miller , Michael C. Ogilvie

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

The effective potential of the order parameter for confinement is calculated within the variational approach to the Hamilton formulation of Yang-Mills theory. Compactifying one spatial dimension and using a background gauge fixing this…

High Energy Physics - Theory · Physics 2013-12-19 Hugo Reinhardt , Jan Heffner

We perform an improvement in a thermodynamical consistent model with density dependent quark masses ($m'_{u,d,s}$) by introducing effects of quark confinement/deconfinement phase transition, at high density regime and zero temperature, by…

High Energy Astrophysical Phenomena · Physics 2023-11-10 Isabella Marzola , Sérgio B. Duarte , César H. Lenzi , Odilon Lourenço

We study the relation between the continuum threshold as function of the temperature $s_0(T)$ within finite energy sum rules and the trace of the Polyakov loop $\Phi$ in the framework of a nonlocal SU(2) chiral quark model, establishing a…

High Energy Physics - Phenomenology · Physics 2017-02-15 J. P. Carlomagno , M. Loewe

We investigate the confinement-deconfinement phase transition at finite temperature of the SU(3) Yang-Mills(YM) theory on the lattice from a viewpoint of the dual superconductor picture based on the novel reformulation of the YM theory. In…

High Energy Physics - Lattice · Physics 2019-11-05 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato

We show that the effective potentials for the Polyakov loops in finite temperature SU$(N)$ gauge theories obey a certain scaling relation with respect to temperature in the large-$N$ limit. This scaling relation strongly constrains the…

High Energy Physics - Theory · Physics 2025-10-22 Takehiro Azuma , Takeshi Morita

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 investigate the thermodynamics and phase structure of $SU(3)$ Yang-Mills theory on $\mathbb{T}^2\times\mathbb{R}^2$ in Euclidean spacetime in an effective-model approach. The model incorporates two Polyakov loops along two compactified…

High Energy Physics - Phenomenology · Physics 2024-11-13 Daisuke Fujii , Akihiro Iwanaka , Masakiyo Kitazawa , Daiki Suenaga

The Polyakov loop potential serves to distinguish between the confined hadronic and the deconfined quark-gluon plasma phases of QCD. For Nf=2+1 quark flavors with physical masses we determine the Polyakov loop potential at finite…

High Energy Physics - Phenomenology · Physics 2015-06-16 Christian S. Fischer , Leonard Fister , Jan Luecker , Jan M. Pawlowski

The 2+1 dimensional pure SU(N) gauge theories with N <= 4 are candidates for applying the powerful tools of scaling and universality to their deconfinement transitions at finite temperature. The corresponding 2 dimensional q-state Potts…

High Energy Physics - Phenomenology · Physics 2015-05-20 Lorenz von Smekal , Sam R Edwards , Nils Strodthoff

We study the interpretation of Lattice data about the thermodynamics of the deconfinement phase of SU(3) Yang-Mills theory, in terms of gluon quasiparticles propagating in a background of a Polyakov loop. A potential for the Polyakov loop,…

High Energy Physics - Phenomenology · Physics 2013-05-30 M. Ruggieri , P. Alba , P. Castorina , S. Plumari , C. Ratti , V. Greco

There is a sharp increase in the relative number of degrees of freedom at the deconfining phase transition. Characterizing this increase using the Polyakov Loop model, we find that for a nearly second order deconfining phase transition, the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Adrian Dumitru , Robert D. Pisarski

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 study the dynamics of confinement-deconfinement (C-D) phase transition in the context of relativistic heavy-ion collisions within the framework of effective models for the Polyakov loop order parameter. We study the formation of $Z(3)$…

High Energy Physics - Phenomenology · Physics 2010-10-27 Uma Shankar Gupta , Ranjita K. Mohapatra , Ajit M. Srivastava , Vivek K. Tiwari

We investigate the confinement mechanism in three-flavor QCD with imaginary isospin chemical potentials $(\mu_u,\mu_d,\mu_s)=(i\theta T,-i\theta T,0)$, using the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model, where $T$ is…

High Energy Physics - Phenomenology · Physics 2015-06-12 Hiroaki Kouno , Takahiro Makiyama , Takahiro Sasaki , Yuji Sakai , Masanobu Yahiro

A three-dimensional effective theory of Polyakov loops has recently been derived from Wilson's Yang-Mills lattice action by means of a strong coupling expansion. It is valid in the confined phase up to the deconfinement phase transition,…

High Energy Physics - Lattice · Physics 2015-06-18 Georg Bergner , Jens Langelage , Owe Philipsen

In a recent work we have proposed a perturbative approach for the study of the phase transition of pure Yang-Mills theories at finite temperature. This is based on a simple massive extension of background field methods in the Landau-DeWitt…

High Energy Physics - Theory · Physics 2015-06-23 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor
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