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Related papers: Polyakov Loops versus Hadronic States

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The order parameter for the pure Yang-Mills phase transition is the Polyakov loop, which encodes the symmetries of the Z_N center of the SU(N) gauge group. The physical degrees of freedom of any asymptotically free gauge theory are hadronic…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Mocsy , F. Sannino , K. Tuominen

The Polyakov loop is the appropriate deconfinement order parameter for Yang-Mills theories without quarks or with quarks in the adjoint representation of the gauge group. However it is not a physical state of the theory so the information…

High Energy Physics - Phenomenology · Physics 2007-05-23 Agnes Mocsy , Francesco Sannino , Kimmo Tuominen

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 show that all of the relevant features of a phase transition can be determined using a non order parameter field which is a physical state of the theory. This fact allows us to understand the deconfining transition of the pure Yang-Mills…

High Energy Physics - Phenomenology · Physics 2009-11-10 Agnes Mocsy , Francesco Sannino , Kimmo Tuominen

We formulate a random matrix-like model for the Polyakov loop in SU(N) Yang-Mills theories. It describes a simplified dynamics in terms of eigenvalue differences. The deconfinement phase transition encoded in center symmetry breaking is…

High Energy Physics - Phenomenology · Physics 2010-07-27 Falk Bruckmann

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 investigate the thermodynamic behavior and phase diagram of $SU(3)$ Yang-Mills theory on $\mathbb{T}^2 \times \mathbb{R}^2$ in Euclidean spacetime using an effective model. In our approach, the Polyakov loops along the compactified…

High Energy Physics - Phenomenology · Physics 2025-03-26 Daisuke Fujii , Akihiro Iwanaka , Masakiyo Kitazawa , Daiki Suenaga

Basing on a semiclassical picture of dyons, we present a nonperturbative model of a pure Yang--Mills theory at any temperatures, for an arbitrary simple gauge group. We argue that at low temperatures dyons drive the Yang--Mills system for…

High Energy Physics - Theory · Physics 2011-07-28 Dmitri Diakonov , Victor Petrov

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

We study the confinement-deconfinement phase transition of pure Yang-Mills theories at finite temperature using a simple massive extension of standard background field methods. We generalize our recent next-to-leading-order perturbative…

High Energy Physics - Theory · Physics 2016-05-11 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

The Polyakov loop variable serves as an order parameter to characterize the confined and deconfined phases of Yang-Mills theory. By integrating out the vector fields in the SU(2) Yang-Mills partition function in one-loop approximation, an…

High Energy Physics - Theory · Physics 2009-10-30 Michael Engelhardt , Hugo Reinhardt

The phase transition for a finite volume system that incorporates the Polyakov loops and maintains the colorless state is explored using the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model. The order parameter for Polyakov loops is…

Nuclear Theory · Physics 2011-07-28 I. Zakout , C. Greiner

We study the phase structure of N=1 supersymmetric Yang-Mills theory on R^3XS^1, with massive gauginos, periodic around the S^1, with Sp(2N) (N>=2), Spin(N) (N>=5), G_2, F_4, E_6, E_7, E_8 gauge groups. As the gaugino mass m is increased,…

High Energy Physics - Theory · Physics 2015-06-19 Mohamed M. Anber , Erich Poppitz , Brett Teeple

We investigate the thermodynamics and phase structure of $SU(3)$ Yang-Mills theory on $\mathbb{T}^2\times\mathbb{R}^2$ with anisotropic spatial volumes in Euclidean spacetime in lattice numerical simulations and an effective model. In…

High Energy Physics - Lattice · Physics 2025-02-14 Masakiyo Kitazawa , Daisuke Fujii , Akihiro Iwanaka , Daiki Suenaga

In two-dimensional Yang-Mills and generalized Yang-Mills theories for large gauge groups, there is a dominant representation determining the thermodynamic limit of the system. This representation is characterized by a density the value of…

High Energy Physics - Theory · Physics 2008-11-26 M. Khorrami , M. Alimohammadi

We study phase transitions in $SU(\infty)$ gauge theories at nonzero temperature using matrix models. Our basic assumption is that the effective potential is dominated by double trace terms for the Polyakov loops. As a function of the…

High Energy Physics - Theory · Physics 2018-02-21 Hiromichi Nishimura , Robert D. Pisarski , Vladimir V. Skokov

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

We give an analytical derivation of the confinement/deconfinement phase transition at finite temperature in the $SU(N)$ Yang-Mills theory in the $D$-dimensional space time for $D>2$. For this purpose, we use a novel reformulation of the…

High Energy Physics - Theory · Physics 2015-11-19 Kei-Ichi Kondo , Akihiro Shibata

We investigate the phase diagram and thermodynamics of $SU(N)$ pure Yang-Mills theory on a manifold $\mathbb{T}^2\times \mathbb{R}^2$ with an effective model that includes two Polyakov loops along two compactified directions. We find that a…

High Energy Physics - Phenomenology · Physics 2023-05-16 Daiki Suenaga , Masakiyo Kitazawa

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
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