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We couple the two-flavor Nambu--Jona-Lasinio model to a gluonic background corresponding to the gauge-field expectation value in the center-symmetric Landau gauge. Low-energy features in this gauge are captured by a center-symmetric…

High Energy Physics - Phenomenology · Physics 2026-01-23 V. Tomas Mari Surkau , Urko Reinosa

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

Two phenomenological models describing an SU(N) gluon plasma are presented using the eigenvalues of the Polyakov loop as the order parameters of the deconfinement transition. Each model has a single free parameter and exhibits behavior…

High Energy Physics - Lattice · Physics 2007-05-23 Peter N. Meisinger , Travis R. Miller , Michael C. Ogilvie

We study the deconfining phase transition in SU(N) gauge theories at nonzero temperature using a matrix model of Polyakov loops. The most general effective action, including all terms up to two spatial derivatives, is presented. At large N,…

High Energy Physics - Phenomenology · Physics 2009-11-10 Adrian Dumitru , Jonathan Lenaghan , Robert D. Pisarski

We report on the results of numerical simulations of 1+1 dimensional SU(N) Yang-Mills theory with maximal supersymmetry at finite temperature and compactified on a circle. For large N this system is thought to provide a dual description of…

High Energy Physics - Theory · Physics 2016-12-20 Simon Catterall , Anosh Joseph , Toby Wiseman

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

In this paper we consider the influence of relativistic rotation on the confinement/deconfinement transition in gluodynamics within lattice simulation. We perform the simulation in the reference frame which rotates with the system under…

High Energy Physics - Lattice · Physics 2021-05-26 V. V. Braguta , A. Yu. Kotov , D. D. Kuznedelev , A. A. Roenko

We analyze the confinement/deconfinement transition of pure Yang-Mills theories within the framework of the center-symmetric Landau gauge supplemented by a Curci-Ferrari mass term that models the effect of the associated Gribov copies in…

High Energy Physics - Phenomenology · Physics 2026-03-04 V. Tomas Mari Surkau , Urko Reinosa

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 approach the non-perturbative regime in finite temperature QCD within a formulation in Polyakov gauge. The construction is based on a complete gauge fixing. Correlation functions are then computed from Wilsonian renormalisation group…

High Energy Physics - Phenomenology · Physics 2008-12-08 Florian Marhauser , Jan M. Pawlowski

We consider scalegenesis, spontaneous scale symmetry breaking, by the scalar-bilinear condensation in $SU(N)$ scalar gauge theory. In an effective field theory approach to the scalar-bilinear condensation at finite temperature, we include…

High Energy Physics - Theory · Physics 2018-10-05 Jisuke Kubo , Masatoshi Yamada

We investigate the chiral condensate and the dressed Polyakov loop or dual chiral condensate at finite temperature and density in two-flavor Nambu--Jona-Lasinio model. The dressed Polyakov loop is regarded as an equivalent order parameter…

High Energy Physics - Phenomenology · Physics 2015-03-17 Tamal K. Mukherjee , Huan Chen , Mei Huang

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 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 present our investigations of SU($N$) adjoint QCD in two dimensions with one Majorana fermion on the lattice. We determine the relevant parameter range for the simulations with Wilson fermions and present results for Polyakov loop,…

High Energy Physics - Lattice · Physics 2024-04-08 Georg Bergner , Stefano Piemonte , Mithat Ünsal

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

The derivative of the grand potential in mean field approximation, non-strange and strange condensates and deconfinement phase-transition in thermal and dense hadronic medium are verified in extended SU(3) linear sigma-model (eLSM). In…

High Energy Physics - Phenomenology · Physics 2015-01-19 Abdel Nasser Tawfik , Abdel Magied Diab

We study the deconfining phase transition at nonzero temperature in a SU(N) gauge theory, using a matrix model which was analyzed previously at small N. We show that the model is soluble at infinite N, and exhibits a Gross-Witten-Wadia…

High Energy Physics - Theory · Physics 2015-06-05 Robert D. Pisarski , Vladimir V. Skokov

We present a study of the free energy of parameterized Polyakov loops P in SU(2) and SU(3) lattice gauge theory as a function of the parameters that characterize P. We explore temperatures below and above the deconfinement transition, and…

High Energy Physics - Lattice · Physics 2015-06-05 Dmitri Diakonov , Christof Gattringer , Hans-Peter Schadler

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