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We construct a hadron-quark two-phase model based on the Walecka-quantum hadrodynamics and the improved Polyakov-Nambu--Jona-Lasinio model with an explicit chemical potential dependence of Polyakov-loop potential ($\mu$PNJL model). With…

Nuclear Theory · Physics 2016-07-13 Guo-yun Shao , Zhan-duo Tang , Massimo Di Toro , Maria Colonna , Xue-yan Gao , Ning Gao

The effective action for the Polyakov loop serving as an order parameter for deconfinement is obtained in one-loop approximation to second order in a derivative expansion. The calculation is performed in $d\geq 4$ dimensions, mostly…

High Energy Physics - Theory · Physics 2009-10-31 Holger Gies

We extend the hadronic SU(3) non-linear sigma model to include quark degrees of freedom. The choice of potential for the Polyakov loop as a function of temperature and chemical potential allows us to construct a realistic phase diagram from…

Solar and Stellar Astrophysics · Physics 2010-04-29 V. A. Dexheimer , S. Schramm

In quenched QCD the Polyakov loop is an order parameter of the deconfinement transition, but with decreasing quark mass, the peak in the Polyakov loop susceptibility becomes less pronounced, and it loses its interpretation as an indicator…

High Energy Physics - Lattice · Physics 2024-01-04 David A. Clarke , Olaf Kaczmarek , Frithjof Karsch , Anirban Lahiri

The aim of this work is to shed light on some lesser known aspects of Polyakov-loop--extended chiral models (namely the Polyakov-loop extended Nambu--Jona-Lasinio and Quark-Meson models), especially on the correlation of the quark sector…

High Energy Physics - Phenomenology · Physics 2020-05-06 Hubert Hansen , Rainer Stiele , Pedro Costa

Heavy quark potentials are investigated at high temperatures. The temperature range covered by the analysis extends from $T$ values just below the deconfinement temperature up to about $4 T_c$ in the deconfined phase. We simulated the pure…

High Energy Physics - Lattice · Physics 2009-10-31 Olaf Kaczmarek , Frithjof Karsch , Edwin Laermann , Martin Lutgemeier

We show that recent available lattice data for the renormalized Polyakov loop above the deconfinement phase transition exhibit unequivocal inverse power temperature corrections driven by a dimension 2 gluon condensate. This simple ansatz…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Megias , E. Ruiz Arriola , L. L. Salcedo

We review theoretical aspects of quantum chromodynamics (QCD) at finite temperature. The most important physical variable to characterize hot QCD is the Polyakov loop, which is an approximate order parameter for quark deconfinement in a hot…

High Energy Physics - Phenomenology · Physics 2017-09-13 Kenji Fukushima , Vladimir Skokov

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 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 $D>2$. We elucidate what is the mechanism for quark confinement…

High Energy Physics - Theory · Physics 2015-09-30 Kei-Ichi Kondo

We study SU(2) Yang-Mills theory at finite temperature in the framework of the functional renormalization group. We concentrate on the effective potential for the Polyakov loop which serves as an order parameter for confinement. In this…

High Energy Physics - Phenomenology · Physics 2009-11-11 J. Braun , H. Gies , H. J. Pirner

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

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

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

The critical behavior of non-order parameter fields is discussed. We show that relevant features of the deconfining phase transition can be determined by monitoring universal properties induced by the order parameter on the physical…

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

We explore the confinement-deconfinement phase transition (PT) of the first order (FO) arising in $SU(N)$ pure Yang-Mills theory, based on Polyakov loop models (PLMs), in light of the induced gravitational wave (GW) spectra. We demonstrate…

High Energy Physics - Phenomenology · Physics 2024-01-31 Zhaofeng Kang , Shinya Matsuzaki , Jiang Zhu

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

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

High Energy Physics - Theory · Physics 2013-01-14 Hugo Reinhardt , Jan Heffner

We derive an effective thermodynamic potential (Omega_eff) at finite temperature (T>0) and zero quark-chemical potential (mu_R=0), using the singular-gauge instanton solution and Matsubara formula for N_c=3 and N_f=2 in the chiral limit.…

High Energy Physics - Phenomenology · Physics 2010-05-28 Seung-il Nam

We examine the statistical mechanics of a 1-dimensional gas of both adjoint and fundamental representation quarks which interact with each other through 1+1-dimensional U(N) gauge fields. Using large-N expansion we show that, when the…

High Energy Physics - Theory · Physics 2009-10-30 C. R. Gattringer , L. D. Paniak , G. W. Semenoff