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We study the interplay between the chiral and the deconfinement transitions, both at high temperature and high quark chemical potential, by a non local Nambu-Jona Lasinio model with the Polyakov loop in the mean field approximation and…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Abuki , R. Anglani , R. Gatto , G. Nardulli , M. Ruggieri

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

Dirac spectrum representations of the Polyakov loop fluctuations are derived on the temporally odd-number lattice, where the temporal length is odd with the periodic boundary condition. We investigate the Polyakov loop fluctuations based on…

High Energy Physics - Lattice · Physics 2015-11-17 Takahiro M. Doi , Krzysztof Redlich , Chihiro Sasaki , Hideo Suganuma

We derive an analytical gauge-invariant relation between the Polyakov loop $\langle L_P \rangle$ and the Dirac eigenvalues $\lambda_n$ in QCD, i.e., $\langle L_P \rangle \propto \sum_n \lambda_n^{N_t -1} \langle n|\hat U_4|n \rangle$, on a…

High Energy Physics - Lattice · Physics 2013-11-18 Hideo Suganuma , Takahiro M. Doi , Takumi Iritani

In an extension of the Nambu-Jona-Lasinio model where the quarks interact with the temporal gluon field, represented by the Polyakov loop, we explore the relation between the deconfinement and chiral phase transitions. The effect of…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Sasaki , B. Friman , K. Redlich

We discuss different aspects of the quark mass dependence of the chiral and deconfinement transitions. We make predictions for locating the deconfining critical point, by analyzing the $m_q$ dependence of the ratio of imaginary and real…

High Energy Physics - Phenomenology · Physics 2009-11-10 Agnes Mocsy

We investigate the QCD phase diagram by using the strong-coupling expansion of the lattice QCD with one species of staggered fermion and the Polyakov loop effective action at finite temperature (T) and quark chemical potential (mu). We…

High Energy Physics - Lattice · Physics 2011-06-08 Kohtaroh Miura , Takashi Z. Nakano , Akira Ohnishi , Noboru Kawamoto

The deconfinement and chiral phase transitions are studied in the context of the electrized quark matter at finite temperature in the two-flavor Polyakov-Nambu--Jona-Lasinio model. Using the mean field approximation and an electric field…

High Energy Physics - Phenomenology · Physics 2020-02-14 William R. Tavares , Ricardo L. S. Farias , Sidney S. Avancini

We study QCD with three degenerate flavors of dynamical quarks using first-principles lattice simulations. For a specific choice of imaginary isospin chemical potential, this theory possesses an exact center symmetry, just like pure gauge…

High Energy Physics - Lattice · Physics 2026-03-24 Gergely Endrodi , Guy D. Moore , Adam Pieczynski , Alessandro Sciarra

Our aim is to give a self-contained review of recent advances in the analytic description of the deconfinement transition and determination of the deconfinement temperature in lattice QCD at large N. We also include some new results, as for…

High Energy Physics - Theory · Physics 2015-06-26 M. Billo' , M. Caselle , A. D'Adda , S. Panzeri

We calculate the deconfinement line of transitions for large Nc QCD at finite temperature and chemical potential in two different regimes: weak coupling in the continuum, and, strong coupling on the lattice, working in the limit where Nf is…

High Energy Physics - Theory · Physics 2015-06-05 Timothy J. Hollowood , Joyce C. Myers

Quantum Chromodynamics exhibits a hadronic confined phase at low to moderate temperatures and, at a critical temperature $T_C$, undergoes a transition to a deconfined phase known as the quark-gluon plasma. The nature of this deconfinement…

High Energy Physics - Lattice · Physics 2014-06-13 Finn M. Stokes , Waseem Kamleh , Derek B. Leinweber

The low-lying Dirac modes become localised at the finite-temperature transition in QCD and in other gauge theories, suggesting a general connection between their localisation and deconfinement. The simplest model where this connection can…

High Energy Physics - Lattice · Physics 2021-10-29 György Baranka , Matteo Giordano

We analyze the expectation value of the Polyakov loop in the fundamental and higher representations in the confined phase of QCD. We discuss a hadronic like representation, and find that the Polyakov loop corresponds to a partition function…

High Energy Physics - Phenomenology · Physics 2014-04-10 E. Megias , E. Ruiz Arriola , L. L. Salcedo

Properties of local Polyakov loops are studied in finite temperature lattice QCD and SU(3) lattice gauge theory. We evaluate local Polyakov loops, identify the closest center element for each loop and investigate cluster properties of these…

High Energy Physics - Lattice · Physics 2011-03-02 Julia Danzer , Christof Gattringer , Szabolcs Borsanyi , Zoltan Fodor

Two distinct phase transitions occur at different temperatures in QCD with adjoint fermions (aQCD): deconfinement and chiral symmetry restoration. In this model, quarks do no explicitely break the center Z(3) symmetry and therefore the…

High Energy Physics - Lattice · Physics 2008-11-26 G. Cossu , M. D'Elia , A. Di Giacomo , G. Lacagnina , C. Pica

We study interplay between confinement/deconfinement and chiral properties. We derive some analytical relations of the Dirac modes with the confinement quantities, such as the Polyakov loop, its susceptibility and the string tension. For…

High Energy Physics - Lattice · Physics 2017-12-13 Hideo Suganuma , Takahiro M. Doi , Krzysztof Redlich , Chihiro Sasaki

A recently proposed phenomenological model, which includes nonperturbative effects from dimension two gluon condensates, is applied to analyze the available lattice data for the heavy quark free energy in the deconfined phase of quenched…

High Energy Physics - Phenomenology · Physics 2025-01-23 E. Megias , E. Ruiz Arriola , L. L. Salcedo

We put forward a Polyakov-loop extended quark meson model, where matter as well as glue fluctuations are taken into account, cf. [1]. The latter are included via a Polyakov-loop potential. Usually such a glue potential is based on…

High Energy Physics - Phenomenology · Physics 2014-01-09 Tina K. Herbst , Mario Mitter , Jan M. Pawlowski , Bernd-Jochen Schaefer , Rainer Stiele

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
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