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We consider the Polyakov Nambu Jona Lasinio model with three massless quarks at high density and moderate temperature in the superconductive color flavor locking phase. We compute the critical temperature $T_c$ as a function of the baryonic…

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

The thermodynamic potential and thermal dependence of low lying mass spectra of scalars and pseudoscalars are evaluated in a generalized Nambu -- Jona-Lasinio model, which incorporates eight-quark interactions. These are necessary to…

High Energy Physics - Phenomenology · Physics 2009-11-13 B. Hiller , A. A. Osipov , J. Moreira , A. H. Blin

We derive the linear Langevin equation that describes the behavior of critical fluctuation above the critical temperature of the chiral phase transition in the Nambu-Jona-Lasinio model. The Langevin equation relaxes exhibiting oscillation…

Nuclear Theory · Physics 2007-05-23 T. Koide , M. Maruyama

The dual quark condensate $\Sigma^{(n)}$ proposed recently as a new order parameter of the spontaneous breaking of the ${\mathbb Z}_3$ symmetry are evaluated by the Polyakov-loop extended Nambu--Jona-Lasinio model, where $n$ are winding…

High Energy Physics - Phenomenology · Physics 2010-01-08 Kouji Kashiwa , Hiroaki Kouno , Masanobu Yahiro

We study order parameters for the confinement-deconfinement phase transition related to the Polyakov-loop variable. The functional renormalisation group is used to compute these order parameters in a unified, non-perturbative continuum…

High Energy Physics - Phenomenology · Physics 2015-10-14 Tina K. Herbst , Jan Luecker , Jan M. Pawlowski

We study the behavior of strongly interacting matter under a uniform intense external magnetic field in the context of nonlocal extensions of the Polyakov-Nambu-Jona-Lasinio model. A detailed description of the formalism is presented,…

High Energy Physics - Phenomenology · Physics 2017-12-22 D. Gomez Dumm , M. F. Izzo Villafañe , S. Noguera , V. P. Pagura , N. N. Scoccola

Usual treatment of the Nambu--Jona-Lasinio (NJL) model using loop momentum cutoff suffers from ambiguities in choosing the loop momenta to be cut off and violation of (external) gauge invariance. We define the NJL model from the starting…

High Energy Physics - Phenomenology · Physics 2009-10-28 Takashi HAMAZAKI , Taichiro KUGO

We consider an extended Nambu--Jona-Lasinio (NJL) model for the light meson sector of QCD where unphysical quark production thresholds are excluded by an infrared cut-off on the momentum integration within quark loop diagrams. This chiral…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Blaschke , G. Burau , M. K. Volkov , V. L. Yudichev

We propose that in QCD with dynamical quarks, colour deconfinement occurs when an external field induced by the chiral condensate strongly aligns the Polyakov loop. This effect sets in at the chiral symmetry restoration temperature…

High Energy Physics - Lattice · Physics 2009-10-31 S. Digal , E. Laermann , H. Satz

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

In this paper we discuss symmetry breakdown in NJL model at low N_c. In particular we propose a modified NJL model that displays a symmetry breakdown and also at finite temperatures under certain conditions the chiral fluctuations in this…

High Energy Physics - Phenomenology · Physics 2009-10-31 Egor Babaev

The Nambu-Jona-Lasinio (NJL) model has been widely studied for investigating the chiral phase structure of strongly interacting matter. The study of the thermodynamics of field theories within the framework of Lattice Field Theory is…

High Energy Physics - Phenomenology · Physics 2022-12-06 Alexander M. Czajka , Zhong-Bo Kang , Henry Ma , Fanyi Zhao

The survival of \bar q q bound states at temperatures higher than the chiral restoration temperature, T_c, recently observed in lattice QCD, is discussed in the framework of the Nambu Jona-Lasinio model. The perturbative determination of…

High Energy Physics - Phenomenology · Physics 2009-11-11 Paolo Castorina , Giuseppe Nardulli , Dario Zappala'

Temperature dependence of pion and sigma-meson screening masses is evaluated by the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model with the entanglement vertex. We propose a practical way of calculating meson screening masses in…

High Energy Physics - Phenomenology · Physics 2014-05-19 Masahiro Ishii , Takahiro Sasaki , Kouji Kashiwa , Hiroaki Kouno , Masanobu Yahiro

The linear-$\sigma$ model has been widely used to describe the chiral phase transition. Numerically, the critical temperature $T_{c}$ of the chiral phase transition is in agreement with other effective theories of QCD. However, in the…

High Energy Physics - Phenomenology · Physics 2011-10-24 Achim Heinz

Recent work on QCD-like theories has shown that the addition of adjoint fermions obeying periodic boundary conditions to gauge theories on $R^{3}\times S^{1}$ can lead to a restoration of center symmetry and confinement for sufficiently…

High Energy Physics - Lattice · Physics 2010-04-06 Hiromichi Nishimura , Michael C. Ogilvie

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

We investigate the confining phase transition as function of temperature for theories with dynamical fermions in the two index symmetric and antisymmetric representation of the gauge group. By studying the properties of the center of the…

High Energy Physics - Theory · Physics 2009-11-11 Francesco Sannino

The $\mathbb{C}P^{N-1}$ sigma model at finite temperature is studied using lattice Monte Carlo simulations on $S_{s}^{1} \times S_{\tau}^{1}$ with radii $L_{s}$ and $L_{\tau}$, respectively, where the ratio of the circumferences is taken to…

High Energy Physics - Theory · Physics 2019-11-25 Toshiaki Fujimori , Etsuko Itou , Tatsuhiro Misumi , Muneto Nitta , Norisuke Sakai

The Monte-Carlo method is applied to the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model. This leads beyond the saddle-point approximation in a mean-field calculation and introduces fluctuations around the mean fields. We study the…

High Energy Physics - Phenomenology · Physics 2014-11-20 M. Cristoforetti , T. Hell , B. Klein , W. Weise