Polyakov linear SU(3)σmodel: Features of higher-order moments in a dense and thermal hadronic medium

Abstract

In order to characterize the higher order moments of the particle multiplicity, we implement the linear-sigma model with Polyakov-loop correction. We first studied the critical phenomena and estimated some thermodynamic quantities. Then, we compared all these results with the first-principle lattice QCD calculations. Then, the extensive study of non-normalized four moments is followed by investigating their thermal and density dependences. We repeat this for moments normalized to temperature and chemical potential. The fluctuations of the second order moment is used to estimate the chiral phase-transition. Then, we implement all these in mapping out the chiral phase transition, which shall be compared with the freeze-out parameters estimated from the lattice QCD simulations and the thermal models are compared with the chiral phase-diagram.

SU(3) Polyakov linear-sigma model: Conductivity and viscous properties of QCD matter in thermal medium

“…Various expressions fulfilling QCD symmetries in pure-gauge theory have been proposed [4,5,7,58]. In all our previous works [35,37,60,61], we have utilized the simplest polynomial-form. But, in the present work,…”

“…In finite magnetic field, the chiral phase-structure of (pseudo)-scalar and (axial)-vector meson masses has been analysed [31]. Recently, study of QGP in presence of external magnetic field has been conducted [31,36,37]. Furthermore, at nonzero magnetic field, viscous properties from Boltzmann-Uehling-Uhlenbeck (BUU) equation have been compare with the ones from Green-Kubo (GK) correlations in relaxation time approximation (RTA), which are based on relativistic kinetic theory [36].…”

Quark-hadron phase structure of QCD matter from SU(4) Polyakov linear sigma model

“…Nowadays, the experimental and theoretical studies of charm physics turns to be a very active field in hadronic physics [1]. It was shown that the PLSM model, which is a QCDlike model, describes very successfully the phenomenology of the SU(3) quark-hadron structure in thermal and dense medium and also at finite magnetic field [2][3][4][5][6][7][8][9][10]. At low densities or as the temperature decreases, the quark gluon plasma (QGP), where the degrees of freedom of quark flavors, N f , are dominated, is conjectured to confine forming hadrons.…”

SU( 4 ) Polyakov linear-sigma model at finite temperature and density

“…At vanishing quark masses, the chiral symmetries represent basic properties of the QCD Lagrangian, while at finite current quark masses, the chiral symmetry is explicitly broken [3] and the QCD phasediagram can be described by the first-principle LQCD [4,5] and various QCD-like approaches. In charactering SU (2) and SU(3), the Polyakov Nambu-Jona Lasinio (PNJL) model [6,7,8] and the Polyakov linear-sigma model (PLSM) [9,10,11,12,13,14,15,16,17,18,19,20,21,22,23] have been implemented. The SU(4) Lagrangian has the same structure as that of SU(3) [9], for instance.…”