Polyakov SU(3) extended linear-σmodel: Sixteen mesonic states in chiral phase structure

Abstract

In the mean field approximation, the derivative of the grand potential, nonstrange and strange condensates, and the deconfinement phase transition in a thermal and dense hadronic medium are verified in the SU(3) Polyakov linear-cr model (PLSM). The chiral condensates ox and ay are analyzed with the goal of determining the chiral phase transition. The temperature and density dependences of the chiral mesonic phase structures are taken as free parameters and fitted experimentally. They are classified according to the scalar meson nonets: (pseudo)scalar and (axial) vector. For the deconfinement phase transition, the effective Polyakov-loop potentials < p and </>* are implemented. The in-medium effects on the masses of sixteen mesonic states are investigated. The results are presented for two different forms for the effective Polyakov-loop potential and compared with other models, which include and exclude the anomalous terms. It is found that the Polyakov-loop potential has considerable effects on the chiral phase transition so that the restoration of the chiral symmetry breaking becomes sharper and faster. Assuming that the Matsubara frequencies contribute to the meson masses, we have normalized all mesonic states with respect to the lowest frequency. By doing this, we characterize temperatures and chemical potentials at which the different meson states dissolve to free quarks. Different dissolving temperatures and chemical potentials are estimated. The different meson states survive the typically averaged QCD phase boundary, which is defined by the QCD critical temperatures at varying chemical potentials. The thermal behavior of all meson masses has been investigated in the large-V,. limit. It is found that, at high T, the scalar meson masses are T independent (except n and a). For the pseudoscalar meson masses, the large-A,, limit unifies the T dependences of the various states into a universal bundle. The same is also observed for axial and axial-vector meson masses.

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

“…The chiral phase-structure in the limit of large number of colors (N c ) and the normalization of sixteen meson states with respect to the lowest Matsubara frequency are introduced in Ref. [35]. In finite magnetic field, the chiral phase-structure of (pseudo)-scalar and (axial)-vector meson masses has been analysed [31].…”

“…[35]. 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].…”

“…In a previous work, we have presented calculations for the chiral phase-structure of (pseudo)-scalar and (axial)-vector meson masses in thermal and dense medium with and without Polyakov corrections and/or anomaly contributions [35] a vanishing and finite magnetic effect [31]. The chiral phase-structure in the limit of large number of colors (N c ) and the normalization of sixteen meson states with respect to the lowest Matsubara frequency are introduced in Ref.…”

“…The chiral phase-structure of various mesonic states at finite temperatures has been evaluated with and without anomaly contributions [32][33][34] and in presence of finite magnetic fields [31].…”

“…Besides electrical conductivity, the magnetic catalysis, for instance, is found sensitive to the response of the strongly interacting system to finite electro-magnetic field [24][25][26][27][28][29][30][31].…”