Chiral phase structure and sixteen meson states in SU(3) Polyakov linear-sigma model at finite temperature and chemical potential in strong magnetic field

Abstract

In characterizing the chiral phase-structure of pseudoscalars ($J^{pc}=0^{-+}$), scalars ($J^{pc}=0^{++}$), vectors ($J^{pc}=1^{--}$) and axial-vectors ($J^{pc}=1^{++}$) meson states and their dependence on temperature, chemical potential, and magnetic fields, we utilize SU($3$) Polyakov linear-sigma model (PLSM) in mean-field approximation. We first determine the chiral (non)strange quark condensates, ${\sigma }_l$ and ${\sigma }_s$ and the corresponding deconfinement order parameters, $\varphi$ and ${\varphi }^{\ast }$, respectively, in thermal and dense (finite chemical potential) medium and finite magnetic field. The temperature and the chemical potential characteristics of nonet meson states normalized to the lowest {\it bosonic} Matsubara frequencies are analyzed. We noticed that all normalized meson masses become temperature independent at different {\it critical} temperatures. We observe that the chiral and deconfinement phase transitions are shifted to lower {\it quasicritical} temperatures with increasing chemical potential and magnetic field. Thus, we conclude that the magnetic field seems to have almost the same effect as that of the chemical potential, especially on accelerating the phase transition, i.e. inverse magnetic catalysis. We also find that increasing chemical potential enhances the mass degeneracy of the various meson masses, while increasing the magnetic field seems to reduce the critical chemical potential, at which the chiral phase transition takes place. Our mass spectrum calculations agree well with the recent PDG compilations and PNJL, lattice QCD calculations, and QMD/UrQMD simulations.

arXiv comment20 pages, 7 figures, 2 tables, accepted for publication in CPC

References in corpus (41)

• Microscopic Models for Ultrarelativistic Heavy Ion Collisions
• Estimate of the magnetic field strength in heavy-ion collisions
• The chiral and deconfinement aspects of the QCD transition
• Phases of QCD: lattice thermodynamics and a field theoretical model
• Event-by-event generation of electromagnetic fields in heavy-ion collisions
• The QCD phase diagram for external magnetic fields
• The Phase Structure of the Polyakov--Quark-Meson Model
• Polyakov loop, diquarks and the two-flavour phase diagram
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• Event-by-event fluctuations of magnetic and electric fields in heavy ion collisions
• The Quark-Gluon Plasma in Equilibrium
• Chiral Phase Transition within Effective Models with Constituent Quarks
• Inverse magnetic catalysis and the Polyakov loop
• Phase diagram of hot QCD in an external magnetic field: possible splitting of deconfinement and chiral transitions
• Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model
• The QCD equation of state in background magnetic fields
• Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons
• Vacuum fluctuations and the thermodynamics of chiral models
• The three-flavor chiral phase structure in hot and dense QCD matter
• Phase transitions in quantum chromodynamics
• Physical Point Simulation in 2+1 Flavor Lattice QCD
• Aspects of Chiral Symmetry
• Polyakov loop fluctuations in SU(3) lattice gauge theory and an effective gluon potential
• Scalar-pseudoscalar meson behavior and restoration of symmetries in SU(3) PNJL model
• A search for inverse magnetic catalysis in thermal quark-meson models
• Three-flavor Nambu--Jona-Lasinio model at finite isospin chemical potential
• Equilibrium Statistical-Thermal Models in High-Energy Physics
• Analysis of U${}_A$(1) symmetry-breaking and restoration effects on the scalar-pseudoscalar spectrum
• Fluctuations and isentropes near the chiral critical endpoint
• Shear Viscosity of a Hot Pion Gas
• A real-time thermal field theoretical analysis of Kubo-type shear viscosity : Numerical understanding with simple examples
• Meson Masses and Mixing Angles in 2+1 Flavor Polyakov Quark Meson Sigma Model and Symmetry Restoration Effects
• Polyakov SU(3) extended linear $\sigma$-model: Sixteen mesonic states in chiral phase-structure
• SU(3) Polyakov Linear Sigma-Model in an External Magnetic Field
• Effective restoration of the U_A(1) symmetry with temperature and density
• Polyakov linear SU(3) sigma model: features of higher order moments in dense and thermal hadronic medium
• SU(3) Polyakov linear-sigma model: Conductivity and viscous properties of QCD matter in thermal medium
• Comparing symmetry restoration trends for meson masses and mixing angles in the QCD-like three quark flavor models
• SU(3) Polyakov linear-sigma model: Magnetic properties of QCD matter in thermal and dense medium
• Thermodynamics and higher order moments in SU(3) linear $\sigma$-model with gluonic quasi-particles
• A PNJL model in 0+1 Dimensions

Cited by in corpus (13)

• Inverse magnetic catalysis -- how much do we know about?
• SU(3) Polyakov Linear-Sigma Model With Finite Isospin Asymmetry: QCD Phase Diagram
• Mass spectra of neutral mesons $K_0,{\pi }_0,\eta ,{\eta }^{\prime }$ at finite magnetic field, temperature and baryon chemical potential
• Chiral magnetic properties of QCD phase-diagram
• Probing the hadron mass spectrum in dense two-color QCD with the linear sigma model
• Polyakov linear-sigma model in mean-field approximation and optimized perturbation theory
• Charged particles interaction in both a finite volume and a uniform magnetic field II: topological and analytic properties of a magnetic system
• Deconfinement and freezeout boundaries in equilibrium thermal models
• Bulk viscosity in strong and electroweak matter
• In-medium effect on the thermodynamics and transport coefficients in van der Waals hadron resonance gas
• Mass Spectrum of Non-Charmed and Charmed Meson States in Extended Linear-Sigma Model
• Derivation of Meson Masses in SU(3) and SU(4) Extended Linear-Sigma Model at Finite Temperature
• Non-extensive Effects on the QCD Equation of State and Fluctuations of Conserved Charges within Polyakov Quark Meson Model