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

2014/05/03 by Abdel Nasser Tawfik, A. Tawfik, N. Magdy +2 · 3 citations
Mathematics · Physics and Astronomy · #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Mathematical analysis #Mathematics #Multiplicity (mathematics) #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Thermal #Thermodynamics #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevc.89.055210

published as Phys. Rev. C 89, 055210 (2014) · 38 pages, 17 figures with 30 eps graphs to appear in PRC

arxiv created 2014/05/03 · openalex publication_date 2014/05/30 · arxiv updated 2015/06/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In order to characterize the higher-order moments of 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 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 are used to estimate the chiral phase transition. Then, we implement all these in mapping out the chiral phase transition, which is compared with the freeze-out parameters estimated from the lattice QCD simulations, and the thermal models are compared with the chiral phase diagram.

Citations

• Thermal Description of Particle Production in Au-Au Collisions at STAR Energies
• Susceptibilities and speed of sound from the Polyakov-Nambu-Jona-Lasinio model
• Critical surface of theSU(3)L×SU(3)Rchiral quark model at nonzero baryon density
• Chiral effective model with the Polyakov loop
• Effective Lagrangians and Field Algebras with Chiral Symmetry
• Thermodynamics at non-zero baryon number density: a comparison of lattice and hadron resonance gas model calculations
• Condition driving chemical freeze-out
• From QCD lattice calculations to the equation of state of quark matter
• QCD equation of state with almost physical quark masses
• The axial vector current in beta decay
• Three-flavor chiral phase structure in hot and dense QCD matter
• Polyakov loop, diquarks, and the two-flavor phase diagram

Cited by

• Thermodynamics and higher order moments in SU(3) linear σ-model with gluonic quasi-particles
• Polyakov SU(3) extended linear-σmodel: Sixteen mesonic states in chiral phase structure
• SU(3) Polyakov linear-<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>σ</mi></math></span> model in an external magnetic field

Related

• SU(3) Polyakov Linear-Sigma Model With Finite Isospin Asymmetry: QCD Phase Diagram
• SU(4) Polyakov linear-sigma model at finite temperature and density
• SU(3) Polyakov linear-sigma model: Conductivity and viscous properties of QCD matter in thermal medium
• Chiral phase transition in an extended linear sigma model: initial results
• Thermodynamic properties and phase diagram of quark matter within non-extensive Polyakov chiral SU (3) quark mean field model