The critical surface of the SU(3)_L x SU(3)_R chiral quark model at non-zero baryon density

Abstract

The boundary of the first order chiral phase transition region is studied in the m_pi-m_K-mu_B space using the one-loop optimized perturbation theory for the resummation of the perturbative series. Chiral perturbation theory for mesons and baryons is used for the T=0 parametrization of the model. The surface of second order transition points bends with increasing mu_B towards the physical point of the m_pi-m_K mass plane allowing for the existence of the critical end point in the mu_B-T plane at the physical point. The location and scaling region of the CEP is explored.

RevTeX4, 10 pages, 4 figures

References in corpus (4)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The QCD transition temperature: results with physical masses in the continuum limit
• Baryon masses, chiral extrapolations, and all that
• Resummed one-loop determination of the phase boundary of the SU(3)_R x SU(3)_L linear sigma model in the m_pi-m_K-plane

Cited by in corpus (17)

• Influence of the isospin and hypercharge chemical potentials on the location of the CEP in the mu_B-T phase diagram of the SU(3)_L x SU(3)_R chiral quark model
• 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
• QCD phase transitions in the light quark chiral limit
• 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
• Neutron star properties with careful parameterization in the (axial)vector meson extended linear sigma model
• Fluctuation induced first order phase transition in U(n)xU(n) models using chiral invariant expansion of functional renormalization group flows
• Anomalous $U(1{)}_A$ couplings and the Columbia plot
• A linear sigma model for multiflavor gauge theories
• Influence of finite volume effect on the Polyakov Quark-Meson model
• Strange mass dependence of the tricritical point in the U(3)_L x U(3)_R chiral sigma model
• Thermodynamics and higher order moments in SU(3) linear $\sigma$-model with gluonic quasi-particles
• A new perspective for the magnetic corrections to $\pi$-$\pi$ Scattering Lengths in the Linear Sigma Model
• On-shell versus curvature mass parameter fixing schemes in the quark-meson model and its phase diagrams
• Estimating the variation of neutron star observables by symmetric dense nuclear matter properties
• Finite-size effects and scaling properties of chiral and baryon-number fluctuations