Including the Fermion Vacuum Fluctuations in the $(2+1)$ flavor Polyakov Quark Meson Model

Abstract

We consider the $(2+1)$ flavor Polyakov Quark Meson Model and study the effect of including fermion vacuum fluctuations on the thermodynamics and phase diagram. The resulting model predictions are compared to the recent QCD lattice simulations by the HotQCD and Wuppertal-Budapest collaborations. The variation of the thermodynamic quantities across the phase transition region becomes smoother. This results in better agreement with the lattice data. Depending on the value of the mass of the sigma meson, including the vacuum term results in either pushing the critical end point into higher values of the chemical potential or excluding the possibility of a critical end point altogether.

15 figures, some parts rewritten, new figures added

References in corpus (15)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The chiral and deconfinement aspects of the QCD transition
• The QCD equation of state with dynamical quarks
• The QCD Equation of State with almost Physical Quark Masses
• Equation of state and QCD transition at finite temperature
• The Phase Structure of the Polyakov--Quark-Meson Model
• Fluctuations of conserved charges at finite temperature from lattice QCD
• The transition temperature in QCD
• The phase structure of the Polyakov--quark-meson model beyond mean field
• Susceptibilities and speed of sound from PNJL model
• Chiral phase boundary of QCD at finite temperature
• PNJL model with a Van der Monde term
• Fluctuations and Correlations of Conserved Charges in the $(2+1)$ Polyakov Quark Meson Model
• Correlations and fluctuations from lattice QCD
• N_f=2+1 flavour equation of state

Cited by in corpus (30)

• Existence of the critical endpoint in the vector meson extended linear sigma model
• Fluctuations and the axial anomaly with three quark flavors
• Inhomogeneous phases in the quark-meson model with vacuum fluctuations
• Quark Number Fluctuations at Finite Temperature and Finite Chemical Potential via the Dyson-Schwinger Equation Approach
• Thermodynamics of (2+1)-flavor strongly interacting matter at nonzero isospin
• Chiral Transition Within Effective Quark Models Under Magnetic Fields
• Shear and Bulk Viscosities of Quark Matter from Quark-Meson Fluctuations in the Nambu--Jona-Lasinio model
• Phase diagram and nucleation in the Polyakov-loop-extended Quark-Meson truncation of QCD with the unquenched Polyakov-loop potential
• Fluctuations and Correlations of Conserved Charges in the $(2+1)$ Polyakov Quark Meson Model
• Consistent parameter fixing in the quark-meson model with vacuum fluctuations
• Fluctuations and phases in baryonic matter
• Comparing symmetry restoration trends for meson masses and mixing angles in the QCD-like three quark flavor models
• SU(3) Polyakov Linear-Sigma Model With Finite Isospin Asymmetry: QCD Phase Diagram
• Phase transition of strongly interacting matter with a chemical potential dependent Polyakov loop potential
• Analysis of pseudoscalar and scalar $D$ mesons and charmonium decay width in hot magnetized asymmetric nuclear matter
• Implications of the fermion vacuum term in the extended SU(3) Quark Meson model on compact stars properties
• One-loop constituent quark contributions to the vector and axial-vector meson curvature mass
• Exploring axial $U(1)$ restoration in a modified 2+1 flavor Polyakov quark meson model
• Exploring criticality in the QCD-like two quark flavour models
• Effects of Renormalizing the chiral SU(2) Quark-Meson-Model
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Effects of finite volume and magnetic fields on thermodynamic properties of quark matter and fluctuations of conserved charges
• Charmonia and Bottomonia in asymmetric magnetized hot nuclear matter
• Heavy vector and axial-vector $D$ mesons in hot magnetized asymmetric nuclear matter
• Ordinary and exotic mesons in the extended Linear Sigma Model
• On-shell versus curvature mass parameter fixing schemes in the quark-meson model and its phase diagrams
• $\eta$ mesons in hot and dense asymmetric nuclear matter
• Exploring the hadron resonance gas phase on the QCD phase diagram
• Bubble dynamics in the Polyakov quark-meson model
• Effects of (axial)vector mesons on the chiral phase transition: initial results