The renormalization group and quark number fluctuations in the Polyakov loop extended quark-meson model at finite baryon density

Abstract

Thermodynamics and the phase structure of the Polyakov loop-extended two flavors chiral quark--meson (PQM) model is explored beyond the mean-field approximation. The analysis of the PQM model is based on the functional renormalization group (FRG) method. We formulate and solve the renormalization group flow equation for the scale-dependent thermodynamic potential in the presence of the gluonic background field at finite temperature and density. We determine the phase diagram of the PQM model in the FRG approach and discuss its modification in comparison with the one obtained under the mean-field approximation. We focus on properties of the net-quark number density fluctuations as well as their higher moments and discuss the influence of non-perturbative effects on their properties near the chiral crossover transition. We show, that with an increasing net-quark number density the higher order moments exhibit a peculiar structure near the phase transition. We also consider ratios of different moments of the net-quark number density and discuss their role as probes of deconfinement and chiral phase transitions.

References in corpus (18)

• The QCD Equation of State with almost Physical Quark Masses
• The Phase Structure of the Polyakov--Quark-Meson Model
• Probing freeze-out conditions in heavy ion collisions with moments of charge fluctuations
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• The phase structure of the Polyakov--quark-meson model beyond mean field
• Susceptibilities near the QCD (tri)critical point
• The chiral and deconfinement crossover transitions: PNJL model beyond mean field
• Droplets in the cold and dense linear sigma model with quarks
• Quark number susceptibilities: lattice QCD versus PNJL model
• Quark Number Fluctuations in a Chiral Model at Finite Baryon Chemical Potential
• Density fluctuations in the presence of spinodal instabilities
• Chiral phase transition in the presence of spinodal decomposition
• Kurtosis and compressibility near the chiral phase transition
• Effective models of two-flavor QCD: finite $\mu$ and $m_q$-dependence
• Nonperturbative Yukawa theory at finite density and temperature
• Perturbative Yukawa theory at finite density: the role of masses and renormalization group flow at two loops
• Baryon number, strangeness and electric charge fluctuations at zero and non-zero chemical potential
• Ratios of Fluctuation Observables in the Search for the QCD Critical Point

Cited by in corpus (2)

• The Critical End Point of Quantum Chromodynamics Detected by Chirally Imbalanced Quark Matter
• The influence of fluctuations on thermodynamics near chiral phase transition