Correlations and fluctuations in a magnetized three-flavor PNJL model with and without inverse magnetic catalysis effect

Abstract

The correlations ${\chi }_{11}^{BQ},{\chi }_{11}^{BS},{\chi }_{11}^{QS}$ and quadratic (quartic) fluctuations ${\chi }_{2,4}^{B,Q,S}$ of baryon number $B$, electric charge $Q$ and strangeness $S$ are investigated in a three-flavor PNJL model at finite temperature and magnetic field. The inverse magnetic catalysis (IMC) effect is introduced through the magnetic field dependent parameters $G(eB)$ or $T_0(eB)$, and we make comparison of the results in the cases with and without IMC effect. Since including IMC effect does not change the strength of phase transition under external magnetic field, it does not lead to qualitative difference in the correlations and fluctuations, but modifies their values. Under vanishing and nonvanishing magnetic field, the correlations and fluctuations increase with temperature, and then show the peak around the pseudocritical temperatures of chiral restoration and deconfinement phase transitions. The peak structure in ${\chi }_{11}^{BQ}$, ${\chi }_4^B$ and ${\chi }_4^Q$ are much more apparent than in others. The correlations and fluctuations along the phase transition line under external magnetic field are characterized by the scaled correlations ${\hat{\chi }}_{11}^{XY}=\frac{{\chi }_{11}^{XY}(eB,T_{pc}^c(eB))}{{\chi }_{11}^{XY}(eB=0,T_{pc}^c(eB=0))}$ and scaled quadratic (quartic) fluctuations ${\hat{\chi }}_{2,4}^X=\frac{{\chi }_{2,4}^X(eB,T_{pc}^c(eB))}{{\chi }_{2,4}^X(eB=0,T_{pc}^c(eB=0))}$, with $X,Y=B,Q,S$ and $X\ne Y$ at the pseudocritical temperature $T_{pc}^c$ of chiral restoration phase transition. They increase with magnetic fields due to the increase of phase transition strength under magnetic fields. Among them, ${\hat{\chi }}_{11}^{BQ}$ increases fastest, which may serve as the magnetometer of QCD.

11 pages, 7 figures

References in corpus (28)

• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• The QCD equation of state in background magnetic fields
• Susceptibilities and speed of sound from PNJL model
• Inverse magnetic catalysis in dense holographic matter
• The Importance of Asymptotic Freedom for the Pseudocritical Temperature in Magnetized Quark Matter
• Inverse magnetic catalysis in the (2+1)-flavor Nambu--Jona-Lasinio and Polyakov--Nambu--Jona-Lasinio models
• Chiral transition in a strong magnetic background
• Quark Antiscreening at Strong Magnetic Field and Inverse Magnetic Catalysis
• Inverse magnetic catalysis for the chiral transition induced by thermo-magnetic effects on the coupling constant
• External Fields and Chiral Symmetry Breaking in the Sakai-Sugimoto Model
• QCD at finite temperature and density within the fRG approach: An overview
• Can a strong magnetic background modify the nature of the chiral transition in QCD?
• Search for the QCD Critical Point in High Energy Nuclear Collisions
• Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model
• Chiral transition with magnetic fields
• Fluctuations and correlations of net baryon number, electric charge and strangeness in a background magnetic field
• Chiral condensates and screening masses of neutral pseudoscalar mesons in thermomagnetic QCD medium
• Deconfinement and chiral phase transitions in quark matter with a strong electric field
• Baryon electric charge correlation as a magnetometer of QCD
• Chiral Symmetry Restoration and Quark Deconfinement beyond Mean Field in a Magnetized PNJL Model
• Mass spectra of neutral mesons $K_0,{\pi }_0,\eta ,{\eta }^{\prime }$ at finite magnetic field, temperature and baryon chemical potential
• Quark anomalous magnetic moment leads to the inverse magnetic catalysis phenomena of chiral restoration and deconfinement phase transitions in ${\mu }_B-T$ plane
• Effects of finite volume and magnetic fields on thermodynamic properties of quark matter and fluctuations of conserved charges
• Magnetic catalysis and diamagnetism from pion fluctuations
• Deciphering the phases of QCD matter with fluctuations and correlations of conserved charges
• Pion superfluid phase transition under external magnetic field including inverse magnetic catalysis effect
• Quark matter under strong electric fields in the Linear Sigma Model coupled with quarks
• Correlations and fluctuations in a magnetized PNJL model with and without inverse magnetic catalysis effect