Fluctuations and correlations of hot QCD matter in an external magnetic field

Abstract

Effects of an external magnetic field on the fluctuations of quark number, fluctuations and correlations of conserved charges, including baryon number, electric charge and strangeness, are studied in the 2+1 flavor Polyakov--Nambu--Jona-Lasinio model. We find that magnetic field increases fluctuations and correlations in the regime of chiral crossover. It makes the transition of quadratic fluctuations more abrupt, and the peak structure of quartic fluctuations more pronounced. Our calculations indicate that ${\chi }_4^B/{\chi }_2^B$, ${\chi }_4^Q/{\chi }_2^Q$, and ${\chi }_{11}^{BQ}$ are very sensitive to the external magnetic field and maybe can be used for probes for the strong magnetic field produced in the early stage of noncentral collisions.

20 pages, 10 figures, version accepted for publication in Phys. Rev. D

References in corpus (7)

• The Chiral Magnetic Effect
• Chiral Magnetic conductivity
• QCD Phase Transition in a Strong Magnetic Background
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• K/pi Fluctuations at Relativistic Energies
• Kurtosis and compressibility near the chiral phase transition
• Fluctuations and Correlations of Conserved Charges near the QCD Critical Point

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• Deconfinement, chiral symmetry restoration and thermodynamics of (2+1)--flavor hot QCD matter in an external magnetic field
• Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model
• Influence of the inverse magnetic catalysis and the vector interaction in the location of the critical end point
• Exploring effects of magnetic field on the Hadron Resonance Gas
• Fluctuations and correlations of net baryon number, electric charge and strangeness in a background magnetic field
• Influence of finite volume and magnetic field effects on the QCD phase diagram
• Strange quark chiral phase transition in hot 2+1-flavor magnetized quark matter
• Baryon electric charge correlation as a magnetometer of QCD
• Exploring Dense and Cold QCD in Magnetic Fields
• Four-fermion interactions and the chiral symmetry breaking in an external magnetic field
• Effects of finite volume and magnetic fields on thermodynamic properties of quark matter and fluctuations of conserved charges
• Deformed QCD phase structure and entropy oscillation in the presence of a magnetic background
• Influence of finite volume effect on the Polyakov Quark-Meson model
• Net baryon-number fluctuations in magnetized quark matter
• Correlations and fluctuations in a magnetized PNJL model with and without inverse magnetic catalysis effect
• Correlations and fluctuations in a magnetized three-flavor PNJL model with and without inverse magnetic catalysis effect