Net baryon-number fluctuations in magnetized quark matter

Abstract

The kurtosis and skewness of net baryon-number fluctuations are studied for the magnetized phase diagram of three-flavor quark matter within the Polyakov extended Nambu$-$Jona-Lasinio model. Two models with magnetic catalysis and inverse magnetic catalysis are considered. Special attention is given to their behavior in the neighborhood of the light and strange critical end points (CEPs). Several isentropic trajectories that come close the CEPs are studied in order to analyze possible signatures of a CEP in the presence of external magnetic fields. The effect of the magnetic field on the velocity of sound, $v_s^2$, when both the light and strange CEPs are approached from the crossover region is also investigated by calculating their temperature and baryon chemical potential dependencies at fixed distances from these CEPs. Regions with large fluctuations but no CEP in nonmagnetized matter develop a CEP under the action of a strong magnetic field. Besides, the Landau quantization of the quark trajectories may result in the appearance of extra CEPs, in particular, in the strange sector for strong magnetic fields, identifiable by the net baryon-number fluctuations. Stiffer (smoother) fluctuations in the region of the CEP are characteristic of models that do not predict (do predict) the inverse magnetic catalysis at zero chemical potential. Particularly interesting is the ratio ${\chi }_B^4/{\chi }_B^2$ that has a more pronounced peak structure, indicating that it is eventually a more convenient probe for the search of a CEP. The speed of sound shows a much richer structure in magnetized quark matter and allows one to identify both chiral and deconfinement transitions.

11 pages, 7 figures; PRD version

References in corpus (19)

• The QCD transition temperature: results with physical masses in the continuum limit II.
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Search for the QCD Critical Point with Fluctuations of Conserved Quantities in Relativistic Heavy-Ion Collisions at RHIC : An Overview
• Challenges in QCD matter physics - The Compressed Baryonic Matter experiment at FAIR
• Scale for the Phase Diagram of Quantum Chromodynamics
• Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model
• 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
• Inverse magnetic catalysis in the linear sigma model with quarks
• The Hot QCD White Paper: Exploring the Phases of QCD at RHIC and the LHC
• Magnetic catalysis and inverse magnetic catalysis in nonlocal chiral quark models
• Repulsive Vector Interaction in Three Flavor Magnetized Quark and Stellar Matter
• Fluctuations and Correlations of Conserved Charges near the QCD Critical Point
• Strange quark chiral phase transition in hot 2+1-flavor magnetized quark matter
• Strange quark matter in the presence of explicit symmetry breaking interactions
• Multiple critical end points in magnetized three flavor quark matter
• Magnetic-Field Induced Critical Endpoint
• Susceptibilities of Conserved Charges within a Modified Nambu-Jona-Lasinio Model
• Baryon number fluctuations and QCD phase structure

Cited by in corpus (7)

• Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model
• QCD phase diagram in a magnetized medium from the chiral symmetry perspective: The linear sigma model with quarks and the Nambu--Jona-Lasinio model effective descriptions
• Fluctuations and correlations of net baryon number, electric charge and strangeness in a background magnetic field
• Baryon electric charge correlation as a magnetometer of QCD
• Isentropic evolution of the matter in heavy-ion collisions and the search for the critical endpoint
• Phase diagram for strongly interacting matter in the presence of a magnetic field using the Polyakov-Nambu-Jona-Lasinio model with magnetic field dependent coupling strengths
• QCD chiral condensate and pseudoscalar-meson properties in the nuclear medium at finite temperature