Influence of the inverse magnetic catalysis and the vector interaction in the location of the critical end point

Abstract

The effect of a strong magnetic field on the location of the critical end point (CEP) in the QCD phase diagram is discussed under different scenarios. In particular, we consider the contribution of the vector interaction and take into account the inverse magnetic catalysis obtained in lattice QCD calculations at zero chemical potential. The discussion is realized within the (2+1) Polyakov--Nambu--Jona-Lasinio model. It is shown that the vector interaction and the magnetic field have opposite competing effects, and that the winning effect depends strongly on the intensity of the magnetic field. The inverse magnetic catalysis at zero chemical potential has two distinct effects for magnetic fields above $\gtrsim 0.3$ GeV${}^2$: it shifts the CEP to lower chemical potentials, hinders the increase of the CEP temperature and prevents a too large increase of the baryonic density at the CEP. For fields $eB<0.1$ GeV${}^2$ the competing effects between the vector contribution and the magnetic field can move the CEP to regions of temperature and density in the phase diagram that could be more easily accessible to experiments.

12 pages, 9 figures; PRD version

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• Finite temperature quark-gluon vertex with a magnetic field in the Hard Thermal Loop approximation
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• The QCD critical end point in the SU(3) Nambu--Jona-Lasinio model
• Strange quark chiral phase transition in hot 2+1-flavor magnetized quark matter
• Strange quark matter in the presence of explicit symmetry breaking interactions
• Impact of the vector interaction on the phase structure of QCD matter

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• Holographic estimate of heavy quark diffusion in a magnetic field
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• Thermodynamics and susceptibilities of isospin imbalanced QCD matter
• Multiple critical end points in magnetized three flavor quark matter
• Temperature and Strong Magnetic Field Effects in Dense Matter
• Exploring Dense and Cold QCD in Magnetic Fields
• Deformed QCD phase structure and entropy oscillation in the presence of a magnetic background
• The presence of a critical end point in the QCD phase diagram from the net-baryon number fluctuations
• SU(2) low energy quark effective couplings in weak external magnetic field
• Chiral crystallization in an external magnetic background - Chiral spiral versus Real kink crystal -
• The strange critical endpoint and isentropic trajectories in an Extended PNJL Model with Eight Quark Interactions
• Net baryon-number fluctuations in magnetized quark matter
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• Shear viscosity coefficient of magnetized QCD medium near chiral phase transition
• Landau levels of cold dense quark matter in a strong magnetic field
• Isentropic thermodynamics and scalar-mesons properties near the QCD critical end point
• The QCD phase diagram in the presence of an external magnetic field: the role of the inverse magnetic catalysis
• Hadronic matter at the edge: A survey of some theoretical approaches to the physics of the QCD phase diagram
• Chiral Symmetry Restoration and Deconfinement in the Contact Interaction Model of Quarks with a Parallel Electric and Magnetic Fields
• Finite-Size Effects on the Critical End Point of Magnetized Quark Matter in the Nonlocal PNJL Model
• Symmetry energy of baryon- and neutron-rich nuclear matter