Influence of the vector interaction and an external magnetic field on the isentropes near the chiral critical end point

Abstract

The location of the critical end point (CEP) and the isentropic trajectories in the QCD phase diagram are investigated. We use the (2+1) Nambu$-$Jona-Lasinio model with the Polyakov loop coupling for different scenarios, namely by imposing zero strange quark density, which is the case in the ultra relativistic heavy-ion collisions, and $\beta$-equilibrium. The influence of strong magnetic fields and of the vector interaction on the isentropic trajectories around the CEP is discussed. It is shown that the vector interaction and the magnetic field, having opposite effects on the first-order transition, affect the isentropic trajectories differently: as the vector interaction increases, the first-order transition becomes weaker and the isentropes become smoother; when a strong magnetic field is considered, the first-order transition is strengthened and the isentropes are pushed to higher temperatures. No focusing of isentropes in region towards the CEP is seen.

arXiv comment10 pages, 5 figures; PRD version

References in corpus (42)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• QCD Phenomenology based on a Chiral Effective Lagrangian
• NJL-model analysis of dense quark matter
• Full result for the QCD equation of state with 2+1 flavors
• Chiral effective model with the Polyakov loop
• Phases of QCD: lattice thermodynamics and a field theoretical model
• The QCD transition temperature: results with physical masses in the continuum limit II.
• Polyakov loop, diquarks and the two-flavour phase diagram
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• Heavy Quark Anti-Quark Free Energy and the Renormalized Polyakov Loop
• Hadronization in the SU(3) Nambu-Jona-Lasinio Model
• Beam energy dependence of moments of the net-charge multiplicity distributions in Au+Au collisions at RHIC
• QCD equation of state at nonzero chemical potential: continuum results with physical quark masses at order mu^2
• Identified particle production, azimuthal anisotropy, and interferometry measurements in Au+Au collisions at $\sqrt{s_{NN}}$ = 9.2 GeV
• Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model
• The QCD phase diagram at nonzero quark density
• Inverse magnetic catalysis in the (2+1)-flavor Nambu--Jona-Lasinio and Polyakov--Nambu--Jona-Lasinio models
• Phase structure of three and four flavor QCD
• Quark matter under strong magnetic fields in the su(3) Nambu-Jona-Lasinio Model
• Hydrodynamical evolution near the QCD critical end point
• Deconfinement and chiral restoration within the SU(3) Polyakov--Nambu--Jona-Lasinio and entangled Polyakov--Nambu--Jona-Lasinio models in an external magnetic field
• A Family of Equations of State Based on Lattice QCD: Impact on Flow in Ultrarelativistic Heavy-Ion Collisions
• Observation of the critical end point in the phase diagram for hot and dense nuclear matter
• Evidence for Spinodal Decomposition in Nuclear Multifragmentation
• Phase diagram and critical properties within an effective model of QCD: the Nambu-Jona-Lasinio model coupled to the Polyakov loop
• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
• The QCD Critical End Point Under Strong Magnetic Fields
• The Hot QCD White Paper: Exploring the Phases of QCD at RHIC and the LHC
• The isentropic equation of state of 2-flavor QCD
• The QCD critical end point in the PNJL model
• Fluctuations and isentropes near the chiral critical endpoint
• Isentropic thermodynamics in the PNJL model
• Repulsive Vector Interaction in Three Flavor Magnetized Quark and Stellar Matter
• Phase transition and critical end point driven by an external magnetic field in asymmetric quark matter
• Quark-Gluon Matter
• Influence of the inverse magnetic catalysis and the vector interaction in the location of the critical end point
• Transverse Velocity Dependence of the Proton-Antiproton Ratio as a Signature of the QCD Critical Endpoint
• The phase diagram for the Nambu--Jona-Lasinio model with 't Hooft and eight-quark interactions
• QCD thermodynamics with nonzero chemical potential at $N_t=6$ and effects from heavy quarks
• NA49/NA61: results and plans on beam energy and system size scan at the CERN SPS
• Functional Renormalization Group Study of Phonon Mode Effects on Chiral Critical Point
• Possible links between the liquid-gas and deconfinement-hadronization phase transitions

Cited by in corpus (7)

• Multiple critical end points in magnetized three flavor quark matter
• Functional renormalization group study of the critical region of the quark-meson model with vector interactions
• The strange critical endpoint and isentropic trajectories in an Extended PNJL Model with Eight Quark Interactions
• Spontaneous magnetization under a pseudovector interaction between quarks in high density quark matter
• 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
• Role of the conserved charges in the chiral symmetry restoration phase transition
• Isentropic thermodynamics across the hadron-quark mixed phase in a two-phase model with a PNJL quark description