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

Abstract

We study the phase diagram for strongly interacting matter using the 't Hooft determinant extended Nambu--Jona-Lasinio model with a Polyakov loop in the light and strange quark sectors (\emph{up}, \emph{down} and \emph{strange}) focusing on the effect of a magnetic field dependence of the coupling strengths of these interactions. This dependence was obtained so as to reproduce recent lattice QCD results for the magnetic field dependence of the quarks dynamical masses. A finite magnetic field is known to induce several additional first-order phase transition lines with the respective Critical End Points (CEP) in the temperature-quark chemical potential phase diagram when compared to the zero magnetic field case. A study of the magnetic field dependence in the range $eB=0-0.6{\mathrm{GeV}}^2$ of the location of these CEPs reveals that the initial one as well as several of the new ones only survive up to a critical magnetic field. Only two remain in the upper limit of the studied magnetic field strength. A comparison of the results obtained with versions of the model with and without Polyakov loop is also done. We also found that the inclusion of the magnetic field dependence on the coupling strengths, while not changing the qualitative features of the phase diagram, affects the location of these CEPs. The comparison of results with and without a regularization cutoff in the medium part of the integrals does not show a significant change.

arXiv comment10 pages, 6 figures, EPJA Topical Issue on The QCD Phase Diagram in Strong Magnetic Fields

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
• The equation of state in (2+1)-flavor QCD
• Estimate of the magnetic field strength in heavy-ion collisions
• 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
• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• Decoding the phase structure of QCD via particle production at high energy
• The QCD phase diagram for external magnetic fields
• The QCD transition temperature: results with physical masses in the continuum limit II.
• Bulk Properties of the Medium Produced in Relativistic Heavy-Ion Collisions from the Beam Energy Scan Program
• QCD quark condensate in external magnetic fields
• Polyakov loop, diquarks and the two-flavour phase diagram
• Heavy Quark Anti-Quark Free Energy and the Renormalized Polyakov Loop
• Inverse magnetic catalysis and the Polyakov loop
• Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model
• Polyakov loop in chiral quark models at finite temperature
• Confronting LHC data with the statistical hadronization model
• Inverse magnetic catalysis in the (2+1)-flavor Nambu--Jona-Lasinio and Polyakov--Nambu--Jona-Lasinio models
• Quark matter under strong magnetic fields in the su(3) Nambu-Jona-Lasinio Model
• Magnetic Oscillations in Dense Cold Quark Matter with Four-Fermion Interactions
• Thermodynamics of the PNJL model
• Dense Quarks, and the Fermion Sign Problem, in a SU(N) Matrix Model
• Thermo-magnetic effects in quark matter: Nambu--Jona-Lasinio model constrained by lattice QCD
• Multi-quark interactions with a globally stable vacuum
• Effects of eight-quark interactions on the hadronic vacuum and mass spectra of light mesons
• Magnetized baryons and the QCD phase diagram: NJL model meets the lattice
• Phase transition and critical end point driven by an external magnetic field in asymmetric quark matter
• The thermal heat kernel expansion and the one-loop effective action of QCD at finite temperature
• Influence of the inverse magnetic catalysis and the vector interaction in the location of the critical end point
• The influence of a repulsive vector coupling in magnetized quark matter
• Regularizing thermo and magnetic contributions within nonrenormalizable theories
• Effective multi-quark interactions with explicit breaking of chiral symmetry
• Thermodynamic potential with correct asymptotics for PNJL model
• Light Quark Masses in Multi-Quark Interactions
• Strange quark matter in the presence of explicit symmetry breaking interactions
• Multiple critical end points in magnetized three flavor quark matter
• Magnetic field dependent 't Hooft determinant extended Nambu--Jona-Lasinio Model
• The strange critical endpoint and isentropic trajectories in an Extended PNJL Model with Eight Quark Interactions
• Net baryon-number fluctuations in magnetized quark matter
• Influence of the vector interaction and an external magnetic field on the isentropes near the chiral critical end point

Cited by in corpus (4)

• Phase diagram of QCD in a magnetic background
• 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
• Effects of the quark anomalous magnetic moment in the chiral symmetry restoration: magnetic catalysis and inverse magnetic catalysis
• Nambu--Jona-Lasinio $SU(3)$ model constrained by lattice QCD: thermomagnetic effects in the magnetization