Thermo-magnetic nonlocal NJL model in the real and imaginary time formalisms

Abstract

In this article we study a nonlocal Nambu--Jona-Lasinio (nNJL) model with a Gaussian regulator in presence of a uniform magnetic field. We take a mixed approach to the incorporation of temperature in the model, and consider aspects of both real and imaginary time formalisms. We include confinement in the model through the quasiparticle interpretation of the poles of the propagator. The effect of the magnetic field in the deconfinement phase transition is then studied. It is found that, like with chiral symmetry restoration, magnetic catalysis occurs for the deconfinement phase transition. It is also found that the magnetic field enhances the thermodynamical instability of the system. We work in the weak field limit, i.e. $(eB)<5m_{\pi }^2$. At this level there is no splitting of the critical temperatures for chiral and deconfinement phase transitions.

arXiv commentSome changes as well as new references have been added. Accepted for publication in International Journal of Modern Physics A

References in corpus (42)

• The QCD phase diagram for external magnetic fields
• QCD quark condensate in external magnetic fields
• Phase diagram of hot QCD in an external magnetic field: possible splitting of deconfinement and chiral transitions
• The QCD equation of state in background magnetic fields
• Chiral transition in a strong magnetic background
• Chiral Properties of Strong Interactions in a Magnetic Background
• Quark-hadron phase transition in a magnetic field
• A nonlocal, covariant generalisation of the NJL model
• Inverse magnetic catalysis for the chiral transition induced by thermo-magnetic effects on the coupling constant
• Deconfinement phase transition and the quark condensate
• Inverse magnetic catalysis in the linear sigma model with quarks
• Meson properties in an extended nonlocal NJL model
• Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)
• The influence of strong magnetic fields and instantons on the phase structure of the two-flavor NJL model
• Dual quark condensate and dressed Polyakov loops
• Chiral and deconfinement transition from Dyson-Schwinger equations
• The weak-field expansion for processes in a homogeneous background magnetic field
• Nonlocal PNJL model beyond mean field and the QCD phase transition
• Entanglement between chiral and deconfinement transitions under strong uniform magnetic background field
• The Chiral Magnetic Effect and chiral symmetry breaking in SU(3) quenched lattice gauge theory
• The magnetized effective QCD phase diagram
• Chiral transition in a magnetic field and at finite baryon density
• Inverse magnetic catalysis from the properties of the QCD coupling in a magnetic field
• Nonlocal chiral quark models with wavefunction renormalization: sigma properties and π-πscattering parameters
• Chiral quark models with non-local separable interactions at finite temperature and chemical potential
• Meson properties at finite temperature in a three flavor nonlocal chiral quark model with Polyakov loop
• Finite temperature quark-gluon vertex with a magnetic field in the Hard Thermal Loop approximation
• Chiral phase transition in a covariant nonlocal NJL model
• The Linear Sigma Model and the formation of a charged pion condensate in the presence of an external magnetic field
• Dual quark condensate in the Polyakov-loop extended Nambu--Jona-Lasinio model
• Medium induced Lorentz symmetry breaking effects in nonlocal PNJL models
• Chiral condensate and dressed Polyakov loop in the Nambu--Jona-Lasinio model
• Thermodynamic instabilities in dynamical quark models with complex conjugate mass poles
• The pion distribution amplitude and the pion-photon transition form factor in a nonlocal chiral quark model
• The nNJL model with a fractional Lorentzian regulator in the real time formalism
• Thermal nonlocal Nambu--Jona-Lasinio model in the real time formalism
• Unstable quasiparticles as a source of thermodynamic instabilities in the thermal nonlocal Nambu-Jona-Lasinio model
• Mass dependence of the deconfinement and chiral restoration critical temperatures in nonlocal SU(2) PNJL models
• Magnetic field driven instability in planar NJL model in real-time formalism
• Magnetic susceptibility of the QCD vacuum in a nonlocal SU(3) PNJL model
• Weak magnetic field effects on chiral critical temperature in a nonlocal Nambu--Jona-Lasinio model
• Nonlocal quark model beyond mean field and QCD phase transition

Cited by in corpus (1)

• Critical end point in a thermo-magnetic nonlocal NJL model