Chiral magnetic effect in the PNJL model

Abstract

We study the two-flavor Nambu--Jona-Lasinio model with the Polyakov loop (PNJL model) in the presence of a strong magnetic field and a chiral chemical potential ${\mu }_5$ which mimics the effect of imbalanced chirality due to QCD instanton and/or sphaleron transitions. Firstly we focus on the properties of chiral symmetry breaking and deconfinement crossover under the strong magnetic field. Then we discuss the role of ${\mu }_5$ on the phase structure. Finally the chirality charge, electric current, and their susceptibility, which are relevant to the Chiral Magnetic Effect, are computed in the model.

Some reference added. Minor revisions. One figure added. To appear on Phys. Rev. D

References in corpus (36)

• The Chiral Magnetic Effect
• Estimate of the magnetic field strength in heavy-ion collisions
• The QCD transition temperature: results with physical masses in the continuum limit
• The QCD transition temperature: results with physical masses in the continuum limit II.
• Equation of state and QCD transition at finite temperature
• The Phase Structure of the Polyakov--Quark-Meson Model
• Azimuthal Charged-Particle Correlations and Possible Local Strong Parity Violation
• Chiral Magnetic conductivity
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• QCD at finite chemical potential with six time slices
• Numerical evidence of chiral magnetic effect in lattice gauge theory
• Can stochastic quantization evade the sign problem? -- the relativistic Bose gas at finite chemical potential
• Chiral transition in a strong magnetic background
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• Color-flavor locked superconductor in a magnetic field
• Quark-hadron phase transition in a magnetic field
• The chiral critical point of Nf=3 QCD at finite density to the order (mu/T)^4
• Color superconducting matter in a magnetic field
• The chiral condensate in a constant electromagnetic field
• Holographic Chiral Magnetic Conductivity
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• The strongly interacting Quark Gluon Plasma, and the critical behaviour of QCD at imaginary chemical potential
• Polyakov loop extended NJL model with imaginary chemical potential
• Phase of the Fermion Determinant at Nonzero Chemical Potential
• PNJL model with a Van der Monde term
• Model study of the sign problem in the mean-field approximation
• Phase diagram in the imaginary chemical potential region and extended Z3 symmetry
• Chiral Lagrangian at finite temperature from the Polyakov-Chiral Quark Model
• Anomalous conductivity in holographic QCD
• Random matrix analysis of the QCD sign problem for general topology
• Holographic Magnetic Phase Transition
• Chiral magnetic effect at low temperature
• On the neutrality issue in the Polyakov-loop NJL model
• Probing the QCD vacuum with an abelian chromomagnetic field: A study within an effective model
• Dimension 2 condensates and Polyakov Chiral Quark Models

Cited by in corpus (151)

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• Critical Endpoint and Inverse Magnetic Catalysis for Finite Temperature and Density Quark Matter in a Magnetic Background
• Effects of quark anomalous magnetic moment on the thermodynamical properties and mesonic excitations of magnetized hot and dense matter in PNJL model
• Finite-volume effects on phase transition in the Polyakov-loop extended Nambu-Jona-Lasinio model with a chiral chemical potential
• Thermal chiral and deconfining transitions in the presence of a magnetic background
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