Chiral MHD description of a perfect magnetized QGP using the effective NJL model in a strong magnetic field

Abstract

To study the effect of a strong magnetic field $B$ on the sound velocity $v_s$ of plane waves propagating in a strongly magnetized quark-gluon plasma (QGP), a chiral magnetohydrodynamical (MHD) description of a perfect (non-dissipative) QGP exhibiting dynamical chiral symmetry breaking (D$\chi$SB) is developed using the effective action of the Nambu-Jona-Lasinio (NJL) model of QCD at finite temperature, finite baryon chemical potential and in the presence of a strong magnetic field. Here, the D$\chi$SB arises due to the phenomenon of magnetic catalysis. Apart from an interesting frequency dependence, for plane waves propagating in the transverse or longitudinal direction with respect to the $B$ field, the sound velocity is anisotropic and depends on the angle between the corresponding wave vectors and the direction of the $B$ field. Moreover, for plane waves propagating in the transverse (longitudinal) direction to the external $B$ field, the sound velocity has a maximum (minimum) at $T<T_c$, reaches a local minimum (maximum) at $T\sim T_c$ and remains constant at $T\gtrsim T_c$. Here, $T_c$ is the critical temperature of the chiral phase transition. Thus, the constant value $v_s\sim 1.5c_s$ at $T\gtrsim T_c$ turns out to be a lower (upper) bound for waves propagating in the transverse (longitudinal) direction with respect to the external $B$ field. Here, $c_s=1/\sqrt{3}$ is the sound velocity in an ideal gas.

arXiv comment40 pages, 9 figures

References in corpus (53)

• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Flow at the SPS and RHIC as a Quark Gluon Plasma Signature
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Equation of state and QCD transition at finite temperature
• Nearly Perfect Fluidity: From Cold Atomic Gases to Hot Quark Gluon Plasmas
• Parity violation in hot QCD: how to detect it
• Universal properties of bulk viscosity near the QCD phase transition
• Holographic model of superfluidity
• Hydrodynamics near the QCD Phase Transition: Looking for the Longest-Lived Fireball
• Dynamical Flavor Symmetry Breaking by a Magnetic Field in $2+1$ Dimensions
• Chiral transition in a strong magnetic background
• Entropy production in collisions of gravitational shock waves and of heavy ions
• Color-flavor locked superconductor in a magnetic field
• The phase diagram and bulk thermodynamical quantities in the NJL model at finite temperature and density
• Primordial magnetic fields, anomalous isocurvature fluctuations and Big Bang nucleosynthesis
• On the collision of two shock waves in AdS5
• Quark-hadron phase transition in a magnetic field
• A Gravity Dual of RHIC Collisions
• A bound on the speed of sound from holography
• Grazing Collisions of Gravitational Shock Waves and Entropy Production in Heavy Ion Collision
• Sudden Hadronization in Relativistic Nuclear Collisions
• The RHIC fireball as a dual black hole
• Hydrodynamics Near a Chiral Critical Point
• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
• Off-center collisions in AdS_5 with applications to multiplicity estimates in heavy-ion collisions
• Phase transition induced by a magnetic field
• Neutrino Propagation in a Strongly Magnetized Medium
• Complete High Temperature Expansions for One-Loop Finite Temperature Effects
• Explosive Decomposition in Ultrarelativistic Heavy Ion Collision
• Holography and the speed of sound at high temperatures
• Dynamics in the quantum Hall effect and the phase diagram of graphene
• Hydrodynamics and Flow
• Can a strong magnetic background modify the nature of the chiral transition in QCD?
• Instabilities in non-expanding glasma
• Variational Principle for Relativistic Fluid Dynamics
• Thermal Conductivity in 3D NJL Model Under External Magnetic Field
• Hidden Non-Abelian Gauge Symmetries in Doped Planar Antiferromagnets
• Chiral phase transition in relativistic heavy-ion collisions with weak magnetic fields: ring diagrams in the linear sigma model
• Magnetic Field Induced Gap and Kink Behavior of Thermal Conductivity
• Dynamical Flavour Symmetry Breaking by a Magnetic Field in Lattice QED_3
• Effective potential at finite temperature in a constant hypermagnetic field: Ring diagrams in the Standard Model
• Thermodynamic Gross-Neveu model under constant electromagnetic field
• The Fate of the Sound and Diffusion in Holographic Magnetic Field
• Global polarization and parity violation study in Au+Au collisions
• Hydrodynamic Flow from Fast Particles
• Thermodynamic properties and bulk viscosity near phase transition in the Z(2) and O(4) models
• Improved ring potential of QED at finite temperature and in the presence of weak and strong magnetic field
• On high energy scattering inside gravitational backgrounds
• Relativistic Conformal Magneto-Hydrodynamics from Holography
• Probing the QCD vacuum with an abelian chromomagnetic field: A study within an effective model
• Hot and dense matter: from RHIC to LHC: Theoretical overview
• Variational Approach to Hydrodynamics - from QGP to General Relativity

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• Color neutral 2SC phase of cold and dense quark matter in the presence of constant magnetic fields