Thermomagnetic properties and Bjorken expansion of hot QCD matter in a strong magnetic field
arXiv:1806.03008 · doi:10.1140/epja/i2019-12907-y
Abstract
In this work we have studied the effects of an external strong magnetic field on the thermodynamic and magnetic properties of a hot QCD matter and then explored these effects on the subsequent hydrodynamic expansion of the said matter once produced in the ultrarelativistic heavy ion collisions. For that purpose, we have computed the quark and gluon self-energies up to one loop in the strong magnetic field, using the HTL approximation with two hard scales - temperature and magnetic field, which in turn compute the effective propagators for quarks and gluons, respectively. Hence the quark and gluon contributions to the free energy are obtained from the respective propagators and finally derive the equation of state (EOS) by calculating the pressure and energy density. We have found that the speed of sound is enhanced due to the presence of strong magnetic field and this effect will be later exploited in the hydrodynamics. Thereafter the magnetic properties are studied from the free energy of the matter, where the magnetization is found to increase linearly with the magnetic field, thus hints the paramagnetic behavior. The temperature dependence of the magnetization is also studied, where the magnetization is found to increase slowly with the temperature. Finally, to see how a strong magnetic field could affect the hydrodynamic evolution, we have revisited the Bjorken boost-invariant picture with our paramagnetic EOS as an input in the equation of motion for the energy-momentum conservation. We have noticed that the energy density evolves faster than in the absence of strong magnetic field, i.e. cooling becomes faster, which could have implications on the heavy-ion phenomenology. As mentioned earlier, this observation can be understood by the enhancement of the speed of sound.
arXiv comment37 pages with 5 figures
References in corpus (63)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- The Chiral Magnetic Effect
- The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
- Transport coefficients in high temperature gauge theories: (I) Leading-log results
- Magnetohydrodynamics, charged currents and directed flow in heavy ion collisions
- Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
- Second Order Dissipative Fluid Dynamics for Ultra-Relativistic Nuclear Collisions
- Dissipative Hydrodynamics and Heavy Ion Collisions
- The QCD equation of state in background magnetic fields
- Relativistic hydrodynamics for heavy-ion collisions
- Quark matter under strong magnetic fields in the su(3) Nambu-Jona-Lasinio Model
- Conformal anomaly as a source of soft photons in heavy ion collisions
- Thermal Photons and Collective Flow at the Relativistic Heavy-Ion Collider
- Thermal photons as a quark-gluon plasma thermometer revisited
- HTL Perturbation Theory to Two Loops
- Quark Antiscreening at Strong Magnetic Field and Inverse Magnetic Catalysis
- A condensed matter realization of the axial magnetic effect
- Bulk Properties of a Fermi Gas in a Magnetic Field
- QCD equation of state at nonzero magnetic fields in the Hadron Resonance Gas model
- Heavy Quark Diffusion in Strong Magnetic Fields at Weak Coupling and Implications for Elliptic Flow
- Magnetic catalysis in hot and dense quark matter and quantum fluctuations
- Bjorken flow in one-dimensional relativistic magnetohydrodynamics with magnetization
- Vacuum birefringence in strong magnetic fields: (I) Photon polarization tensor with all the Landau levels
- Electromagnetic radiation by quark-gluon plasma in magnetic field
- Photon decay in strong magnetic field in heavy-ion collisions
- Response of Holographic QCD to Electric and Magnetic Fields
- QCD vacuum structure in strong magnetic fields
- Electromagnetic spectral properties and Debye screening of a strongly magnetized hot medium
- Paramagnetic squeezing of QCD matter
- Magnetic susceptibility and equation of state of N_f = 2+1 QCD with physical quark masses
- Thermo-magnetic evolution of the QCD strong coupling
- Heavy quark complex potential in a strongly magnetized hot QGP medium
- Effect of intense magnetic fields on reduced-MHD evolution in = 200 GeV Au+Au collisions
- Electric and magnetic response of hot QCD matter
- Quark-gluon plasma in an external magnetic field
- Chiral susceptibility and the scalar Ward identity
- Azimuthally-sensitive femtoscopy from RHIC to LHC in hydrodynamics with statistical hadronization
- Event-by-event distribution of magnetic field energy over initial fluid energy density in = 200 GeV Au-Au collisions
- Anisotropic pressure of deconfined QCD matter in presence of strong magnetic field within one-loop approximation
- Magnetic catalysis in nuclear matter
- Magnetic contribution to dilepton production in heavy-ion collisions
- Enhanced thermal photon and dilepton production in strongly coupled N=4 SYM plasma in strong magnetic field
- Asymptotic freedom in strong magnetic field
- Finite temperature quark-gluon vertex with a magnetic field in the Hard Thermal Loop approximation
- Heavy Quark Potential in a static and strong homogeneous magnetic field
- Revisit to electrical and thermal conductivities, Lorenz number and Knudsen number in thermal QCD in a strong magnetic field
- Temperature dependence of the axial magnetic effect in two-color quenched QCD
- Magnetic field-induced squeezing effect at RHIC and at the LHC
- Electron Self-Energy in Strong Magnetic Field: Summation of Double Logarithmic Terms
- One-loop QCD thermodynamics in a strong homogeneous and static magnetic field
- Faraday effect : a field theoretical point of view
- Field theory of the photon self-energy in a medium with a magnetic field and the Faraday effect
- Enhancement of flow anisotropies due to magnetic field in relativistic heavy-ion collisions
- Gluon Spectrum in Quark-Gluon Plasma under Strong Magnetic Fields
- SU(3) Polyakov Linear Sigma-Model in an External Magnetic Field
- Magnetic susceptibility of a strongly interacting thermal medium with 2+1 quark flavors
- Quark-meson coupling model for antikaon condensation in neutron star matter with strong magnetic fields
- Thermal photon production from gluon fusion induced by magnetic fields in relativistic heavy-ion collisions
- Magnetic susceptibility at zero and nonzero chemical potential in QCD and QED
- A new and finite family of solutions of hydrodynamics. Part I: Fits to pseudorapidity distributions
- A new and finite family of solutions of hydrodynamics: Part III: Advanced estimate of the life-time parameter
- A new and finite family of solutions of hydrodynamics: Part II: Advanced estimate of initial energy densities
- Magnetic Susceptibility of Quark Matter
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- Effect of magnetic field on the charge and thermal transport properties of hot and dense QCD matter
- Momentum transport properties of a hot and dense QCD matter in a weak magnetic field
- Momentum and its affiliated transport coefficients for a hot QCD matter in a strong magnetic field
- Seebeck effect in a thermal QCD medium in the presence of strong magnetic field
- Viscous properties of hot and dense QCD matter in the presence of a magnetic field
- Diamagnetic and Paramagnetic Phases in Low-Energy Quantum Chromodynamics
- Pion Pressure in a Magnetic Field
- Thermomagnetic Properties of QCD
- Transport Coefficients of relativistic matter: A detailed formalism with a gross knowledge of their magnitude