Electric and magnetic response of hot QCD matter

Abstract

We study the electric conductivity as well as the magnetic response of hot QCD matter at various temperatures $T$ and chemical potentials ${\mu }_q$ within the off-shell Parton-Hadron-String Dynamics (PHSD) transport approach for interacting partonic systems in a finite box with periodic boundary conditions. The response of the strongly-interacting system in equilibrium to an external electric field defines the electric conductivity ${\sigma }_0$ whereas the response to a moderate external magnetic field defines the induced diamagnetic moment ${\mu }_L$ ($T,{\mu }_q$) as well as the spin susceptibility ${\chi }_S(T,{\mu }_q)$. We find a sizeable temperature dependence of the dimensionless ratio ${\sigma }_0/T$ well in line with calculations in a relaxation time approach for $T_c<T<2.5T_c$ as well as an increase of ${\sigma }_0$ with ${\mu }_q^2/T^2$. Furthermore, the frequency dependence of the electric conductivity $\sigma (\Omega )$ shows a simple functional form well in line with results from the Dynamical QuasiParticle Model (DQPM). The spin susceptibility ${\chi }_S(T,{\mu }_q)$ is found to increase with temperature $T$ and to rise $\sim {\mu }_q^2/T^2$, too. The actual values for the magnetic response of the QGP in the temperature range below 250 MeV show that the QGP should respond diamagnetically in actual ultra-relativistic heavy-ion collisions since the maximal magnetic fields created in these collisions are smaller than $B_c(T)$ which defines a boundary between diamagnetism and paramagnetism.

11 pages, 14 figures. arXiv admin note: text overlap with arXiv:1302.0906, matches published version

References in corpus (20)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• The Chiral Magnetic Effect
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• The QCD equation of state with dynamical quarks
• The QCD transition temperature: results with physical masses in the continuum limit
• Charge separation induced by P-odd bubbles in QCD matter
• On the Strongly-Interacting Low-Viscosity Matter Created in Relativistic Nuclear Collisions
• Chiral Magnetic conductivity
• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• Parton transport and hadronization from the dynamical quasiparticle point of view
• Bulk viscosity of QCD matter near the critical temperature
• Magnetic-Field-Induced insulator-conductor transition in SU(2) quenched lattice gauge theory
• From Kadanoff-Baym dynamics to off-shell parton transport
• Transport coefficients from the Nambu-Jona-Lasinio model for $SU(3{)}_f$
• Spectral sum rules for the quark-gluon plasma
• Bulk viscosity in quasi particle models
• Dynamical quasiparticles properties and effective interactions in the sQGP
• QCD thermodynamics and confinement from a dynamical quasiparticle point of view
• Dilepton production in proton-proton and Pb+Pb collisions at sqrt(s_NN)=2.76 TeV
• Dynamical equilibration of strongly interacting "infinite" parton matter within the parton-hadron-string dynamics transport approach

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