Abstract
We estimate here the electrical and Hall conductivity using a quasiparticle approach for quark matter. We use a Boltzmann kinetic approach in presence of external magnetic field. We confront the results of model calculations with Lattice QCD simulations for vanishing magnetic field. In general electrical conductivity decreases with magnetic field. The Hall conductivity on the other hand can show a non monotonic behaviour with magnetic field due to an intricate interplay of behaviour of relaxation time and strength of the magnetic field. We argue for vanishing quark chemical potential Hall conductivity vanishes and quark gluon plasma with finite quark chemical potential can show Hall effect. Both electrical conductivity and Hall conductivity increases with increasing quark chemical potential.
Highlights
Relativistic heavy-ion collision experiments at Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC) provide an opportunity for a comprehensive understanding of quantum chromodynamics (QCD) in nonperturbative regime, especially for the phase diagram of strongly interacting matter
We study the electrical conductivity and Hall conductivity in the presence of magnetic field for quark gluon plasma within the framework of quasiparticle models
We have considered two specific quasiparticle models of quark gluon plasma (QGP), quasiparticle model I (QPM I), where the quasiparticle nature of the quarks and gluon are encoded in thermal mass of the quasi partons, and quasiparticle model II (QPM II), where the quasiparticle nature is encoded in the effective fugacity parameter in the distribution function
Summary
Relativistic heavy-ion collision experiments at Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC) provide an opportunity for a comprehensive understanding of quantum chromodynamics (QCD) in nonperturbative regime, especially for the phase diagram of strongly interacting matter. We attempt to calculate the electrical conductivity and Hall conductivity in the presence of magnetic field using the relaxation time approximation in Boltzmann kinetic equation In this context, it may be noted that the thermalization of the strongly interacting medium is governed by QCD processes. Effect of magnetic field only enters in the calculation through the cyclotron frequency of the charged particles In this investigation, we consider that the thermalization of the strongly interacting medium is achieved due to the strong interaction and the external magnetic field which is generically relatively small with respect to the dominant scale of the system. We summarize our work with an outlook in the conclusion section
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