Electric conductivity of the quark-gluon plasma investigated using Boltzmann transport theory

Hot Quarks 2014: Workshop for young scientists on the physics of ultrarelativistic nucleus-nucleus collisions

Greif, Moritz^1 ; Bouras, Ioannis^1 ; Xu, Zhe^1 ; Greiner, Carsten^1

Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Max-von-Laue-Strae 1, Frankfurt am Main

D-60438, Germany^1

关键词: Analytic formula;    Boltzmann transport theory;    External electric field;    Green-Kubo formula;    Numerical results;    Perturbative QCD;    Quark-gluon plasma;    Transport codes;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/612/1/012056/pdf
DOI  :  10.1088/1742-6596/612/1/012056

来源: IOP

【 摘 要 】

The electric conductivity of a hot quark-gluon plasma is obtained numerically by solving the relativistic Boltzmann equation. We use a relativistic, semi-classical partonic cascade including screened binary and inelastic, radiative 23 perturbative QCD scattering. We employ the Green-Kubo formula and, independently, evaluate the static electric current established by the influence of an external electric field, in order to extract the conductivity. Both numerical methods give the same result. By using only constant, isotropic cross sections, we are able to compare the numerical results and analytic formulas with excellent agreement. Using pQCD scattering with running coupling in the transport code allows us to contrast our results with recent lattice QCD data.