Electric conductivity of hot and dense quark matter in a magnetic field with Landau level resummation via kinetic equations

Understand

We compute the electric conductivity of quark matter at finite temperature $T$ and quark chemical potential $\mu$ under a magnetic field $B$ beyond the Lowest Landau level approximation.

• The electric conductivity transverse to $B$ is dominated by the Hall conductivity $\sigma_H$.
• For the longitudinal conductivity $\sigma_\parallel$, we need to solve kinetic equations.
• Then, we numerically find that $\sigma_\parallel$ has only mild dependence on $\mu$ and the quark mass $m_q$.