Medium effects on the electrical and Hall conductivities of a hot and magnetized pion gas

Understand

The electrical and Hall conductivities in a uniform magnetic field are evaluated for an interacting pion gas using the kinetic theory approach within the ambit of relaxation time approximation (RTA).

• The in-medium cross sections vis-a-vis the relaxation time for $\pi\pi$ scattering are obtained using a one-loop modified thermal propagator for the exchanged $\rho$ and $\sigma$ mesons using thermal field theoretic techniques.
• For higher values of the magnetic field, a monotonic increase of the electrical conductivity with the temperature is observed.
• However, for a given temperature the conductivity is found to decrease steadily with magnetic field.