Magnetic-field Induced Screening Effect and Collective Excitations

Understand

We explicitly construct the fermion propagator in a magnetic field background B to take the lowest Landau-level approximation.

• We analyze the energy and momentum dependence in the polarization tensor and discuss the collective excitations.
• We find there appear two branches of collective modes in one of two transverse gauge particles; one represents a massive and attenuated gauge particle and the other behaves similar to the zero sound at finite density.