Quantum color screening in external magnetic field

We calculate color screening mass in a thermalized and magnetized QCD matter in the frame of loop resummation theory at finite temperature and magnetic field. Different from the normal Debye screening in classical electrodynamics, the color screening mass in an external magnetic field is characterized by the quantized quark transverse energy $\epsilon_n^2=2n|qB|$, similar to the Landau energy levels derived in quantum mechanics. Our calculation without constriction to the temperature and magnetic field strengths comes back to the well-known results in the limits of weak and strong magnetic field.Comment: 9 pages, 1 figur