Conductivity of SU(2) gluodynamics vacuum induced by magnetic field

We study the electric conductivity of the vacuum of quenched SU(2) lattice gauge theory in the magnetic field, B, both in the confinement and in the deconfinement phases. In the confinement phase the external magnetic field induces nonzero electric conductivity along the direction of the field, transforming the system from an insulator into an anisotropic conductor. In the deconfinement phase the conductivity does not exhibit any sizable dependence on the magnetic field. We also find that the conductivity grows as the quark mass decreases, the behavior has a form B/{radical}(m).