Dynamical transverse Meissner effect and transition in moving Bose glass

We study moving periodic structures in presence of correlated disorder usin g renormalization group. We find that the effect of disorder persists at al l velocities resulting at zero temperature in a moving Bose glass phase wit h transverse pinning. At nonzero temperature we find two distinct moving gl ass phases. We predict a sharp transition, as velocity increases between th e moving Bose glass, where the transverse Meissner effect persists in the d irection transverse to motion and a correlated moving glass at high velocit y, where it disappears. Experimental consequences for vortex lattices and c harge-density wave systems are discussed.