LOCAL TIME-DEPENDENT PERTURBATION IN LUTTINGER LIQUID

The response of the Luttinger liquid to a local potential is studied a t zero temperature. It exhibits a crossover behavior. On the largest t ime scale and in the case of repulsive electron-electron interaction, the backscattering from the potential contributes to the core-hole Gre en's function G(t) the factor (t0/t)1/8-a universal (potential indepen dent) decay law. The orthogonality catastrophe remains of the same ana lytical type as for the simple metals.