We study the superfluid-insulator transition of a system of long-range interacting bosons in a time-dependent random potential in two dimensions, using the momentum-shell renormalization group method to one-loop order. The Gaussian-correlated random potential is assumed to be short-range-correlated in spatial directions and long-range-correlated in the temporal dimension. We find a new stable fixed point with nonzero and physical values of the four parameters representing the short- and long-range interactions and the short- and long-range-correlated disorder, when the interaction is asymptotically logarithmic. We propose that our model may be relevant in studying the vortex liquid-vortex glass transition of interacting vortex lines in type-II superconductors with partially-disconnected columnar defects.
