  We investigate the large distance behavior of the electric and magnetic
propagators of hot SU(2) gauge theory in different gauges using lattice
simulations of the full 4d theory and the effective, dimensionally reduced 3d
theory. Comparison of the 3d and 4d propagators suggests that dimensional
reduction works surprisingly well down to the temperature T=2 T_c. Within
statistical uncertainty the electric screening mass is found to be gauge
independent. The magnetic propagator, on the other hand, exhibits a complicated
gauge dependent structure at low momentum.
