  We apply the relative weights method (arXiv:1209.5697) to determine the
effective Polyakov line action for SU(2) lattice gauge theory in the confined
phase, at lattice coupling beta=2.2 and N_t=4 lattice spacings in the time
direction. The effective action turns out to be bilinear in the fundamental
representation Polyakov line variables, with a rather simple expression for the
finite range kernel. The validity of this action is tested by computing
Polyakov line correlators, via Monte Carlo simulation, in both the effective
action and the underlying lattice theory. It is found that the correlators in
each theory are in very close agreement.
