We calculate the euclidean action of a pair of Z(2) monopoles (instantons),
as a function of their spatial separation, in D = 2 + 1 SU(2) lattice gaug
e theory. We do so both above and below the deconfining transition at T = T
-c. At high T, and at large separation, we find that the monopole "interact
ion" grows linearly with distance: the flux between the monopoles forms a f
lux tube (exactly like a finite portion of a Z(2) domain wall) so that the
monopoles are linearly confined. At short distances the interaction is well
described by a Coulomb interaction with, at most, a very small screening m
ass, possibly equal to the Debye electric screening mass. At low T the inte
raction can be described by a simple screened Coulomb (i.e. Yukawa) interac
tion with a screening mass that can be interpreted as the mass of a "consti
tuent gluon". None of this is unexpected, but it helps to resolve some appa
rent controversies in the recent literature.