  Using an effective theory for an ensemble of center vortices, we observe the
area law fall-off in the continuum limit for the SU($2$) gauge group in
three-dimensional Euclidean space-time. The string tension is obtained in terms
of the intrinsic properties of the vortices and the parameter describing their
interactions. A good qualitative agreement between our results and the lattice
ones is observed. In addition, we show that the repulsive force between the
vortices increases with temperature. This behavior is expected due to the
reduction of vortex configuration at higher temperatures, required for the
deconfinement regime.
