  We consider the SU(2) lattice gauge model and investigate numerically the
continuum limit of the simple center vortices which are singular configurations
of the gauge fields. We found that the vortices remain alive in the continuum
theory. Also we investigate the Creutz ratio and found that for all $\beta$ it
vanishes for those field configurations which do not contain the simple center
vortices inside the considered Wilson loop. It leads us to the conclusion that
these singular field configurations play a real role in the continuum theory.
