Return to Equilibrium

We consider the question of existence of non-radical solutions to Ginzburg-Landau equation. We present results indicating that such solutions do exist. We look for such solutions as saddle points of the renormalized Ginzburg-Landau free energy functional (the latter was introduced in reference [OS1]). There are two main points in our analysis: we look for solutions having certain point symmetries and we characterize saddle point solutions in terms of critical points of certain intervortex energy function which we introduce. The latter critial points correspond to forceless vortex configuation.