Ovchinnikov, Yu.N., Sigal, I.M.
The Ginzburg-Landau Equation II. The Energy of Vortex Configurations
(266K, PS-version)
ABSTRACT. We consider the Ginzburg-Landau
equation in dimension two. We introduce
a key notion of the energy of vortex configurations.
It is defined by minimizing the renormalized Ginzburg-Landau
(free) energy introduced in the previous paper over
functions with a given set of zeros of given local
indices.
This notion allows us to define the vortex interaction
and vortex Hamiltonian in a canonical way.
We find asymptotic behaviour of this energy as the intervortex
distances grow.
To this end we use several novel techniques.