Lattice vortices in the two-dimensional Abelian Higgs model

We generate and identify multi-vortices of the 2D Abelian Higgs model on a finite lattice by relaxation of Monte Carlo equilibrium configurations. The lattice vortices have action and a uniquely defined topological charge corresponding to the continuum ones. They exhibit the expected exponential decay behaviour and satisfy approximately the classical equations of motion. Vortex-antivortex superpositions are seen as well, supporting the dilute gas picture. Single vortices finally relax into ''dislocations'' and disappear. A background charge construction turns out nearly insensitive with respect to dislocations. (orig.)