A point particle approximation to the classical dynamics of well separated vortices of the abelian Higgs model is developed. The asymptotic static intervortex potential is calculated and used to model type II vortex scattering. A velocity dependent interaction Lagrangian for critically coupled vortices is derived, and reinterpreted geometrically to obtain a conjecture for the asymptotic form of...

SU(2) lattice gauge theory is studied after eliminating thin monopoles and the smallest thick monopoles. Kinematically this constraint allows thick vortex loops which produce long range Z(2) fluctuations. The thick vortex loops are identified in a three dimensional simulation. A condensate of thick vortices persists even after the thin vortices have all disappeared. They decouple at a slightly ...

In this paper we describe new classes of periodic solutions for point vortices on a plane and a sphere. They correspond to similar solutions (so-called choreographies) in celestial mechanics. 1 Equations of motion and first integrals for vortices on a plane For n point vortices with Cartesian coordinates (xi, yi) and intensities Γi, the Hamiltonian equations of the motion are Γiẋi = ∂H ∂yi , Γi...

The magnetic vortices which arise in SU(2) lattice gauge theory in center projection are visualized for a given time slice. We establish that the number of vortices piercing a given 2-dimensional sheet is a renormalization group invariant and therefore physical quantity. We find that roughly 2 vortices pierce an area of 1 fm. ∗ Supported in part by DFG under contract Re 856/1–3.

We study propagation of a pair of oppositely charged and mutually incoherent vortices in anisotropic nonlinear optical media. Mutual interactions retard the delocalization of the vortex core observed for isolated vortices.

A system of N vortices in a two-dimensional harmonic trap is considered. The vortices are treated as Yukawa bosons. The problem is solved using the Density functional theory within Kohn-Sham scheme.