35 citations · 60 across the 4 of their papers we have counts for
4 papers
Interaction energy of Chern-Simons vortices in the gauged O(3) sigma model
K. Arthur
The purpose of this Letter is to present a computation of the interaction energy of gauged O(3) Chern-Simons vortices which are infinitely separated. The results will show the beha…
Towards a Coulomb gas of instantons in the SO(4)xU(1) Higgs model on R_4
K. Arthur, G. M. O'Brien, D. H. Tchrakian
The Higgs model on is extended by a term so that the action receives a nonvanishing contribution from the interactions of 2-instantons and 3-instant…
SO(3) Gauged Soliton of an O(4) Sigma Model on
K. Arthur, D. H. Tchrakian
Vector gauged sigma models on are presented. The topological charge supplying the lower bound on the energy and rendering the soliton stable coincides with th…
Existence Theorems for Vortex Scattering
K. Arthur, J. Burzlaff
The analysis of vortex-vortex scattering is extended to scattering in all head-on collisions of vortices in the Abelian Higgs model. A Cauchy problem w…