2025/07/14 by Martin Speight, Thomas Winyard, Speight, Martin +1 · 1 citation
Engineering · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle accelerators and beam dynamics #Superconductivity (cond-mat.supr-con)
paper · pdf · doi:10.48550/arxiv.2507.10438
openalex publication_date 2025/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An explicit formula for the interaction energy of n vortices in the abelian Higgs (or Ginzburg-Landau) model is derived, valid in the regime where all vortices are close to one another. An immediate consequence of this formula is that the interaction energy of a vortex pair with separation d varies as d4, not d2. The formula contains n-1 real coefficients which are fixed by certain spectral data of the Jacobi operator of the cocentred n-vortex. The coefficients are computed numerically for n=2 and n=3 for couplings 0.1≤ λ≤ 2.5. The resulting short range interaction potentials are compared with the results of full field theory simulations for λ=0.5 and λ=2, with excellent agreement at small to moderate vortex separation.