Work

Short-range intervortex forces

Year: 2025

Type: article

Abstract: 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 d 4 , not d 2 . The formula contains n − 1 real coefficients, which are fixed by certain spectral data of the Jacobi operator of the cocentered 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.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/2m3b-gr79

Authors: Martin Speight, Thomas Winyard

Institutions: University of Leeds, Maxwell Institute for Mathematical Sciences, University of Edinburgh

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: Engineering and Physical Sciences Research Council

Awards: Skyrmion lattices in chiral ferromagnets, Topological defects in multicomponent Ginzburg-Landau theory