Vortex Reconnection in the 3D Critical Abelian Higgs Model

Explore the intricacies of vortex reconnection in the 3D critical Abelian Higgs model (AHM) through this 58-minute lecture by Robert Jerrard at BIMSA. Delve into the construction of solutions for this nonlinear system of wave equations, focusing on the behavior of slowly-moving, nearly parallel vortex filaments. Examine how the leading-order dynamics of these filament ensembles are described by a wave map into the moduli space, a manifold with a natural Riemannian structure. Gain insights into the poorly-understood phenomenon of vortex reconnection, discovering how it emerges as the generic outcome of collisions between pairs of vortex filaments in the studied regime. Learn about the collaborative research conducted with Amirmasoud Geevechi, shedding light on this complex topic in particle physics.