The quantum origins of non-topological vortices

Carl Turner

OAI: oai:www.repository.cam.ac.uk:1810/319403 • DOI: 10.17863/CAM.66526

Abstract: We review some unusual facts about the theory of non-relativistic anyons in 2+1 dimensions, and use it as a laboratory to explore how interesting features of non­relativistic field theory correspond to those of many-body quantum mechanics. In particular, we offer an explanation of how Jackiw-Pi vortices arise as the classical limit of certain many-body states in the quantum mechanical theory. Along the way, we make various interesting observations about universal features of the spectrum of anyons subject to different amounts of tuning.

Regular Article - Theoretical Physics Chern-Simons Theories Solitons Monopoles and Instantons Anyons conformal field theory