Proof of the Julia-Zee Theorem
  It is a well accepted principle that finite-energy static solutions in the classical relativistic gauge field theory over the $(2+1)$-dimensional Minkowski spacetime must be electrically neutral. We call such a statement the Julia--Zee theorem. In this paper, we present a mathematical proof of this fundamental structural property. 
Joel Spruck (Johns Hopkins University), Yisong Yang (Yeshiva   University)