Gavrus and Oh prove global well-posedness of the massless high-dimensional Maxwell-Dirac equation in the Coulomb gauge for data with small scale-critical Sobolev norm, as well as modified scattering of the solutions. The main components of their proof are uncovering null structure of Maxwell-Dirac in the Coulomb gauge, and proving the solvability of the underlying covariant Dirac equation. A key step for achieving both, they say, is to exploit and justify a deep analogy between Maxwell-Dirac and Maxwell-Klein-Gordon, which says that the most difficult part of Maxwell-Dirac takes essentially the same form as Maxwell-Klein-Gordon. They point out that Krieger-Sterbenz-Tataru proved an analogous analogy in 2015. Annotation ©2020 Ringgold, Inc., Portland, OR (protoview.com)
