Quantum Electrodynamics at Extremely Small Distances
  The asymptotics of the Gell-Mann - Low function in QED can be determined exactly, \beta(g)= g at g\to\infty, where g=e^2 is the running fine structure constant. It solves the problem of pure QED at small distances L and gives the behavior g\sim L^{-2}. 
I. M. Suslov (P.L.Kapitza Institute for Physical Problems, Moscow,   Russia)