  I give a review and progress report on studies of lattice QED. I emphasize
analytical results and methods that are applied in data analysis. Also, I
derive some bounds for the critical exponents and establish their connection
with scaling violations. Triviality, as realized in $\phi^4$ theory, is ruled
out on theoretical grounds. I show that the present data, if analyzed
correctly, all lead to the same conclusions. They are compatible with power law
scaling with nongaussian exponents.
