  Born-Infeld non-linear electrodynamics was introduced to render the self
energy of a point particle finite. It has recently been revived as a field
theory for branes and strings. We quantize this theory on a Euclidean
space-time lattice, using Metropolis Monte-Carlo simulations to measure the
properties of the quantum field theory. Luscher-Weisz methods are used to
measure the electromagnetic fields from a static point charge. The D field from
a point charge appears to be identical to that for the normal Maxwell
Lagrangian. The E field is enhanced by quantum fluctuations, and shows short
distance screening as it does in the classical theory.
