  We analyze the D9-D9bar system in type IIB string theory using Dp-brane
probes. It is shown that the world-volume theory of the probe Dp-brane contains
two-dimensional and four-dimensional QED in the cases with p=1 and p=3,
respectively, and some applications of the realization of these well-studied
quantum field theories are discussed. In particular, the two-dimensional QED
(the Schwinger model) is known to be a solvable theory and we can apply the
powerful field theoretical techniques, such as bosonization, to study the
D-brane dynamics. The tachyon field created by the D9-D9bar strings appears as
the fermion mass term in the Schwinger model and the tachyon condensation is
analyzed by using the bosonized description. In the T-dualized picture, we
obtain the potential between a D0-brane and a D8-D8bar pair using the Schwinger
model and we observe that it consists of the energy carried by fundamental
strings created by the Hanany-Witten effect and the vacuum energy due to a
cylinder diagram. The D0-brane is treated quantum mechanically as a particle
trapped in the potential, which turns out to be a system of a harmonic
oscillator.
  As another application, we obtain a matrix theory description of QED using
Taylor's T-duality prescription, which is actually applicable to a wide variety
of field theories including the realistic QCD. We show that the lattice gauge
theory is naturally obtained by regularizing the matrix size to be finite.
