  In contrast to hole-doped systems which have hole pockets centered at $(\pm
\frac{\pi}{2a},\pm \frac{\pi}{2a})$, in lightly electron-doped antiferromagnets
the charged quasiparticles reside in momentum space pockets centered at
$(\frac{\pi}{a},0)$ or $(0,\frac{\pi}{a})$. This has important consequences for
the corresponding low-energy effective field theory of magnons and electrons
which is constructed in this paper. In particular, in contrast to the
hole-doped case, the magnon-mediated forces between two electrons depend on the
total momentum $\vec P$ of the pair. For $\vec P = 0$ the one-magnon exchange
potential between two electrons at distance $r$ is proportional to $1/r^4$,
while in the hole case it has a $1/r^2$ dependence. The effective theory
predicts that spiral phases are absent in electron-doped antiferromagnets.
