  We discuss chiral symmetry breaking in the intersecting brane model of Sakai
and Sugimoto at weak coupling for a generic value of separation $L$ between the
flavour $D8$ and anti-$D8$-branes. For any finite value of the radius $R$ of
the circle around which the colour $D4$-branes wrap, a non-local
Nambu$-$Jona-Lasinio (NJL) type short-range interaction couples the flavour
branes and anti-branes. We argue that chiral symmetry is broken in this model
only above a certain critical value of the 4-dimensional 't Hooft coupling and
confirm this through numerical calculations of solutions to the gap equation.
We also numerically investigate chiral symmetry breaking in the limit $R \to
\infty$ keeping $L$ fixed, but find that simple ways of implementing this limit
do not lead to a consistent picture of chiral symmetry breaking in the
non-compact version of the non-local NJL model.
