  We detect a positive angular correlation between bright, high-redshift QSOs
and foreground galaxies. The QSOs are taken from the optically selected LBQS
Catalogue, while the galaxies are from the APM Survey. The correlation
amplitude is about a few percent on angular scales of over a degree. It is a
function of QSO redshift and apparent magnitude, in a way expected from weak
lensing, and inconsistent with QSO-galaxy correlations being caused by physical
associations, or uneven obscuration by Galactic dust. The correlations are
ascribed to the weak lensing effect of the foreground dark matter, which is
traced by the APM galaxies. The amplitude of the effect found here is compared
to the analytical predictions from the literature, and to the predictions of a
phenomenological model, which is based on the observed counts-in-cells
distribution of APM galaxies. While the latter agree reasonably well with the
analytical predictions (namely those of Dolag & Bartelmann 1997, and Sanz et
al. 1997), both under-predict the observed correlation amplitude on degree
angular scales. We consider the possible ways to reconcile these observations
with theory, and discuss the implications these observations have on some
aspects of extragalactic astronomy.
