  We analyze the correlation function of a meson with one heavy and one light
quark in inverse powers of the heavy quark mass $m_Q$ using a succession of
Foldy-Wouthuysen-type transformations prior to radiative corrections. We
evaluate the correlator to order $m_Q^0$ in a random and dilute gas of
instantons, using the planar approximation. We show, in leading order in the
density, that the heavy quark mass is shifted to the order $m_Q^0$ and that the
induced interaction between the heavy and light quarks is attractive. We also
find it to be an order of magnitude smaller than the 't Hooft interaction
between two light quarks. The shift in the heavy quark mass is related to the
perimeter law of large Wilson loops. The relevance of these results for general
hadronic correlators with heavy quarks is discussed.
