  We present the first attempt of a new method to compute the pion light-cone
wave function (LCWF) on the lattice. We compute the matrix element between the
pion and the vacuum of a non-local operator: the propagator of a ``scalar
quark'' (named for short "squark"). A theoretical analysis shows that for some
kinematical conditions (energetic pion and hard squark) this matrix element
depends dominantly on the LCWF $\Phi_\pi(u), u\in [0,1]$. On the lattice, the
discretization of the parton momenta imposes further constraints on the pion
momentum. The two-point Green functions made of squark-quark and squark-squark
fields show hadron-like bound-state behaviour and verify the standard energy
spectrum. We show some indications that during a short time, after being
created, the system of the spectator quark and the squark behave like partons,
before they form a hadron-like bound state. This short time is the place where
the partonic wave function has to be looked for.
