Abstract
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 nonlocal operator: the propagator of a ``scalar quark'' (named, for short a ``squark''). A theoretical analysis shows that for some kinematical conditions (an energetic pion and hard squark) this matrix element depends dominantly on the LCWF ${\ensuremath{\Phi}}_{\ensuremath{\pi}}(u),u\ensuremath{\in}[0,1].$ 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 a hadronlike bound-state behavior 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 hadronlike bound state. This short time is the place where the partonic wave function has to be looked for.
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