Preliminaries on a Lattice Analysis of The Pion Light-cone Wave function: a Partonic Signal?

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 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.

23 pages, 21 PS figures, Latex

References in corpus (2)

• Mesons on a transverse lattice
• QCD factorization for the pion diffractive dissociation to two jets

Cited by in corpus (17)

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