The pion form factor from first principles

Details The pion form factor from first principles The pion form factor from first principles

2003-09-29

arxiv.org/abs/hep-lat/0309183v1

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages, 2 figures; proceedings of Hadron03, Aschaffenburg, Germany

Scientific paper

10.1063/1.1799698

We calculate the electromagnetic form factor of the pion in quenched lattice QCD. The non-perturbatively improved Sheikoleslami-Wohlert lattice action is used together with the ${\mathcal O}(a)$ improved current. We calculate form factor for pion masses down to $m_\pi = 360 MeV$. We compare the mean square radius for the pion extracted from our form factors to the value obtained from the 'Bethe Salpeter amplitude'. Using (quenched) chiral perturbation theory, we extrapolate our results towards the physical pion mass.

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