Pion Form Factor in QCD: How to Calculate?

Abstract

We discuss the pion form factor calculation in QCD.We shortly consider the main points of the nonlocal condensate QCD sum rule approach and show its results for the pion form factor, $F_{\pi }(Q^2)$. These results are compared with predictions of the perturbative and lattice QCD. Then we consider the Local Duality (LD) approach for the pion FF in QCD and show that for $Q^2\gtrsim 2$ GeV${}^2$ the main parameter of the approach, namely, $s_0^{\text{LD}}(Q^2)$ should grow with $Q^2$ rather than be a constant.

25 pages (in Russian), 9 figures, talk at the Baikal Summer School on Particle Physics and Astrophysics, Bol'shie Koty (Irkutsk reg.), July 7--14, 2010 (SPIRES Conf Num: C10/07/06.1), corresponds to the last part of the Doctor-Nauk Thesis (defended 24.12.2009 at Bogoliubov Lab. of Theoretical Physics, JINR; approved by the Supreme Attestation Committee of the Russian Federation on 12.03.2010)

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