QCD Sum Rules: From quantum-mechanical oscillator to pion structure in QCD

Details QCD Sum Rules: From quantum-mechanical oscillator to pion structure in QCD QCD Sum Rules: From quantum-mechanical oscillator to pion structure in QCD

2006-10-20

arxiv.org/abs/hep-ph/0610266v1

ActaPhys.Polon.B37:3603-3626,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, 12 figures, invited lectures at XLVI Cracow School of Theoretical Physics, Zakopane, 27 May -- 6 June, 2006

Scientific paper

We illustrate the general scheme of the Sum Rule (SR) method using 2D Quantum Harmonic Oscillator (2DQHO) as a toy model. We introduce correlator, related to Green function of 2DQHO, and describe the property of Asymptotic Freedom for 2DQHO. We explain how the duality conception allows one to describe excited states. Finally we present numerical results and extract some lessons to learn from our exposition. Then we switch to the QCD and show that QCD SRs supply us the method to study hadrons in non-perturbative QCD. Here the main emphasis is put on the pion and its distribution amplitude and form factors.

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