Compton scattering by pion: there is no room for the off-shell effects
Abstract
We show that the off-shell contributions in Compton scattering by pion may exist only in the single exchange diagrams. These contributions are canceled completely in the total gauge-invariant amplitude as it confirmed by one-loop calculations. It explains, in particular, some results of the chiral pertubation theory in the order p4 but this cancelation has no relation to chiral symmetry.
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