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A Nonperturbative Approach to the Problem π0 → 2 γ

Abstract In this paper the question of the asymptotic conformal invariance of the off-shell amplitude for the process π0 → 2 γ has been investigated. It has been shown that the off-shell amplitude for the process concerned can be given an asymptotically conformal covariant form by using a parton model description of the neutral pion instead of treating the pion as an elementary particle. This investigation shows that the conclusion regarding the question of the asymptotic conformal invariance of the off-shell amplitude for the process π0 → 2 γ obtained from the parton model along with the use of conformal covariant operator product expansions is the same as that of the Johnson-Baker-Willey version of finite QED from which the asymptotic conformal invariance of the 3-point Green's function for the process π0 → 2 γ follows as a necessary consequence.