Decaying Systems and Divergence of the Series of Perturbation Theory:. Preprint (1964) by A.I. Vainshtein

Perturbation theory is the most common tool applied for calculations in quantum mechanics and, especially, field theory. In weakly coupled theories, such as quantum electrodynamics or electroweak model, calculations based on the Feynman graphs (which represent a particular order in the perturbative series) are innumerable. This approach has a solid theoretical foundation, and its remarkable success is no surprise...