On the breakdown of perturbation theory
Copyright policy )On the breakdown of perturbation theory
The production of o(1/g^2) particles in a weakly-coupled theory is believed to be non-perturbatively suppressed. I comment on the prospects of (a) establishing this rigorously, and (b) estimating the effect to exponential accuracy semiclassically, by discussing two closely-related problems: the large-order behaviour of few-point Green functions, and induced excitation in quantum mechanics. Induced tunneling in the latter case is exponentially enhanced for frequencies of the order of the barrier height.
(13 pages), CPTH/C209-1292 (Talk at the Kiev Conference on: Modern Problems in QFT, Strings and Quantum Gravity, June 1992)
High Energy Physics - Theory, induced excitation in quantum mechanics, order of the barrier height, Perturbation theory of linear operators, large-order behavior of few-point Green functions, Applications of operator theory in the physical sciences, FOS: Physical sciences, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, exponential accuracy, induced tunneling, High Energy Physics - Theory (hep-th), weakly-coupled theory, Weak interaction in quantum theory
High Energy Physics - Theory, induced excitation in quantum mechanics, order of the barrier height, Perturbation theory of linear operators, large-order behavior of few-point Green functions, Applications of operator theory in the physical sciences, FOS: Physical sciences, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, exponential accuracy, induced tunneling, High Energy Physics - Theory (hep-th), weakly-coupled theory, Weak interaction in quantum theory
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