On the Breakdown of Perturbation Theory
高能物理 - 理论
2010-11-01 v1
摘要
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.
引用
@article{arxiv.hep-th/9212033,
title = {On the Breakdown of Perturbation Theory},
author = {C. Bachas},
journal= {arXiv preprint arXiv:hep-th/9212033},
year = {2010}
}
备注
(13 pages), CPTH/C209-1292 (Talk at the Kiev Conference on: Modern Problems in QFT, Strings and Quantum Gravity, June 1992)