Instantons in Large Order of the Perturbative Series
arXiv:hep-th/9403106 · doi:10.1016/0370-2693(94)90773-0
Abstract
Behavior of the Euclidean path integral at large orders of the perturbation series is studied. When the model allows tunneling, the path-integral functional in the zero instanton sector is known to be dominated by bounce-like configurations at large order of the perturbative series, which causes non-convergence of the series. We find that in addition to this bounce the perturbative functional has a subleading peak at the instanton and anti-instanton pair, and its sum reproduces the non-perturbative valley.
arXiv comment9 pages (without figures), KUCP-66