Instantons in Large Order of the Perturbative Series
High Energy Physics - Theory
2010-11-01 v1
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.
Cite
@article{arxiv.hep-th/9403106,
title = {Instantons in Large Order of the Perturbative Series},
author = {Hideaki Aoyama},
journal= {arXiv preprint arXiv:hep-th/9403106},
year = {2010}
}
Comments
9 pages (without figures), KUCP-66