Instantons from Perturbation Theory
High Energy Physics - Theory
2018-02-01 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
In quantum mechanics and quantum field theory perturbation theory generically requires the inclusion of extra contributions non-perturbative in the coupling, such as instantons, to reproduce exact results. We show how full non-perturbative results can be encoded in a suitable modified perturbative series in a class of quantum mechanical problems. We illustrate this explicitly in examples which are known to contain non-perturbative effects, such as the (supersymmetric) double-well potential, the pure anharmonic oscillator, and the perturbative expansion around a false vacuum.
Cite
@article{arxiv.1612.04376,
title = {Instantons from Perturbation Theory},
author = {Marco Serone and Gabriele Spada and Giovanni Villadoro},
journal= {arXiv preprint arXiv:1612.04376},
year = {2018}
}
Comments
4 pages, 1 figure; v2: minor corrections and improvements, ref. added