$1/\epsilon$ problem in resurgence
High Energy Physics - Theory
2021-01-01 v3
Abstract
This paper considers the problem, which is the divergent behavior of the ground state energy of asymmetric potential in quantum mechanics, which is calculated with semi-classical expansion and resurgence technique. Using resolvent method, It is shown that including not only one complex bion but multi-complex bion and multi-bounce contributions solves this problem. This result indicates the importance of summing all possible saddle points contribution and also the relationship between exact WKB and path integral formalism.
Cite
@article{arxiv.1912.03518,
title = {$1/\epsilon$ problem in resurgence},
author = {Naohisa Sueishi},
journal= {arXiv preprint arXiv:1912.03518},
year = {2021}
}