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arXiv · 1912.03518

$1/\epsilon$ problem in resurgence

Naohisa Sueishi
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Abstract

This paper considers the $1/\epsilon$ 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.

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Naohisa Sueishi. 2019-12-07. $1/\epsilon$ problem in resurgence. https://doi.org/10.1093/ptep/ptaa156

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