Report/Journal Article

PUBDB-2015-04720

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Resummations and non-perturbative corrections

Hatsuda, Y. (Corresponding author)DESY* ; Okuyama, K.

2015
Springer Berlin

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Please use a persistent id in citations: doi:10.1007/JHEP09(2015)051

Report No.: DESY-15-079; arXiv:1505.07460

Abstract: We consider a generalization of the Borel resummation, which turns out to be equivalent to the standard Borel resummation. We apply it to the simplest large N duality between the pure Chern-Simons theory and the topological string on the resolved conifold, and obtain a simple integral formula for the free energy. Expanding this integral representation around the large radius point at finite string coupling g s , we find that it includes not only the M-theoretic resummation à la Gopakumar and Vafa, but also a non-perturbative correction in g s . Remarkably, the obtained non-perturbative correction is in perfect agreement with a proposal for membrane instanton corrections in arXiv:​1306.​1734. Various other examples are also presented.

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2015

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Database coverage:
; ; ; Current Contents - Physical, Chemical and Earth Sciences ; IF >= 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint/Internal Report Hatsuda, Y. (Corresponding author)DESY* ; Okuyama, K.
Resummations and Non-Perturbative Corrections
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