Preprint/Internal Report

PUBDB-2015-02212

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

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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 find a simple integral formula for the free energy. Expanding this integral representation around the large radius point at finite string coupling gs, we find that it includes not only the M-theoretic resummation a la Gopakumar and Vafa, but also a non-perturbative correction in gs. 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.

Keyword(s): correction: nonperturbative ; Borel transformation ; expansion 1/N ; resummation

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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:
Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Report/Journal Article Hatsuda, Y. (Corresponding author)DESY* ; Okuyama, K.
Resummations and non-perturbative corrections
Journal of high energy physics 2015(9), 51 (2015) [10.1007/JHEP09(2015)051]2015     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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