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In theories with renormalons the perturbative series is factorially divergent even after restricting to a given order in $1/N$, making the $1/N$ expansion a natural testing ground for the theory of resurgence.
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1992
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1994
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J. M. Evans and T. J. Hollowood, The Exact mass gap of the supersymmetric ℂ ℙ N − 1 \mathbb{C}\mathbb{P}^{N-1} sigma model
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2010
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2010
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2010
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2011
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M. C. Abbott, Z. Bajnok, J. Balog, A. Hegedús, and S. Sadeghian, Resurgence in the O(4) sigma model
2011
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2011
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2012
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2014
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2014
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R. Couso-Santamaría, R. Schiappa, and R. Vaz, Finite N from Resurgent Large N
2015
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Cambridge University Press, 2015
M. Mariño, Instantons and large N N . An introduction to non-perturbative methods in quantum field theory · 2015
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I. Aniceto and R. Schiappa, Nonperturbative ambiguities and the reality of resurgent transseries
2015
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2015
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2017
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2017
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2018
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2018
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I. Aniceto, G. Basar, and R. Schiappa, A Primer on Resurgent Transseries and Their Asymptotics
2019
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F. W. J. Olver, A. B. Olde Daalhuis, D. W. Lozier, B. I. Schneider, R. F. Boisvert, C. W. Clark, B. R. Miller, B. V. Saunders, H. S. Cohl, and M. A. McClain, eds
“ NIST Digital Library of Mathematical Functions · 2021
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2088
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