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Physical resurgent extrapolation

Authors: Ovidiu Costin; Gerald V. Dunne;

Physical resurgent extrapolation

Abstract

Expansions of physical functions are controlled by their singularities, which have special structure because they themselves are physical, corresponding to instantons, caustics or saddle configurations. Resurgent asymptotics formalizes this idea mathematically, and leads to significantly more powerful extrapolation methods to extract physical information from a finite number of terms of an expansion, including precise decoding of non-perturbative effects.

11 pages, 8 figures

Keywords

High Energy Physics - Theory, Extrapolation to the limit, deferred corrections, Physics, QC1-999, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Perturbation theories for operators and differential equations in quantum theory, FOS: Physical sciences, Mathematical Physics (math-ph), Perturbative methods of renormalization applied to problems in quantum field theory, Condensed Matter - Other Condensed Matter, High Energy Physics - Theory (hep-th), Mathematical Physics, Other Condensed Matter (cond-mat.other)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
46
Top 1%
Top 10%
Top 1%
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