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Annales de l’institut Fourier
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On the Moyal Star Product of Resurgent Series

On the Moyal star product of resurgent series
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 09 Oct 2023Embargo end date: 01 Jan 2020 France English Publisher:MathDoc/Centre MersenneJournal:Annales de l'Institut Fourier, volume 73, pages 1,987-2,027 (eissn: 1777-5310, Copyright policy )Funded by:EC | ReNewQuantum, FCT | D4
Authors: Li, Yong; Sauzin, David; Sun, Shanzhong;

doi: 10.5802/aif.3565 , 10.48550/arxiv.2012.15224

arXiv: 2012.15224

On the Moyal Star Product of Resurgent Series

Abstract

We analyze the Moyal star product in deformation quantization from the resurgence theory perspective. By putting algebraic conditions on Borel transforms, one can define the space of “algebro-resurgent series” (a subspace of 1 -Gevrey formal series in i ℏ with coefficients in ℂ { x 1 , ... , x d } ), which we show is stable under Moyal star product.

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Keywords

791, Hadamard product, Deformation quantization, star products, FOS: Physical sciences, [MATH] Mathematics [math], Mathematical Physics (math-ph), asymptotic series, deformation quantization, Moyal star product, space of algebra-resurgent series, [MATH]Mathematics [math], resurgence theory, Mathematical Physics

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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!
2
Average
Average
Average
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gold