On the Moyal Star Product of Resurgent Series
نویسندگان
چکیده
We analyze the Moyal star product in deformation quantization from resurgence theory perspective. By putting algebraic conditions on Borel transforms, one can define space of “algebro-resurgent series” (a subspace 1-Gevrey formal series iℏ with coefficients ℂ{x 1 ,...,x d }), which we show is stable under product.
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ژورنال
عنوان ژورنال: Annales de l'Institut Fourier
سال: 2023
ISSN: ['0373-0956', '1777-5310']
DOI: https://doi.org/10.5802/aif.3565