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Poisson sigma model and semiclassical quantization of integrable systems


Cattaneo, Alberto S; Mnev, Pavel; Reshetikhin, Nicolai (2018). Poisson sigma model and semiclassical quantization of integrable systems. In: Ge, Mo-Lin; Niemi, Antti; Phua, Kok Khoo; Takhtajan, Leon A. Ludwig Faddeev Memorial Volume. .: s.n., 93-118.

Abstract

In this paper, we outline the construction of semiclassical eigenfunctions of integrable models in terms of the semiclassical path integral for the Poisson sigma model with the target space being the phase space of the integrable system. The semiclassical path integral is defined as a formal power series with coefficients being Feynman diagrams. We also argue that in a similar way one can obtain irreducible semiclassical representations of Kontsevich’s star product.
Dedication: Dedicated to the memory of L. D. Faddeev

Abstract

In this paper, we outline the construction of semiclassical eigenfunctions of integrable models in terms of the semiclassical path integral for the Poisson sigma model with the target space being the phase space of the integrable system. The semiclassical path integral is defined as a formal power series with coefficients being Feynman diagrams. We also argue that in a similar way one can obtain irreducible semiclassical representations of Kontsevich’s star product.
Dedication: Dedicated to the memory of L. D. Faddeev

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Item Type:Book Section, not_refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:1 July 2018
Deposited On:23 Jan 2019 11:43
Last Modified:24 Sep 2019 23:50
Publisher:s.n.
Series Name:World Scienific
ISBN:9789813233768
Additional Information:This paper is also published in Reviews in Mathematical Physics 30 (2018) No. 6; https://doi.org/10.1142/S0129055X18400044.
OA Status:Closed
Publisher DOI:https://doi.org/10.1142/9789813233867_0010
Related URLs:https://www.recherche-portal.ch/primo-explore/fulldisplay?docid=ebi01_prod011249576&context=L&vid=ZAD&search_scope=default_scope&tab=default_tab&lang=de_DE (Library Catalogue)

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