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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Nearly associative deformation quantization

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Author(s):
Vassilevich, Dmitri [1, 2] ; Costa Oliveira, Fernando Martins [2]
Total Authors: 2
Affiliation:
[1] Tomsk State Univ, Dept Phys, Tomsk 634050 - Russia
[2] Univ Fed ABC, CMCC, Ave Estados 5001, BR-09210580 Santo Andre, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: LETTERS IN MATHEMATICAL PHYSICS; v. 108, n. 10, p. 2293-2301, OCT 2018.
Web of Science Citations: 1
Abstract

We study several classes of non-associative algebras as possible candidates for deformation quantization in the direction of a Poisson bracket that does not satisfy Jacobi identities. We show that in fact alternative deformation quantization algebras require the Jacobi identities on the Poisson bracket and, under very general assumptions, are associative. At the same time, flexible deformation quantization algebras exist for any Poisson bracket. (AU)

FAPESP's process: 16/03319-6 - Non perturbative methods in quantum theory and QFT and their application to actual physical problems
Grantee:Dmitri Maximovitch Guitman
Support Opportunities: Research Projects - Thematic Grants