Nearly associative deformation quantization
Mathematical Physics
2018-11-22 v2 High Energy Physics - Theory
math.MP
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.
Cite
@article{arxiv.1802.05808,
title = {Nearly associative deformation quantization},
author = {D. Vassilevich and F. M. C. Oliveira},
journal= {arXiv preprint arXiv:1802.05808},
year = {2018}
}
Comments
10 pages, v2: a ref. added