Deformation quantization of Poisson manifolds in the derivative expansion
High Energy Physics - Theory
2009-12-04 v3 Mathematical Physics
math.MP
Abstract
Deformation quantization of Poisson manifolds is studied within the framework of an expansion in powers of derivatives of Poisson structures. We construct the Lie group associated with a Poisson bracket algebra which defines a second order deformation in the derivative expansion.
Keywords
Cite
@article{arxiv.hep-th/0512065,
title = {Deformation quantization of Poisson manifolds in the derivative expansion},
author = {A. V. Bratchikov},
journal= {arXiv preprint arXiv:hep-th/0512065},
year = {2009}
}
Comments
7 pages,minor corrections; v3: details added