Quantization via Deformation of Prequantization
Mathematical Physics
2015-05-30 v3 math.MP
Abstract
We introduce the notion of a "Souriau bracket" on a prequantum circle bundle over a phase space and explain how a deformation of in the direction of this bracket provides a genuine quantization of .
Cite
@article{arxiv.1108.1385,
title = {Quantization via Deformation of Prequantization},
author = {Christian Duval and Mark J. Gotay},
journal= {arXiv preprint arXiv:1108.1385},
year = {2015}
}
Comments
22 pages. Published version: Reports on Mathematical Physics 70:2 (2012) 361--374