Deformation quantization on jet manifolds
Mathematical Physics
2016-02-12 v1 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
Deformation quantization conventionally is described in terms of multidifferential operators. Jet manifold technique is well-known provide the adequate formulation of theory of differential operators. We extended this formulation to the multidifferential ones, and consider their infinite order jet prolongation. The infinite order jet manifold is endowed with the canonical flat connection that provides the covariant formula of a deformation star-product.
Cite
@article{arxiv.1512.06047,
title = {Deformation quantization on jet manifolds},
author = {G. Sardanashvily and A. Zamyatin},
journal= {arXiv preprint arXiv:1512.06047},
year = {2016}
}
Comments
55 pages