Noncommutative field theories from a deformation point of view
Quantum Algebra
2007-10-12 v1 Mathematical Physics
math.MP
Abstract
In this review we discuss the global geometry of noncommutative field theories from a deformation point of view: The space-times under consideration are deformations of classical space-time manifolds using star products. Then matter fields are encoded in deformation quantizations of vector bundles over the classical space-time. For gauge theories we establish a notion of deformation quantization of a principal fiber bundle and show how the deformation of associated vector bundles can be obtained.
Keywords
Cite
@article{arxiv.0710.2140,
title = {Noncommutative field theories from a deformation point of view},
author = {Stefan Waldmann},
journal= {arXiv preprint arXiv:0710.2140},
year = {2007}
}
Comments
19 pages. Contribution to the Proceedings of the Leipzig Conference "Recent Developments in Quantum Field Theory"