Differential Algebras in Non-Commutative Geometry
High Energy Physics - Theory
2009-10-22 v2 Quantum Algebra
Abstract
We discuss the differential algebras used in Connes' approach to Yang-Mills theories with spontaneous symmetry breaking. These differential algebras generated by algebras of the form functions matrix are shown to be skew tensorproducts of differential forms with a specific matrix algebra. For that we derive a general formula for differential algebras based on tensor products of algebras. The result is used to characterize differential algebras which appear in models with one symmetry breaking scale.
Cite
@article{arxiv.hep-th/9311121,
title = {Differential Algebras in Non-Commutative Geometry},
author = {W. Kalau and N. A. Papadopoulos and J. Plass and J. -M. Warzecha},
journal= {arXiv preprint arXiv:hep-th/9311121},
year = {2009}
}
Comments
21 pages