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Differential algebras in non-commutative geometry

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 May 1995Embargo end date: 01 Jan 1993 English Publisher:Elsevier BVJournal:Journal of Geometry and Physics, volume 16, pages 149-167 (issn: 0393-0440,

Authors: J. M. Warzecha; N.A. Papadopoulos; J. Plass; W. Kalau;

doi: 10.1016/0393-0440(94)00025-y , 10.48550/arxiv.hep-th/9311121

arXiv: http://arxiv.org/abs/hep-th/9311121

Differential algebras in non-commutative geometry

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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 $\otimes$ 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.

21 pages

Related Organizations

Johannes Gutenberg University of Mainz
Germany

Keywords

High Energy Physics - Theory, Symmetry breaking in quantum theory, differential algebras, spontaneous symmetry breaking, FOS: Physical sciences, matrix algebra, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Connes' approach to Yang-Mills theories, Noncommutative differential geometry, skew tensor products of differential forms

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