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Field Theories on Modules

Chapter
Part of the Lecture Notes in Physics book series (LNPMGR, volume 51)

Abstract

In this section we shall describe how to construct field theoretical models in the algebraic noncommutative framework developed by Connes. Throughout this Section, the basic ingredient will be a spectral triple \( \left( {\mathcal{A},\mathcal{H},D} \right) \) , D) of dimension n. Associated with it there is the algebra \( \Omega _D \mathcal{A} = \oplus _p \Omega ^p _D \mathcal{A} \) of forms, with exterior differential d, as constructed in Sect. 7.2.

Keywords

Gauge Theory Gauge Group Projective Module Noncommutative Geometry Gauge Potential 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

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