Field Theories on Modules

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


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.


Gauge Theory Gauge Group Projective Module Noncommutative Geometry Gauge Potential 
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© Springer-Verlag Berlin Heidelberg 2002

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