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Communications in Mathematical Physics

, Volume 186, Issue 3, pp 731–750 | Cite as

The Spectral Action Principle

  • A. H. Chamseddine
  • A. Connes

Abstract:

We propose a new action principle to be associated with a noncommutative space \(\). The universal formula for the spectral action is \(\) where \(\) is a spinor on the Hilbert space, \(\) is a scale and \(\) a positive function. When this principle is applied to the noncommutative space defined by the spectrum of the standard model one obtains the standard model action coupled to Einstein plus Weyl gravity. There are relations between the gauge coupling constants identical to those of SU(5) as well as the Higgs self-coupling, to be taken at a fixed high energy scale.

Keywords

Hilbert Space Energy Scale Positive Function Model Action Gauge Coupling 
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 1997

Authors and Affiliations

  • A. H. Chamseddine
    • 1
  • A. Connes
    • 2
  1. 1.Theoretische Physik, ETH-Hönggerberg, CH-8093 Zürich, Switzerland CH
  2. 2.I.H.E.S., F-91440, Bures-sur-Yvette, FranceFR

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