The Spectral Action Principle
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 selfcoupling, to be taken at a fixed high energy scale.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 1997
 DOI:
 10.1007/s002200050126
 arXiv:
 arXiv:hepth/9606001
 Bibcode:
 1997CMaPh.186..731C
 Keywords:

 High Energy Physics  Theory
 EPrint:
 27 pages, Tex file