Bosonic Spectral Action Induced from Anomaly Cancelation

Abstract

We show how (a slight modification of) the noncommutative geometry bosonic spectral action can be obtained by the cancelation of the scale anomaly of the fermionic action. In this sense the standard model coupled with gravity is induced by the quantum nature of the fermions. The regularization used is very natural in noncommutative geometry and puts the bosonic and fermionic action on a similar footing.

14 pages

References in corpus (2)

• Noncommutative Gravity
• Early Universe models from Noncommutative Geometry

Cited by in corpus (15)

• Noncommutative Geometry as a Framework for Unification of all Fundamental Interactions including Gravity. Part I
• Grand Symmetry, Spectral Action, and the Higgs mass
• High energy bosons do not propagate
• Spectral action beyond the weak-field approximation
• Metric Properties of the Fuzzy Sphere
• Spectral action with zeta function regularization
• Spectral action, Weyl anomaly and the Higgs-Dilaton potential
• Spectral Regularisation: Induced Gravity and the Onset of Inflation
• Spectral action for torsion with and without boundaries
• Spectral Noncommutative Geometry, Standard Model and all that
• Dynamically emergent gravity from hidden local Lorentz symmetry
• Clifford Structures in Noncommutative Geometry and the Extended Scalar Sector
• Unification of Coupling Constants, Dimension six Operators and the Spectral Action
• Dimensional Deception from Noncommutative Tori: An alternative to Horava-Lifschitz
• Spectral Action and Gravitational effects at the Planck scale