Bosonic spectral action induced from anomaly cancellation

2010/01/12 by A. A. Andrianov, Fedele Lizzi
Physics and Astronomy · #Action (physics) #Anomaly (physics) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Effective action #Fermion #Mathematical physics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Philosophy #Physics #Quantum #Quantum mechanics #Regularization (linguistics) #Theoretical physics #hep-th

paper · pdf · doi:10.1007/jhep05(2010)057

published as JHEP 1005:057,2010 · 14 pages

arxiv created 2010/01/12 · openalex publication_date 2010/05/01 · arxiv updated 2014/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Vacuum Quantum Fluctuations in Curved Space and the Theory of Gravitation
• A UNITARY INVARIANT IN RIEMANNIAN GEOMETRY
• The standard model in noncommutative geometry and fermion doubling
• ANOTHER ALTERNATIVE TO COMPACTIFICATION: NONCOMMUTATIVE GEOMETRY AND RANDALL–SUNDRUM MODELS
• Early Universe models from Noncommutative Geometry
• Cosmology and the noncommutative approach to the standard model
• The Spectral Action Principle
• An Introduction to Noncommutative Spaces and their Geometry
• Noncommutative gravity