Inner fluctuations of the spectral action
May, 2006Citations per year
Abstract:
We prove in the general framework of noncommutative geometry that the inner fluctuations of the spectral action can be computed as residues and give exactly the counterterms for the Feynman graphs with fermionic internal lines. We show that for geometries of dimension less or equal to four the obtained terms add up to a sum of a Yang-Mills action with a Chern-Simons action.- Noncommutative geometry
- Spectral action
- Yang-Mills
- Chern-Simons
- differential geometry: noncommutative
- spectral representation
- action: fluctuation
- gauge field theory: Yang-Mills
- Chern-Simons term
- triviality
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