Inner fluctuations of the spectral action
High Energy Physics - Theory
2008-11-26 v3 Operator Algebras
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.hep-th/0605011,
title = {Inner fluctuations of the spectral action},
author = {Alain Connes and Ali H. Chamseddine},
journal= {arXiv preprint arXiv:hep-th/0605011},
year = {2008}
}
Comments
18 pages, 4 figures Equation 1.6 corrected