Renormalization of the spectral action for the Yang-Mills system

Details Renormalization of the spectral action for the Yang-Mills system Renormalization of the spectral action for the Yang-Mills system

2011-01-25

arxiv.org/abs/1101.4804v2

JHEP 1103:146,2011

Physics

Mathematical Physics

6 pages; 4 figures; minor corrections

Scientific paper

10.1007/JHEP03(2011)146

We establish renormalizability of the full spectral action for the Yang-Mills system on a flat 4-dimensional background manifold. Interpreting the spectral action as a higher-derivative gauge theory, we find that it behaves unexpectedly well as far as renormalization is concerned. Namely, a power counting argument implies that the spectral action is superrenormalizable. From BRST-invariance of the one-loop effective action, we conclude that it is actually renormalizable as a gauge theory.

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