2011/01/31 by Walter D. van Suijlekom · 1 citation
Mathematics · Physics and Astronomy · #hep-th #math-ph #math.MP
paper · pdf · doi:10.1007/jhep03(2011)146
published as JHEP 1103:146,2011 · 6 pages; 4 figures; minor corrections
arxiv created 2011/02/08 · arxiv updated 2011/04/05
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.