Spectral action beyond the weak-field approximation

Details Spectral action beyond the weak-field approximation Spectral action beyond the weak-field approximation

2011-08-18

arxiv.org/abs/1108.3749v1

Physics

High Energy Physics

High Energy Physics - Theory

17 pages

Scientific paper

The spectral action for a non-compact commutative spectral triple is computed
covariantly in a gauge perturbation up to order 2 in full generality. In the
ultraviolet regime, $p\to\infty$, the action decays as $1/p^4$ in any even
dimension. This shows, in particular, that recent claims of
super-renormalizability of the Yang-Mills spectral action are unfounded.

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