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arXiv · 1204.4070

Renormalizability conditions for almost-commutative geometries

Walter D. van Suijlekom
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Abstract

We formulate conditions for almost-commutative (spacetime) manifolds under which the asymptotically expanded spectral action is renormalizable. These conditions are of a graph-theoretical nature, involving the Krajewski diagrams that classify such geometries. This applies in particular to the Standard Model of particle physics, giving a graph-theoretical argument for its renormalizability. A promising potential application is in the selection of physical (renormalizable) field theories described by almost-commutative geometries, thereby going beyond the Standard Model.

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Walter D. van Suijlekom. 2012-04-18. Renormalizability conditions for almost-commutative geometries. https://doi.org/10.1016/j.physletb.2012.04.040

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