Renormalizability conditions for almost-commutative geometries
High Energy Physics - Theory
2015-06-04 v1
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.
Cite
@article{arxiv.1204.4070,
title = {Renormalizability conditions for almost-commutative geometries},
author = {Walter D. van Suijlekom},
journal= {arXiv preprint arXiv:1204.4070},
year = {2015}
}
Comments
7 pages. To appear in Phys. Lett. B