Thursday, April 19, 2012

1204.4070 (Walter D. van Suijlekom)

Renormalizability conditions for almost-commutative geometries    [PDF]

Walter D. van Suijlekom
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.
View original: http://arxiv.org/abs/1204.4070

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