Anomaly Cancellation and gauge group of the standard model in NCG

Details Anomaly Cancellation and gauge group of the standard model in NCG Anomaly Cancellation and gauge group of the standard model in NCG

1995-06-19

arxiv.org/abs/hep-th/9506115v2

Phys.Lett. B364 (1995) 33-40

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, plain TeX.(TeX errors fixed)

Scientific paper

10.1016/0370-2693(95)01051-3

It is well known that anomaly cancellation {\it almost} determines the hypercharges in the standard model. A related (and somewhat more stronger) phenomenon takes place in Connes' NCG framework: unimodularity (a technical condition on elements of the algebra) is {\it strictly} equivalent to anomaly cancellation (in the absence of right-handed neutrinos); and this in turn reduces the symmetry group of the theory to the standard $SU(3)\times SU(2) \times U(1)$.

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