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A Dynamical Interpretation of Connes' Unimodularity Condition in Standard Model and Majorana Neutrino

Katsusada Morita·Yoshitaka Okumura
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Abstract

Standard model is minimally extended using the unitary group $G'=U(3)\times SU(2)\times U(1)$ of Connes' color-flavor algebra. In place of Connes' unimodularity condition an extra Higgs is assumed to spontaneously break $G'$ down to standard model gauge group. It is shown that the theory becomes anomaly-free only if right-handed neutrino is present in each generation. It is also shown that the extra Higgs gives rise to large Majorana mass of right-handed neutrino and the model contains new vectorial neutral current.

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Katsusada Morita, Yoshitaka Okumura. 2004-09-21. A Dynamical Interpretation of Connes' Unimodularity Condition in Standard Model and Majorana Neutrino. https://arxiv.org/abs/hep-th/0409211

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