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The continuum limit of a Fermion system involving neutrinos: weak and gravitational interactions

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Finster, Felix
Date of publication of this fulltext: 13 Mar 2013 09:55


We analyze the causal action principle for a system of relativistic fermions composed of massive Dirac particles and neutrinos. In the continuum limit, we obtain an effective interaction described by a left-handed, massive SU(2)-gauge field and a gravitational field. The off-diagonal gauge potentials involve a unitary mixing matrix, which is similar to the Maki-Nakagawa-Sakata matrix in the standard model.

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