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• W1804242550 abstract "We introduce and analyze a system of relativistic fermions in a space-time continuum, which interact via an action principle as previously considered in a discrete space-time. The model is defined by specifying the vacuum as a sum of Dirac seas corresponding to several generations of elementary particles. The only free parameters entering the model are the fermion masses. We find dynamical field equations if and only if the number of generations is at least three. If the number of generations equals three, the dynamics is described by a massive axial potential coupled to the Dirac spinors. The coupling constant and the rest mass of the axial field depend on the regularization; for a given regularization method they can be computed as functions of the fermion masses. The bosonic mass term arises as a consequence of a symmetry breaking effect, giving an alternative to the Higgs mechanism. In addition to the standard loop corrections of quantum field theory, we find new types of correction terms to the field equations which violate causality. These non-causal corrections are too small for giving obvious contradictions to physical observations, but they might open the possibility to test the approach in future experiments." @default.
• W1804242550 created "2016-06-24" @default.
• W1804242550 creator A5062008286 @default.
• W1804242550 date "2016-01-01" @default.
• W1804242550 modified "2023-10-12" @default.
• W1804242550 title "An Action Principle for an Interacting Fermion System and Its Analysis in the Continuum Limit" @default.
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• W1804242550 doi "https://doi.org/10.1007/978-3-319-42067-7_3" @default.
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