Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-11-07
Int.J.Mod.Phys.A22:2469-2492,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
21 pages, no figure
Scientific paper
10.1142/S0217751X07036646
In third quantization the origin of fermion families is easy to understand: the electron field, the muon field and the tau field are identical fields in precisely the same sense as three electrons are identical and undistinguishable particles of a theory of second quantization. In both cases, the permutation of these fields or particles leaves the lagrangian invariant. One can also extend the concept of family to gauge bosons. This can be obtained through the semidirect product of the gauge group with the group of permutations of n objects. In this paper we have studied the group E_6^4 x S_4. We explain why we have chosen E_6 as fundamental gauge group factor and why we start with a model with four gauge boson/fermion families to accommodate and to fit the standard model with only three fermion families. We suggest a possible symmetry breaking pattern of E_6^4 x S_4 that could explain quark, lepton and neutrino masses and mixings.
Caravaglios Francesco
Morisi Stefano
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