TL;DR
This paper explores a model where fermion mass hierarchy and electroweak symmetry breaking arise from strong gauge field distributions and quark condensates, suggesting multiple generations and potential for a fourth generation.
Contribution
It generalizes the symmetry breaking mechanism to include higher field correlators, producing multiple minima for quark bilinears and a realistic fermion mass hierarchy.
Findings
Multiple minima lead to several fermion generations.
Coherent mixing reproduces realistic CKM hierarchy.
Arguments for a possible fourth fermion generation.
Abstract
The hierarchy of fermion masses and EW symmetry breaking without elementary Higgs is studied on the basis of strong gauge field distributions governing the EW dynamics. The mechanism of symmetry breaking due to quark bilinears condensation is generalized to the case, when higher field correlators are present in the EW vacuum. Resulting wave functional yields several minima of quark bilinears, giving masses of three (or more) generations. Mixing is suggested to be due to kink solutions of the same wave functional. For a special form of this mixing ("coherent mixing") a realistic hierarhy of masses and of CKM coefficients is obtained and arguments in favor of the fourth generation are given. Possible important role of topological charges for CP violating phases and small masses of the first generation is stressed.
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