1997
DOI: 10.1016/s0550-3213(96)00644-x
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Family structure from periodic solutions of an improved gap equation

Abstract: Fermion mass models usually contain a horizontal symmetry and therefore fail to predict the exponential mass spectrum of the Standard Model in a natural way. In dynamical symmetry breaking there are different concepts to introduce a fermion mass spectrum, which automatically has the desired hierarchy. In constructing a specific model we show that in some modified gap equations periodic solutions with several fermion poles appear. The stability of these excitations and the application of this toy model are disc… Show more

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Cited by 8 publications
(4 citation statements)
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“…There is no experiment indicating any limitation (precision, coverage). It has about 20 unexplained parameters (mostly masses and coupling constants) that have to be (and are) experimentally determined (although some regularities can be explained [BH97]). The effective theories of the previous paragraph can be regarded as approximations of SM, hence SM, although founded on a subatomic level, also predicts medium scale phenomena.…”
Section: Theories Of Something Everything and Nothingmentioning
confidence: 99%
“…There is no experiment indicating any limitation (precision, coverage). It has about 20 unexplained parameters (mostly masses and coupling constants) that have to be (and are) experimentally determined (although some regularities can be explained [BH97]). The effective theories of the previous paragraph can be regarded as approximations of SM, hence SM, although founded on a subatomic level, also predicts medium scale phenomena.…”
Section: Theories Of Something Everything and Nothingmentioning
confidence: 99%
“…P is a mixture of a few relatively elegant theories, but contains about 20 unexplained parameters that need to be specified (although some regularities can be explained [BH97]). String theory is truly elegant, but ensuring that it reduces to P needs sophisticated extra assumptions (e.g.…”
Section: Standard Model Versus String Theorymentioning
confidence: 99%
“…Therefore the characterization of their strata is important in particular because they might correspond to a multiplicity of condensate backgrounds or potential minima. A multiplicity of backgrounds might lead to a multiplicity of solutions in the (Schwinger-Dyson) gap equation for fermion mass generation [6] [7]. The nature of the gauge strata in the nonabelian lattice theories will be analyzed.…”
Section: Introductionmentioning
confidence: 99%