Family Structure from Periodic Solutions of an Improved Gap Equation


Authors: Andreas Blumhofer and Marcus Hutter
Comments: 19 pages, 8 figures
Report-no: LMU-05/96
Journal-ref: Nucl.Phys. B484 (1997) 80-96; B494 (1997) 485

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 discussed. The mass ratios turn out to be approximately epi and e2·pi. Thus the model explains the large ratios of fermion masses between successive generations in the Standard Model without introducing large or small numbers by hand.


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BibTeX Entry

@Article{Hutter:97family,
  author =       "Andreas Blumhofer and Marcus Hutter",
  title =        "Family Structure from Periodic Solutions of an Improved Gap Equation",
  journal =      "Nuclear Physics",
  volume =       "B484",
  year =         "1997",
  pages =        "80--96",
  url =          "http://arxiv.org/abs/hep-ph/9605393",
  url2 =         "http://www.hutter1.net/physics/pfamily.htm",
  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 discussed. The mass ratios
                  turn out to be approximately e^pi and e^2pi. Thus the model explains
                  the large ratios of fermion masses between successive generations in
                  the Standard Model without introducing large or small numbers by hand.",
  note =         "Missing figures in B494 (1997) 485",
}