acta physica slovaca

Acta Physica Slovaca 62, No.1&2, 1-274 (2012) (274 pages)


Petr Beneš
    Department of Theoretical Physics, Nuclear Physics Institute ASCR, 250 68 Řež, Czech Republic and
    Institute of Experimental and Applied Physics, Czech Technical University, Horská 3a/22, 128 00 Prague 2, Czech Republic

Full text: ::pdf :: (Received 7 May 2012, accepted 29 May 2012)

Abstract: The primary aim of this paper is to explore the possibility of spontaneous symmetry breaking by strong Yukawa dynamics. Technically, the symmetry is assumed to be broken by formation of symmetry-breaking parts of both the scalar and the fermion propagators, rather than by the scalar vacuum expectation values. The idea is first introduced on an example of a toy model with the underlying symmetry being an Abelian one and later applied to a realistic model of electroweak interaction. In addition, the paper also deals with some more general, modelindependent issues, applicable not only to the discussed model of strong Yukawa dynamics, but to a wider class of models with dynamical mass generation. First of these issues is the problem of fermion flavor mixing in the presence of fermion self-energies with a general momentum dependence. It is in particular shown how to define the Cabibbo-Kobayashi-Maskawa matrix in such models and argued that it can come out in principle non-unitary. Second issue is the problem of calculating the gauge boson masses when the symmetry is broken by fermion self-energies. On top of deriving the formula for the gauge boson mass matrix we also find corrections to the related Pagels-Stokar formula.

DOI: 10.2478/v10155-012-0001-2

PACS: 11.15.Ex, 11.15.Tk, 11.30.Qc, 12.15.Ff, 12.15.Hh, 12.60.Fr
Keywords: Spontaneous symmetry breaking, Gauge symmetries, Nonperturbative techniques, Radiative symmetry breaking, Quark and lepton masses, Cabibbo-Kobayashi-Maskawa matrix elements, Extensions of electroweak Higgs sector
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