Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-05-12
Phys.Rev.D75:056003,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages, REVTeX4, 10 eps figures; additional remarks and references added; version published in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.75.056003
We consider a model with anomaly-free Abelian gauge axial-vector symmetry, which is intended to mimic the standard electroweak gauge chiral SU(2)_L x U(1)_Y theory. Within this model we demonstrate: (1) Strong Yukawa interactions between massless fermion fields and a massive scalar field carrying the axial charge generate dynamically the fermion and boson proper self-energies, which are ultraviolet-finite and chirally noninvariant. (2) Solutions of the underlying Schwinger-Dyson equations found numerically exhibit a huge amplification of the fermion mass ratios as a response to mild changes of the ratios of the Yukawa couplings. (3) The `would-be' Nambu-Goldstone boson is a composite of both the fermion and scalar fields, and it gives rise to the mass of the axial-vector gauge boson. (4) Spontaneous breakdown of the gauge symmetry further manifests by mass splitting of the complex scalar and by new symmetry-breaking vertices, generated at one loop. In particular, we work out in detail the cubic vertex of the Abelian gauge boson.
Benes Petr
Brauner Tomáš
Hosek Jiri
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