Speaker
Mr
Petr Benes
(Department of Theoretical Physics, Nuclear Physics Institute, Rez near Prague, Czech Republic)
Description
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.
Based on Phys.Rev. D75 (2007) 056003 (arXiv:hep-ph/0605147).
Authors
Dr
Jiri Hosek
(Department of Theoretical Physics, Nuclear Physics Institute, Rez near Prague, Czech Republic)
Mr
Petr Benes
(Department of Theoretical Physics, Nuclear Physics Institute, Rez near Prague, Czech Republic)
Dr
Tomas Brauner
(Department of Theoretical Physics, Nuclear Physics Institute, Rez near Prague, Czech Republic)