Springer Theses-Recognizing Outstanding PhD Research

0434582 - ÚJF 2015 RIV DE eng M - Monography Chapter
Hošek, Jiří - Smetana, Adam
Approximate Methods of Solving Schwinger-Dyson Equations.
Springer Theses-Recognizing Outstanding PhD Research. Berlin: Springer, 2014, s. 131-152. ISBN 978-3-319-07072-8
R&D Projects: GA ČR GA202/06/0734; GA MŠMT LA08015; GA MŠMT LA08032
Institutional support: RVO:61389005
Keywords : dynamical electroweak symmetry breaking * top-quark condensation * neutriono condensation * strong Yukawa dynamics * flavor gauge dynamics
Subject RIV: BE - Theoretical Physics

The aim of the thesis is to study models of the electroewak symmetry breaking caused by dynamically generated masses of quarks and leptons. We perform the basic analysis whether the main underlying idea, that the masses of only known fermions can provide the electroweak symmetry breaking, is actually feasible. For that we elaborate a two-compsite-higgs-doublet model of the top-quark and neutrino condensation. The model suggests rather large number of right-handed neutrinos. We analyze the model of stron Yukawa dynamics where the dynamical fermion mass generation is provided by exchanges of new elementary massive complex doublet scalar fields. We focus on solving the coupled Schwinger-Dyson equations for fermion and scalar self-energies by means of approximative methods. We document that strongly hierarchical mass spectra can be reproduced. We elaborate the flavor gauge model where the dynamical fermion mass generation is provided by asymptotically free non-Abelian self-breaking flavor gauge dynamics. We show that the Majorana type condensation of righ-handed neutrinos in the flavor sextet representaion triggers the complete flavor symmetry breaking.
Permanent Link: http://hdl.handle.net/11104/0238607