Abstract
In this chapter we will study our early attempt [1] to formulate a model of dynamical quark and lepton mass generation. For the purpose of this thesis, it will serve as a playground for investigating directly the dynamical formation of fermion masses from the underlying dynamics and for studying possibilities of achieving the fermion mass hierarchy.
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- 1.
Sometimes we deliberately suppress the square power in momentum argument for the sake of saving a place in the following Schwinger–Dyson equations. The actual dependence on either \(p^2\) or \(p^\mu \) should be clear from the corresponding definition of a given function.
- 2.
In the following we will use the index \(X\) to label all three types of anomalous scalar self-energies \(N,S,NS\). When it is necessary to denote just the scalars \(N,S\) we will use the label \(Y\).
References
P. Beneš, T. Brauner, A. Smetana, Dynamical electroweak symmetry breaking due to strong Yukawa interactions. J. Phys. G36, 115004 (2009). arXiv:0806.2565
Y. Nambu, G. Jona-Lasinio, Dynamical model of elementary particles based on an analogy with superconductivity. I, Phys. Rev. 122, 345–358 (1961)
J.M. Cornwall, R. Jackiw, E. Tomboulis, Effective action for composite operators. Phys. Rev. D 10, 2428–2445 (1974)
P. Beneš, Dynamical symmetry breaking in models with strong Yukawa interactions, Acta Phys. Slov. 62 1–274 (2012). arXiv:1208.1889
P. Beneš, T. Brauner, J. Hošek, Dynamical breakdown of abelian gauge chiral symmetry by strong Yukawa interactions. Phys. Rev. D 75, 056003 (2007). hep-ph/0605147
J.M. Cornwall, R.E. Norton, Spontaneous symmetry breaking without scalar meson. Phys. Rev. D 8, 3338–3346 (1973)
T. Brauner, J. Hošek, Dynamical fermion mass generation by a strong Yukawa interaction. Phys. Rev. D 72, 045007 (2005). hep-ph/0505231
J. Bardeen, L.N. Cooper, J.R. Schrieffer, Theory of superconductivity. Phys. Rev. 108, 1175–1204 (1957)
Y. Imry, in Self Consistent Pairing Theory of the Bose Superfluids, ed. by N. Wiser, D.J. Amit Quantum Fluids, Proceedings of the Batsheva Seminar, Haifa, 1968, pp. 603–614, (Gordon and Breach, New York, 1970)
E.A. Pashitskii, S.V. Mashkevich, S.I. Vilchynskyy, Superfluid bose liquid with a suppressed bec and an intensive pair coherent condensate as a model of \(^{4}\mathit{He}\). Phys. Rev. Lett. 89, 075301 (2002)
A.S. Alexandrov, Condensed phase of converting boson-fermion mixtures (2004). cond-mat/0402123
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Smetana, A. (2014). Model of Strong Yukawa Dynamics. In: Electroweak Symmetry Breaking. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-07073-5_4
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DOI: https://doi.org/10.1007/978-3-319-07073-5_4
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