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arXiv · hep-ph/0505231

Dynamical fermion mass generation by a strong Yukawa interaction

Tomas Brauner·Jiri Hosek
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Abstract

We consider a model with global Abelian chiral symmetry of two massless fermion fields interacting with a complex massive scalar field. We argue that the Schwinger-Dyson equations for the fermion and boson propagators admit ultraviolet-finite chiral-symmetry-breaking solutions provided the Yukawa couplings are large enough. The fermions acquire masses and the elementary excitations of the complex scalar field are the two real spin-zero particles with different masses. As a necessary consequence of the dynamical chiral symmetry breakdown both in the fermion and scalar sectors, one massless pseudoscalar Nambu--Goldstone boson appears in the spectrum as a collective excitation of both the fermion and the boson fields. Its effective couplings to the fermion and boson fields are calculable.

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Tomas Brauner, Jiri Hosek. 2005-05-27. Dynamical fermion mass generation by a strong Yukawa interaction. https://doi.org/10.1103/physrevd.72.045007

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