Dynamical fermion mass generation by a strong Yukawa interaction

Details Dynamical fermion mass generation by a strong Yukawa interaction Dynamical fermion mass generation by a strong Yukawa interaction

2005-05-27

arxiv.org/abs/hep-ph/0505231v1

Phys.Rev. D72 (2005) 045007

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, REVTeX4, uses feynmp, 1 eps figure

Scientific paper

10.1103/PhysRevD.72.045007

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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