Dynamical fermion mass generation by a strong Yukawa interaction
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.
Cite
@article{arxiv.hep-ph/0505231,
title = {Dynamical fermion mass generation by a strong Yukawa interaction},
author = {Tomas Brauner and Jiri Hosek},
journal= {arXiv preprint arXiv:hep-ph/0505231},
year = {2007}
}
Comments
9 pages, REVTeX4, uses feynmp, 1 eps figure