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.

9 pages, REVTeX4, uses feynmp, 1 eps figure

References in corpus (1)

• Analytical approach to chiral symmetry breaking in Minkowsky space

Cited by in corpus (8)

• Goldstone bosons in presence of charge density
• Spontaneous symmetry breakings in the singlet scalar Yukawa model within the auxiliary field method
• Fermion family recurrences in the Dyson-Schwinger formalism
• Dynamical breakdown of Abelian gauge chiral symmetry by strong Yukawa interactions
• Pseudo-Goldstone excitations in chiral Yukawa-theories with quadratic explicit symmetry breaking
• Dynamical symmetry breaking in models with strong Yukawa interactions
• Dynamical Mass Generation in Wick Cutkosky Model
• Spontaneous symmetry breaking in strong and electroweak interactions