Dynamical generation of field mixing via flavor vacuum condensate

In this paper we study dynamical chiral symmetry breaking of a generic quantum field theoretical model with global SUð2ÞL × SUð2ÞR × Uð1ÞV symmetry. By purely algebraic means we analyze the vacuum structure for different symmetry breaking schemes and show explicitly how the ensuing nontrivial flavor vacuum condensate, originally introduced in connection with neutrino oscillations, characterizes the dynamical generation of field mixing. In addition, with the help of Ward–Takahashi identities we demonstrate the emergence of the correct number of Nambu–Goldstone modes in the physical spectrum.