Dynamical generation of field mixing via flavor vacuum condensate
M. Blasone (Dipartimento di Fisica, Università di Salerno, Via Giovanni Paolo II, 132 84084 Fisciano, Italy & INFN Sezione di Napoli, Gruppo collegato di Salerno, Italy); P. Jizba (FNSPE, Czech Technical University in Prague, Břehová 7, 115 19 Praha 1, Czech Republic, ITP, Freie Universität Berlin, Arnimallee 14, D-14195 Berlin, Germany); N. E. Mavromatos (Theoretical Particle Physics and Cosmology Group, Department of Physics, King’s College London, Strand WC2R 2LS, United Kingdom); L. Smaldone (Dipartimento di Fisica, Università di Salerno, Via Giovanni Paolo II, 132 84084 Fisciano, Italy & INFN Sezione di Napoli, Gruppo collegato di Salerno, Italy)
In this paper we study dynamical chiral symmetry breaking of a generic quantum field theoretical model with global 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.
