A framework for dynamical generation of flavor mixing

Abstract

We present a dynamical mechanism à la Nambu--Jona-Lasinio for the generation of masses and mixing for two interacting fermion fields. The analysis is carried out in the framework introduced long ago by Umezawa et al., in which mass generation is achieved via inequivalent representations, and that we generalize to the case of two generations. The method allows a clear identification of the vacuum structure for each physical phase, confirming previous results about the distinct physical nature of the vacuum for fields with definite mass and fields with definite flavor. Implications for the leptonic sector of the Standard Model are briefly discussed.

13 pages. Presented at "Symmetries in Science XVI, Bregenz 2013"

References in corpus (5)

• High-resolution measurement of the time-modulated orbital electron capture and of the ${\beta }^{+}$ decay of hydrogen-like ${}^{142}$Pm${}^{60+}$ ions
• Flavour Condensates in Brane Models and Dark Energy
• Towards a microscopic construction of flavour vacua from a space-time foam model
• Non-abelian gauge structure in neutrino mixing
• Physical flavor neutrino states

Cited by in corpus (4)

• Dynamical generation of field mixing via flavor vacuum condensate
• On the role of the rotations and Bogoliubov transformations in neutrino mixing
• Some non-trivial aspects of Poincaré and CPT invariance of flavor vacuum
• Generalized generating functional for mixed-representation Green's functions: A quantum mechanical approach