A framework for dynamical generation of flavor mixing

16th Symmetries in Science

Blasone, M.^1 ; Jizba, P.^2 ; Lambiase, G.^1 ; Mavromatos, N.E.^3

INFN, Università di Salerno, Via Giovanni Paolo II, Fisciano

SA

132-84084, Italy^1

FNSPE, Czech Technical University in Prague, Behová 7, Praha 1

115 19, Czech Republic^2

Theoretical Particle Physics and Cosmology Group, Physics Department, King's College London, Strand-London

WC2R 2LS, United Kingdom^3

关键词: Dynamical mechanisms;    Interacting fermions;    Mass generation;    Physical nature;    The standard model;    Vacuum structures;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/538/1/012003/pdf
DOI  :  10.1088/1742-6596/538/1/012003

来源: IOP

【 摘 要 】

We present a dynamical mechanism à la Nambu-Jona-Lasinio [1] 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. [2], 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 [3] 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.