Lorentz violation constrained by triplicity of lepton families and neutrino oscillations

作     者：王海军 

作者机构：Center for Theoretical Physics and School of PhysicsJilin University 

出 版 物：《Chinese Physics C》 (中国物理C（英文版）)

年 卷 期：2009年第33卷第6期

页      面：487-493页

核心收录：

学科分类：0709[理学-地质学] 07[理学] 0708[理学-地球物理学] 0804[工学-仪器科学与技术] 0827[工学-核科学与技术] 0703[理学-化学] 070202[理学-粒子物理与原子核物理] 0704[理学-天文学] 0702[理学-物理学] 

主　　题：Lorentz violation neutrino oscillation lepton-family symmetry 

摘      要：In this paper we postulate an algebraic model to relate the triplet characteristic of lepton families to Lorentz violation. Inspired by the two-to-one mapping between the group SL（2, C） and the Lorentz group via the Pauli grading （the elements of SL（2, C） expressed by direct sum of unit matrix and generators of SU（2） group）, we grade the SL（3,C） group with the generators of SU（3）, i. e. the Gell-Mann matrices, then express the SU（3） group in terms of three SU（2） subgroups, each of which stands for a lepton species and is mapped into the proper Lorentz group as in the case of the group SL（2,C）. If the mapping from group SL（3,C） to the Lorentz group is constructed by choosing one SU（2） subgroup as basis, then the other two subgroups display their impact only by one more additional generator to that of the original Lorentz group. Applying the mapping result to the Dirac equation, it is found that only when the kinetic vertex -γμθ^μ is extended to encompass γ5γμθ^μ can the Dirac-equation-form be conserved. The generalized vertex is useful in producing neutrino oscillations and mass differences.