Formal Developments for Lorentz-Violating Dirac Fermions and Neutrinos

被引：3
作者：
Andrade de Simoes dos Reis, Joao Affieres [1 ,2 ]
Schreck, Marco [1 ]
机构：
[1] Univ Fed Maranhao, Dept Fis, Campus Univ Bacanga, BR-65080805 Sao Luis, MA, Brazil
[2] Univ Estadual Maranhao, Dept Fis, Ctr Educ Ciencias Exatas & Nat, Cidade Univ Paulo VI, BR-65055310 Sao Luis, MA, Brazil
来源：
SYMMETRY-BASEL | 2019年 / 11卷 / 10期
关键词：
Lorentz and CPT violation; Standard-Model Extension; Dirac fermions; Dirac neutrinos; Majorana neutrinos; determinants of block matrices; CPT VIOLATION;
D O I：
10.3390/sym11101197
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The current paper is a technical work that is focused on Lorentz violation for Dirac fermions as well as neutrinos, described within the nonminimal Standard-Model Extension. We intend to derive two theoretical results. The first is the full propagator of the single-fermion Dirac theory modified by Lorentz violation. The second is the dispersion equation for a theory of N neutrino flavors that enables the description of both Dirac and Majorana neutrinos. As the matrix structure of the neutrino field operator is very involved for generic N, we will use sophisticated methods of linear algebra to achieve our objectives. Our main finding is that the neutrino dispersion equation has the same structure in terms of Lorentz-violating operators as that of a modified single-fermion Dirac theory. The results will be valuable for phenomenological studies of Lorentz-violating Dirac fermions and neutrinos.
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页数：16
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