General electrodynamics of non-abelian vector bosons of $SU(2)$

Pramana: Journal of physics

M T TELI^1¹ 

[1]Department of Applied Sciences, Mahatma Gandhi Mission’s Jawaharlal Nehru Engineering College, Cidco, Aurangabad 431 005, India^1

关键词: Non-abelian bosodynamics;    Noether’s theorem;    nuclear structure;    eigenvalue problem;    bradyon vector bosons;    tachyon vector bosons;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Generalised Dirac–Maxwell equations (GDM) are extended to describe non-abelian vector bosons by forming $SU(2)$ multiplet. Noether’s conserved current is investigated by forming suitable Lagrangian for thetheory. General electrodynamics (GED) equations are obtained as Euler–Lagrange equations. Higgs mechanism leads to eigenvalue problem with masses of the bosons as eigenvalues. The sources of the fields have only improper conservation. Analogous to abelian vector bosons, non-abelian vector bosons also are seen to have nuclear structure with massive nucleus. There occur two types of $SU(2)$ sheets, each of three non-abelian vector bosons: one group contains one bradyon and two tachyon vector bosons, whereas the other group contains one tachyon and two bradyon vector bosons. Physical $Z$ and $W$ bosons are formed from the eigenvectors of $U(1)$ and $SU(2)$. The $Z$ and $W$ bosons do not have the same coupling strengths in $SU(2)$.

【 授权许可】

CC BY