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arXiv 1607.01618hep-phhep-th
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自旋电荷族理论提供了对标准模型中三角反常相消的理解

The spin-charge-family theory offers understanding of the triangle anomalies cancellation in the standard model

Norma Susana Mankoč Borštnik, Holger Bech Nielsen

备注：
There are several papers in this arxiv, apearing sequentially, the author of which is N. Mankoč Borštnik. The previous one with the title "Spin-charge-family theory is offering next step in understanding elementary particles and fields and correspondingly universe, making several predictions" includes one section with the topic of the present paper. 26 pages
发表信息：
Fortschrite der Physik, Progress of Physisics, 2017, 1700046. p1-13
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摘要：

标准模型对于无质量夸克和轻子“奇迹般地”没有三角形异常，这是因为所有可能迹的和$Tr [τ^{Ai}$ $ τ^{Bj}$ $ τ^{Ck}]$ -其中$τ^{Ai}, τ^{Bi}$和$τ^{Ck}$是1的生成元，两个或三个组$SU(3), SU(2)$和$U(1)$ -在一个家庭的左手费米子和反费米子的表示（并且分别是右手费米子和反费米子），对三角电流有贡献，等于零。本文证明了，如果$SO(3,1), SU(2), U(1)$和$ SU(3)$是正交群$SO(13,1)$的子群，就象自旋-电荷族理论中那样，这种标准模型三角形反常的消除是直接的。我们评论$SO(10)$异常取消，它的作品，如果利手和收费相关的“手”。

英文摘要：

The standard model has for massless quarks and leptons "miraculously" no triangle anomalies due to the fact that the sum of all possible traces $Tr [τ^{Ai}$$ τ^{Bj}$$ τ^{Ck}]$ --- where $τ^{Ai}, τ^{Bi}$ and $τ^{Ck}$ are the generators of one, of two or of three of the groups $SU(3), SU(2)$ and $U(1)$ --- over the representations of one family of the left handed fermions and anti-fermions (and separately of the right handed fermions and anti-fermions), contributing to the triangle currents, is equal to zero. It is demonstrated in this paper that this cancellation of the standard model triangle anomaly follows straightforwardly if the $SO(3,1), SU(2), U(1)$ and $ SU(3)$ are the subgroups of the orthogonal group $SO(13,1)$, as it is in the spin-charge-family theory. We comment on the $SO(10)$ anomaly cancellation, which works if handedness and charges are related "by hand".

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