论文标题

通过Clifford代数弱相互作用的手性不对称性

Chiral asymmetry in the weak interaction via Clifford Algebras

论文作者

Stoica, Ovidiu Cristinel

论文摘要

尽管取得了巨大的成功,但粒子物理的标准模型并不能解释为什么弱相互作用会破坏手性对称性。各种统一的理论使我们更接近一个答案,但通常的解释包括标记$ \ operatatorName {su}(2)(2)_w $ singlet表示为右手,而左手的双重表则是doublet。这本身并不能确保手性偏好,因为在狄拉克旋转器中产生的手性本身并不是内部仪表群表示的特性。需要比单纯的标签更深的东西。在本文中,审查了使用外部和克利福德代数的某些进展,并提出了手性不对称的可能解释。在上一篇文章中提出的模型中,它显示了这种解决方案是如何存在的。

Despite its tremendous success, the Standard Model of particle physics does not explain why the weak interaction breaks chiral symmetry. Various unified theories got us closer to an answer, but too often the explanation consists of labeling the $\operatorname{SU}(2)_w$ singlet representations as right-handed, and the doublet ones as left handed. This by itself does not ensure a chiral preference, because chirality itself, arising in the Dirac spinors, is not a property of the internal gauge group representations. Something deeper than mere labeling is required. In this paper, some of the progress using exterior and Clifford algebras is reviewed, and a possible explanation for chiral asymmetry is presented. It is shown how such a solution is present, rather implicitly, in a model proposed in a previous article.

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