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arXiv 2005.08855hep-thmath.RT
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利用Clifford代数研究弱相互作用中的手征不对称性

Chiral asymmetry in the weak interaction via Clifford Algebras

Ovidiu Cristinel Stoica

摘要:

尽管粒子物理学标准模型取得了巨大成功,但它并没有解释为什么弱相互作用会破坏手征对称性。各种统一理论使我们更接近一个答案,但太多的解释包括将$\operatorname{SU}(2)_w$单线态表示标记为右手,而将双线态表示标记为左手。这本身并不能保证手征性的优先性,因为手征性本身,产生于狄拉克旋量,并不是内规范群表象的性质。需要比单纯的标签更深层次的东西。本文综述了利用外代数和Clifford代数研究手征不对称性的一些进展,并给出了手征不对称性的一种可能的解释。它显示了这样的解决方案是如何存在的,而不是隐含的,在以前的文章中提出的模型。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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