arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 0907.2332hep-ph
收藏

连续味对称破缺的非阿贝尔离散群

Non-Abelian Discrete Groups from the Breaking of Continuous Flavor Symmetries

A. Adulpravitchai, A. Blum, M. Lindner

摘要:

我们讨论了通过自发对称性破缺从一个潜在的连续的、可能规范的味对称SU(2)或SU(3)得到一个非阿贝尔离散味对称的可能性。我们考虑所有可能的情况下,连续的对称性被打破的小表示。“小”表示是那些以主导顺序耦合到标准模型费米子的表示,这些费米子变换为味群的二维或三维表示。我们发现,在有限的表示内容下,唯一能作为剩余对称出现的非阿贝尔离散群是四元数群D_2 '。

英文摘要:

We discuss the possibility of obtaining a non-abelian discrete flavor symmetry from an underlying continuous, possibly gauged, flavor symmetry SU(2) or SU(3) through spontaneous symmetry breaking. We consider all possible cases, where the continuous symmetry is broken by small representations. "Small" representations are these which couple at leading order to the Standard Model fermions transforming as two- or three-dimensional representations of the flavor group. We find that, given this limited representation content, the only non-abelian discrete group which can arise as a residual symmetry is the quaternion group D_2'.

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。

↑