arXiv 2108.073672021-08-16hep-thhep-ph

强CP问题与高维规范理论

The strong CP problem and higher dimensional gauge theories

Yuki Adachi, C. S. Lim, Nobuhito Maru

备注：: 17 pages, 1 figure
发表信息：: Prog Theor Exp Phys (2022)
DOI：: 10.1093/ptep/ptac070

摘要：

在高维规范理论的框架下讨论了解决强CP问题的一个自然方案。作为高维规范场的空间外分量，引入了类轴子场$A_y$。$A_y$与胶子的耦合归因于辐射诱导的“Chern-Simons”（CS）项。我们采用了一个玩具模型，它具有未知的规范对称性U（1）$_X$。CS项的计算有两种方法：一种是具体的单圈计算，另一种是利用Fujikawa方法处理四维时空中的手征反常。得到的结果是相同的，这意味着辐射校正的CS项是“1圈精确”，也是免费的UV发散，即使理论本身是不可重正化。作为该场景的新颖特征，这样获得的CS项不再如在5D时空中通常讨论的CS项中那样在场$A_y$中是线性的，而是$A_y$的周期函数，因为$A_y$具有作为威尔逊环相位的物理意义。我们认为，这种新的功能，这种情况下导致修改的强CP问题的轴子场的基础上的普通解决方案。

英文摘要：

We discuss a natural scenario to solve the strong CP problem in the framework of the higher dimensional gauge theory. An axion-like field $A_y$ has been built-in as the extra-space component of the higher dimensional gauge field. The coupling of $A_y$ with gluons is attributed to the radiatively induced "Chern-Simons" (CS) term. We adopt a toy model with some unknown gauge symmetry U(1)$_X$. The CS term is obtained in two ways: first by a concrete 1-loop calculation and next by use of the Fujikawa's method to deal with the chiral anomaly in 4D space-time. The obtained results are identical, which implies that the radiative correction to the CS term is "1-loop exact" and is also free from UV-divergence even though the theory itself is non-renormalizable. As a novel feature of this scenario, such obtained CS term is no longer linear in the field $A_y$ as in the usually discussed CS term in 5D space-time but a periodic function of $A_y$, since $A_y$ has a physical meaning as the Wilson-loop phase. We argue how such novel feature of this scenario causes the modification of the ordinary solutions of the strong CP problem based on the axion fields.

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。

摘要：

英文摘要：

相关论文