arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2102.09228hep-thhep-phmath-phmath.MP
收藏

有效的四维标量理论在额外维度的时空中能渐近自由吗?

Can effective four-dimensional scalar theory be asymptotically free in a spacetime with extra dimensions?

A. V. Kisselev, V. A. Petrov

摘要:

我们跟踪在六维时空中$ϕ^{3}$理论中运行耦合的渐近自由行为,如果在二维闭流形上紧致化两个空间维度。这个结果可以看作是无穷多个具有三重相互作用的KK型标量场的有效四维理论。有效的\emph{dimensional}耦合继承运行到零,在高质量尺度的修改形式取决于紧凑的歧管的大小。一些物理影响进行了讨论。

英文摘要:

We trace what happens with asymptotically free behavior of the running coupling in $ϕ^{3}$ theory in six-dimensional space-time if to compactify two spatial dimensions on a 2D closed manifold. The result can be considered as an effective 4D theory of infinitely many KK-type scalar fields with triple interactions. The effective \emph{dimensional} coupling inherits running to zero at high mass scales in a modified form depending on the size of the compact manifold. Some physical implications are discussed.

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。

↑