arXiv 2102.078412021-02-15hep-thgr-qc

关于非阿贝尔涡旋辐射通道的几点讨论

Some comments about emission channels of non abelian vortices

Osvaldo P. Santillán

备注：: 28 pages, no figures
发表信息：: Phys. Rev. D 103, 116031 (2021)
DOI：: 10.1103/PhysRevD.103.116031

摘要：

正如公认的那样，几种规范理论承认平均寿命很长的涡旋。在某些情况下，这种稳定性是基础理论的对称群拓扑的结果。本文的主要工作是，给定一个假定的涡旋，通过分析它的物理效应来确定它是否是非阿贝尔的。这里考虑的例子是最简单的一个，即$SU(2)$规范模型，其内部取向空间由$S^2$描述。主要考虑了轴子和引力辐射。发现非阿贝尔性质基本上反映在引力环因子$γ_l$在\cite{vachaspati} - \cite{burden}中的偏差上。相反，轴子发射对非阿贝尔性不太敏感，至少对这个简单的模型来说是这样。另一个重要的差异是，当取向模式被激发时，涡旋的任何一点都不能达到光速。另外，比较对应于这些信道中的每一个的总功率，从而使\cite{davis} - \cite{peloso}的结果适应于非阿贝尔上下文。这里考虑的激励是文献\cite{ruso1} - \cite{kruczenski}中已知的旋转或尖峰弦的简单推广。然而，建议，对于某些类型的半局部字符串的内部模空间是非紧的，由于非abelianity偏差可能会更明显。

英文摘要：

As is well established, several gauge theories admit vortices whose mean life time is very large. In some cases, this stability is a consequence of the topology of the symmetry group of the underlying theory. The main focus of the present work is, given a putative vortex, to determine if it is non abelian or not by analysis of its physical effects. The example considered here is the simplest one namely, a $SU(2)$ gauge model whose internal orientational space is described by $S^2$. Axion and gravitational emission are mainly considered. It is found that the non abelian property is basically reflected in a deviation of gravitational loop factor $γ_l$ found in \cite{vachaspati}-\cite{burden}. The axion emission instead, is not very sensitive to non abelianity, at least for this simple model. Another important discrepancy is that no point of the vortex reaches the speed of light when orientational modes are excited. In addition, the total power corresponding to each of these channels is compared, thus adapting the results of \cite{davis}-\cite{peloso} to the non abelian context. The excitations considered here are simple generalizations of rotating or spike string ansatz known in the literature \cite{ruso1}-\cite{kruczenski}. It is suggested however, that for certain type of semi-local strings whose internal moduli space is non compact, deviations due to non abelianity may be more pronounced.

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