标题： 标量和旋量场在引力宇宙弦时空中的情况 显示英文标题

标题： Scalar and spinor fields in gravitating cosmic string spacetimes

摘要： 我们研究标量场和旋量场在引力宇宙弦时空背景下的散射行为。 此处探讨的背景涡旋模型是非阿贝尔的，在适当的极限情况下变为阿贝尔的。 我们采用了我们在\cite{silva2021scattering}中开发的形式化方法，并对标准部分波方法进行了修改。 我们使用该方法研究标量场以及与具有非平凡渐近结构的背景时空相互作用的费米子场。 数值获得的时空度规，见\cite{de2015gravitating}，构成了我们最先进的数值研究的基础。 我们进行了详尽的分析，并将非阿贝尔模型中的所有结果与相应的阿贝尔模型进行比较，适用于无质量场和有质量场。 我们分析了场配置在核心附近小距离和大距离处的总截面和角度分布。 我们表明，总截面随着入射波的动量振荡，正如在\cite{silva2021scattering}中所预期的那样，并且角度分布可以用弗劳恩霍夫衍射图样合理地解释，特别是对于标量场的散射。 显示英文摘要

摘要： We study the scattering behavior of scalar and spinor fields in the background of a gravitating cosmic string spacetime. The model explored here for the background vortex is non-abelian, becoming abelian in an appropriate limiting case. We adopted the formalism we developed in \cite{silva2021scattering}, modifying the standard partial wave approach. We apply the method for a scalar and also a fermion field interacting with the background spacetime with a nontrivial asymptotic structure. The spacetime metric, obtained numerically in \cite{de2015gravitating}, forms the basis of our state-of-the-art numerical study. We make an exhaustive analysis and compare all the results in the non-abelian model with the corresponding abelian one for both massless and massive fields. We analyze the field configuration's total cross-section and angular profile at small and large distances from the core. We show that the total cross-section oscillates with the incident momentum of the wave, as anticipated in \cite{silva2021scattering}, and also, the angular profile can be explained reasonably well with a Fraunhofer diffraction pattern, especially for the scalar field scattering.