标题： $U(1)$宇宙弦之间的相互作用：一项分析研究 显示英文标题

标题： Interactions between $U(1)$ Cosmic Strings: An Analytical Study

摘要： 我们推导出两个一般$U(1)$宇宙弦之间的相互作用能量的解析表达式，作为它们相对取向和模型中耦合常数比值的函数。这些结果与远离临界耦合的弦的统计描述相关，并对弦形成和弦网络演化的机制提供了一些见解。 显示英文摘要

摘要： We derive analytic expressions for the interaction energy between two general $U(1)$ cosmic strings as the function of their relative orientation and the ratio of the coupling constants in the model. The results are relevant to the statistic description of strings away from critical coupling and shed some light on the mechanisms involved in string formation and the evolution of string networks.