标题： 非拓扑电磁刺猬 显示英文标题

标题： Nontopological Electromagnetic Hedgehogs

摘要： 我们研究自相互作用复Proca场理论中的经典局域配置——孤子——该理论具有全局$U(1)$对称性。 我们关注接近非相对论极限的球对称孤子，这些孤子由中性Proca场的四次相互作用支持。 如果引入Proca场与电磁场张量的宇称偶（宇称奇）耦合，则此类孤子可以产生径向电（磁）场。 我们讨论此类非拓扑“电磁刺猬”的存在条件及其特性。 显示英文摘要

摘要： We study classical localised configurations - solitons - in a theory of self-interacting complex Proca field with the global $U(1)$ symmetry. We focus on spherically-symmetric solitons near the nonrelativistic limit, which are supported by the quartic interactions of the neutral Proca field. Such solitons can source the radial electric (magnetic) field if one introduces a parity-even (parity-odd) coupling of the Proca field to the electromagnetic field tensor. We discuss the conditions of existence of such nontopological ''electromagnetic hedgehogs'' and their properties.