论文标题
二进制宇宙字符串的有效现场理论
An Effective Field Theory for Binary Cosmic Strings
论文作者
论文摘要
我们将重力辐射的有效田间理论（EFT）形式扩展到从紧凑物体的二元系统到扩展对象的情况。特别是，我们研究了由两个无限长的宇宙弦组成的二元系统的EFT，这些二进制系统具有较小的速度和较小的空间子结构，或“摇摆”。系统的复杂性需要引入两个扰动扩展参数，该参数是根据摇摆的速度和大小构建的，与点粒子案例相反，单个参数就足够了。这进一步要求我们在系统中分配新的电源计数规则。我们集成了与电势重力相对应的模式，从而为辐射重力产生了有效的作用。我们表明，此动作描述了一个不断变化的四极，由字符串的弯曲模式提出，从而产生引力波。我们在此描述中研究了紫外线差异，并使用它们在这种情况下获得弦张力的经典重新归一化群。
We extend the effective field theory (EFT) formalism for gravitational radiation from a binary system of compact objects to the case of extended objects. In particular, we study the EFT for a binary system consisting of two infinitely-long cosmic strings with small velocity and small spatial substructure, or "wiggles". The complexity of the system requires the introduction of two perturbative expansion parameters, constructed from the velocity and size of the wiggles, in contrast with the point particle case, for which a single parameter is sufficient. This further requires us to assign new power counting rules in the system. We integrate out the modes corresponding to potential gravitons, yielding an effective action for the radiation gravitons. We show that this action describes a changing quadrupole, sourced by the bending modes of the string, which in turn generates gravitational waves. We study the ultraviolet divergences in this description, and use them to obtain the classical renormalization group flow of the string tension in such a setting.
