标题： 非线性自相互作用的扩展物体在有效外部场中作为测试物体运动 显示英文标题

标题： Nonlinearly self-interacting extended bodies move as test bodies in effective external fields

摘要： 在电磁学、线性化广义相对论以及其他上下文中，以前的工作表明，可以将“Detweiler-Whiting规定”应用于描述测试体运动的定律，从而得到描述紧凑且自相互作用物体的运动定律。 这些规定将测试体运动定律中出现的任何场替换为一个特定的有效场，该有效场是物理变量的准局部泛函——这一泛函可以被解释为点粒子极限中的正则化过程。 我们推广了这些结果，提出了一种形式化方法，使得即使在非线性场论中，也可以直接为扩展体推导出Detweiler-Whiting规定。 如果我们能构造一个具有特定性质的生成泛函，我们会发现有效线动量和角动量，它们通过涉及适当有效场的Mathisson-Papapetrou-Dixon方程演化。 这些方程隐含地包含了所有的自力、自扭矩和扩展体效应。 尽管我们的主要关注点是与非线性标量场耦合的物体，但我们也对引力情况进行了评论。 显示英文摘要

摘要： In electromagnetism, linearized general relativity, and other contexts, previous work has shown that the laws of motion which govern compact, self-interacting bodies can be obtained by applying "Detweiler-Whiting prescriptions" to the laws of motion which govern test bodies. These prescriptions replace any field which appears in a test-body law of motion with a certain effective field which is a quasilocal functional of the physical variables -- a functional that can be interpreted as a regularization procedure in a point-particle limit. We generalize these results, presenting a formalism which allows Detweiler-Whiting prescriptions to be be directly derived for extended bodies, even in nonlinear field theories. If a generating functional with particular properties can be constructed, we find effective linear and angular momenta which evolve via Mathisson-Papapetrou-Dixon equations involving appropriate effective fields. These equations implicitly incorporate all self-force, self-torque, and extended-body effects. Although our main focus is on bodies coupled to nonlinear scalar fields, we also remark on the gravitational case.