论文标题
在有效的现场理论方法中的辐射反应
Radiation-Reaction in the Effective Field Theory Approach to Post-Minkowskian Dynamics
论文作者
论文摘要
我们扩展了辛科斯基（PM）有效野外理论（EFT）方法，以将保守和耗散辐射反应效应纳入统一框架。这是通过根据[1210.2745]中的表述来实施Schwinger-keldysh“ in-In in”形式主义，并将保守和非保守术语分开，我们表明，这表明促进了Feynman的$ i0 $ prescription，并将规则削减到经典级别的重要作用。涉及Feynman和延迟繁殖者的所得积分可以通过具有边界条件在内的边界方程（包括电势和辐射模式）的微分方程来引导到速度中的所有顺序。作为一个范式示例，我们从一般相对论中对散射问题的经典解决方案提供了从头开始推导，以$ {\ cal o}（g^3）$。为了完整性，我们还重现经典电动力学中的领先顺序辐射反应效应。
We extend the Post-Minkowskian (PM) effective field theory (EFT) approach to incorporate conservative and dissipative radiation-reaction effects in a unified framework. This is achieved by implementing the Schwinger-Keldysh "in-in" formalism and separating conservative and non-conservative terms according to the formulation in [1210.2745], which we show promotes Feynman's $i0$-prescription and cutting rules to a prominent role at the classical level. The resulting integrals, involving both Feynman and retarded propagators, can be bootstrapped to all orders in the velocity via differential equations with boundary conditions including potential and radiation modes. As a paradigmatic example we provide an ab initio derivation of the classical solution to the scattering problem in general relativity to ${\cal O}(G^3)$. For the sake of completeness, we also reproduce the leading order radiation-reaction effects in classical electrodynamics.
