Cheung Clifford, Parra-Martinez Julio, Rothstein Ira Z, Shah Nabha, Wilson-Gerow Jordan
Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125, USA.
Department of Physics and Astronomy, University of British Columbia, Vancouver, V6T 1Z1, Canada.
Phys Rev Lett. 2024 Mar 1;132(9):091402. doi: 10.1103/PhysRevLett.132.091402.
We derive an effective field theory describing a pair of gravitationally interacting point particles in an expansion in their mass ratio, also known as the self-force (SF) expansion. The 0SF dynamics are trivially obtained to all orders in Newton's constant by the geodesic motion of the light body in a Schwarzschild background encoding the gravitational field of the heavy body. The corrections at 1SF and higher are generated by perturbations about this configuration-that is, the geodesic deviation of the light body and the fluctuation graviton-but crucially supplemented by an operator describing the recoil of the heavy body as it interacts with the smaller companion. Using this formalism we compute new results at third post-Minkowskian order for the conservative dynamics of a system of gravitationally interacting massive particles coupled to a set of additional scalar and vector fields.
我们推导了一种有效场论，该理论描述了一对引力相互作用的点粒子，是按照它们的质量比展开的，也称为自力（SF）展开。通过轻体在编码重体引力场的史瓦西背景中的测地线运动，零阶自力动力学在牛顿常数的所有阶次上都能轻易得到。一阶自力及更高阶的修正由围绕此构型的微扰产生，即轻体的测地线偏差和波动引力子，但关键的是要补充一个描述重体与较小伴星相互作用时反冲的算符。利用这种形式体系，我们计算了后闵可夫斯基三阶的新结果，用于描述与一组附加标量和矢量场耦合的引力相互作用大质量粒子系统的保守动力学。
