标题： 非局部时间的标量-张量引力中有效单体哈密顿量在第三后牛顿阶次 显示英文标题

标题： Nonlocal-in-time effective one body Hamiltonian in scalar-tensor gravity at third post-Newtonian order

摘要： 我们完成了质量为零的标量-张量（ST）理论在第三后牛顿（PN）阶次下保守动力学的非局部时间有效单体（EOB）形式。 非局部时间的EOB哈密顿量是通过将对应于在[物理评论D 99, 044047 (2019)]中推导出的非局部时间拉格朗日量的降阶哈密顿量进行映射得到的。 为了在EOB形式中转录动力学，我们采用了一种将非局部动力学降阶为局部普通作用角哈密顿量的策略。 然后我们将此映射到EOB哈密顿量上，以确定3PN阶次下非局部时间ST对EOB势能$(A,B,Q_e)$的修正。 显示英文摘要

摘要： We complete the nonlocal-in-time effective-one-body (EOB) formalism of conservative dynamics for massless Scalar-Tensor (ST) theories at third post-Newtonian (PN) order. The nonlocal-in-time EOB Hamiltonian is obtained by mapping the order-reduced Hamiltonian corresponding to the nonlocal-in-time Lagrangian derived in [Phys. Rev. D 99, 044047 (2019)]. To transcribe the dynamics within EOB formalism, we use a strategy of order-reduction of nonlocal dynamics to local ordinary action-angle Hamiltonian. We then map this onto the EOB Hamiltonian to determine the nonlocal-in-time ST corrections to the EOB potentials $(A,B,Q_e)$ at 3PN order.