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arXiv 2209.00611hep-thgr-qc
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后牛顿框架下NNNLO阶的引力自旋-轨道哈密顿量

Gravitational Spin-Orbit Hamiltonian at NNNLO in the post-Newtonian framework

Manoj K. Mandal, Pierpaolo Mastrolia, Raj Patil, Jan Steinhoff

AI总结:

本研究采用有效场论图解方法,计算了后牛顿展开下NNNLO阶的旋转致密双星自旋-轨道相互作用哈密顿量,通过正则变换处理非物理项,推导了特殊运动学区域的规范不变结合能与散射角。

摘要:

我们给出了具有一般自旋的旋转致密天体双星系统的自旋-轨道相互作用哈密顿量结果,该结果涵盖后牛顿展开中的次次次领头阶(NNNLO)修正。计算采用有效场论图解方法,涉及在维数正规化方案下求值的至多三环的费曼积分。我们应用正则变换消除哈密顿量的非物理发散和虚假对数行为,并利用该哈密顿量在特殊运动学区域推导了规范不变的结合能和散射角。

英文摘要:

We present the result of the spin-orbit interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to NNNLO corrections within the post-Newtonian expansion. The calculation is performed by employing the effective field theory diagrammatic approach, and it involves Feynman integrals up to three loops, evaluated within the dimensional regularization scheme. We apply canonical transformations to eliminate the non-physical divergences and spurious logarithmic behaviours of the Hamiltonian, and use the latter to derive the gauge-invariant binding energy and the scattering angle, in special kinematic regimes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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