Effective-one-body Hamiltonian with next-to-leading order spin-spin coupling
Effective-one-body Hamiltonian with next-to-leading order spin-spin coupling
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具有次高阶自旋-自旋耦合的有效一体哈密顿量
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
P. Jetzer
中科院分区：
文献类型：
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作者：
Simone Balmelli;P. Jetzer
我们提出了一种将次领先（NLO）阶自旋-自旋耦合纳入有效一体（EOB）汉密尔顿的方法。这项工作扩展了[S。Balmelli和P. Jetzer，Phys.Rev.D87，124036（2013）]，其限于赤道轨道和对准自旋的情况，限于具有任意自旋取向的一般轨道。这是通过将适当的正则相空间变换应用于Arnowitt-Deser-Misner（ADM）坐标中的NLO自旋-自旋哈密顿量，并系统地将NLO处的“有效”量添加到EOB哈密顿量中出现的所有自旋平方项来完成的。根据一致性的要求，在试验质量限值中，引入的量减少到零。我们将结果以一般规范和规范固定的形式给出。最后一个被选择为使得必须被插入到有效自旋平方中的新系数的数量最小化。结果，描述ADM NLO自旋-自旋动力学的25个参数被压缩成仅12个EOB项。
We propose a way of including the next-to-leading (NLO) order spin-spin coupling into an effective-one-body (EOB) Hamiltonian. This work extends [S. Balmelli and P. Jetzer, Phys. Rev. D 87, 124036 (2013)], which is restricted to the case of equatorial orbits and aligned spins, to general orbits with arbitrary spin orientations. This is done applying appropriate canonical phase-space transformations to the NLO spin-spin Hamiltonian in Arnowitt-Deser-Misner (ADM) coordinates, and systematically adding "effectiv" quantities at NLO to all spin-squared terms appearing in the EOB Hamiltonian. As required by consistency, the introduced quantities reduce to zero in the test- mass limit. We expose the result both in a general gauge and in a gauge-fixed form. The last is chosen such as to minimize the number of new coefficients that have to be inserted into the effective spin squared. As a result, the 25 parameters that describe the ADM NLO spin-spin dynamics get condensed into only 12 EOB terms.