论文标题
散射幅度的黑洞潮汐爱数字消失
Vanishing of black hole tidal Love numbers from scattering amplitudes
论文作者
论文摘要
我们通过比较磁场上的壳上振幅（spin-0和spin-1类似）来提取黑洞（BH）静态潮汐变形系数（爱情数字），以散布磁场振幅，以散布在全球有效田间理论（EFT）中的旋转BH和一般相对论（GR）中的旋转BH。我们指出，由于潮汐效应而引起的GR幅度完全源自BH电位区域。因此，它们可以与波区域的重力非线性分离，其适当的处理需要更高的EFT环路计算。特别是，近场近似中的弹性散射仅由潮汐效应产生。我们发现对消失的贡献相同，这意味着Kerr BHS的静态爱情数量为所有类型的扰动。我们还为更高维BHS复制了标量爱数的已知行为。我们的结果显然是规范不变和与坐标无关的，从而为常用的外壳方法提供了宝贵的一致性检查。
We extract the black hole (BH) static tidal deformability coefficients (Love numbers) and their spin-0 and spin-1 analogs by comparing on-shell amplitudes for fields to scatter off a spinning BH in the worldline effective field theory (EFT) and in general relativity (GR). We point out that the GR amplitudes due to tidal effects originate entirely from the BH potential region. Thus, they can be separated from gravitational non-linearities in the wave region, whose proper treatment requires higher order EFT loop calculations. In particular, the elastic scattering in the near field approximation is produced exclusively by tidal effects. We find this contribution to vanish identically, which implies that the static Love numbers of Kerr BHs are zero for all types of perturbations. We also reproduce the known behavior of scalar Love numbers for higher dimensional BHs. Our results are manifestly gauge-invariant and coordinate-independent, thereby providing a valuable consistency check for the commonly used off-shell methods.
