论文标题
Reissner-Nordström-Tangherlini从带电标量的散射振幅中的解决方案
The Reissner-Nordström-Tangherlini solution from scattering amplitudes of charged scalars
论文作者
论文摘要
Reissner-Nordström-Tangherlini溶液给出了由静态的，球带的大量物体产生的度量和电磁电位。我们通过计算描述从大量带电的标量场的散射幅度的散射幅度的经典贡献来得出该溶液的膨胀至第三次后阶秩序。在四个和五个维度中，这些振幅会产生紫外线差异，这些差异被更高衍生的对抗取消的方式，以概括性的方式概括了在无偿案例中发生的情况。这种重度化过程产生的对数术语与de donder仪的经典解决方案的后科斯基膨胀中所产生的术语完全匹配。
The metric and the electromagnetic potential generated by a static, spherically symmetric charged massive object in any dimension are given by the Reissner-Nordström-Tangherlini solution. We derive the expansion of this solution up to third post-Minkowskian order by computing the classical contribution of scattering amplitudes describing the emission of either a graviton or a photon from a massive charged scalar field up to two loops. In four and five dimensions these amplitudes develop ultraviolet divergences that are cancelled by higher-derivative counterterms in a way that generalises what was recently shown to happen in the chargeless case. This renormalisation procedure produces logarithmic terms that match exactly those produced in the post-Minkowskian expansion of the classical solution in de Donder gauge.
