Note on the absence of R 2 corrections to Newton's potential
Note on the absence of R 2 corrections to Newton's potential
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注意缺乏对牛顿势的 R 2 修正
DOI：
10.1103/physrevd.101.046011
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发表时间：
2020
影响因子：
5
通讯作者：
Accettulli Huber M
中科院分区：
文献类型：
--
作者：
Accettulli Huber M
本文在有效场论的背景下，考虑了爱因斯坦引力和相互作用，以及相应的引力子和最小耦合重标量的散射振幅。首先，我们恢复了引力子振幅与爱因斯坦引力相同的已知事实。然后，我们表明，所有的振幅与两个重标量和任意数量的引力子也不受这些相互作用。我们证明了这一点，直接计算，使用领域的重新定义已知的早期应用程序在弦理论，并结合因子分解和功率计数参数。结合么正性，这些结果意味着，在一个有效的场论方法，牛顿势既不接受经典也不量子修正项的曲率平方。
We consider Einstein gravity with the addition ofandinteractions in the context of effective field theory, and the corresponding scattering amplitudes of gravitons and minimally coupled heavy scalars. First, we recover the known fact that graviton amplitudes are the same as in Einstein gravity. Then we show that all amplitudes with two heavy scalars and an arbitrary number of gravitons are also not affected by these interactions. We prove this by direct computations, using field redefinitions known from earlier applications in string theory, and with a combination of factorization and power-counting arguments. Combined with unitarity, these results imply that, in an effective field theory approach, the Newtonian potential receives neither classical nor quantum corrections from terms quadratic in the curvature.