论文标题
固定1pm电位的非权利论扩展
Fixing the non-relativistic expansion of the 1PM potential
论文作者
论文摘要
我们获得了一阶后两体后两体有效电位，其后牛顿后的扩张直接再现了爱因斯坦侵权的 - 霍夫曼潜力。在标量物质的量子场理论与重力耦合的量子场理论中，可以从壳散射幅度中提取后传球势。以前，这种潜力并没有在没有合适的规范转换的情况下再现爱因斯坦侵袭性的荷夫势。在这项工作中，我们通过获得一阶后 - 康沃斯基潜能的新表达方式来解决此问题。这是通过利用在散射幅度计算中产生的参考框架依赖性来完成的。最后，作为检查结果的检查，我们证明了我们的新电位给出了正确的散射角度。
We obtain a first order post-Minkowskian two-body effective potential whose post-Newtonian expansion directly reproduces the Einstein-Infeld-Hoffmann potential. Post-Minkowskian potentials can be extracted from on-shell scattering amplitudes in a quantum field theory of scalar matter coupled to gravity. Previously, such potentials did not reproduce the Einstein-Infeld-Hoffmann potential without employing a suitable canonical transformation. In this work, we resolve this issue by obtaining a new expression for the first-order post-Minkowskian potential. This is accomplished by exploiting the reference frame dependence that arises in the scattering amplitude computation. Finally, as a check on our result, we demonstrate that our new potential gives the correct scattering angle.
