论文标题
量子场理论中的潮汐效应
Tidal effects in quantum field theory
论文作者
论文摘要
我们将Hilbert系列应用于标量场的重力作用，以扩展到标量和Weyl张量二次的高维操作员的完整，非冗余的基础。这种动作的这种扩展充分描述了涉及曲率两个能力的操作员引起的潮汐效应。作为这一新动作的应用，我们在领先的墨西哥后秩序上计算所有无旋转的潮汐效应。通过吸引重限，只有严格受约束的操作员才能在一环级别上进行经典贡献，从而大大简化了该计算。最后，我们使用此幅度来得出$ \ MATHCAL {O}（g^{2}）$ tidal校正对汉密尔顿和散射角度。
We apply the Hilbert series to extend the gravitational action for a scalar field to a complete, non-redundant basis of higher-dimensional operators that is quadratic in the scalars and the Weyl tensor. Such an extension of the action fully describes tidal effects arising from operators involving two powers of the curvature. As an application of this new action, we compute all spinless tidal effects at the leading post-Minkowskian order. This computation is greatly simplified by appealing to the heavy limit, where only a severely constrained set of operators can contribute classically at the one-loop level. Finally, we use this amplitude to derive the $\mathcal{O}(G^{2})$ tidal corrections to the Hamiltonian and the scattering angle.
