Gravitational tidal effects in quantum field theory

Gravitational tidal effects in quantum field theory
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量子场论中的引力潮汐效应

DOI:
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发表时间:
2020
期刊:
影响因子:
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通讯作者:
Andreas Helset
Andreas Helset
中科院分区:
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文献类型:
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作者:
Kays Haddad;Andreas Helset

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我们应用希尔伯特级数将标量场的引力作用推广到高维算符的完全非冗余基,高维算符在标量和Weyl张量中是二次的。这种作用的推广充分描述了由涉及曲率的两次幂的算子引起的潮汐效应。作为这一新作用量的应用,我们在领先的后Minkowskian级计算了所有无自旋潮汐效应。通过求助于重极限,这一计算大大简化了,在重极限中,只有严格受限的一组操作符才能在单环水平上做出经典贡献。最后,我们用这个振幅推导出哈密顿量和散射角的潮汐修正。
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.
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