论文标题

Sagex关于散射幅度的评论,第14章:散射幅度的经典重力

The SAGEX Review on Scattering Amplitudes, Chapter 14: Classical Gravity from Scattering Amplitudes

论文作者

Kosower, David A., Monteiro, Ricardo, O'Connell, Donal

论文摘要

散射幅度在量子场理论中起源于量子理论,但具有扩展到经典物理的广泛应用。我们回顾一种形式主义,将某些经典可观察物与散射幅度联系起来。这种形式主义的一个优点是,它使我们能够研究经典重力中双复制的含义。我们讨论了可观察到的示例,包括粒子动量的总变化以及在散射遭遇期间的重力波形。双副本还允许直接访问重力中的经典解决方案。我们从线性化级别开始查看此经典的双副本,该副本起源于三点幅度的双副本。经典的双副本优雅地扩展到精确的解决方案,从而在散射幅度和一般相对性的几何公式​​之间建立联系。

Scattering amplitudes have their origin in quantum field theory, but have wide-ranging applications extending to classical physics. We review a formalism to connect certain classical observables to scattering amplitudes. An advantage of this formalism is that it enables us to study implications of the double copy in classical gravity. We discuss examples of observables including the total change of a particle's momentum, and the gravitational waveform, during a scattering encounter. The double copy also allows direct access to classical solutions in gravity. We review this classical double copy starting from its linearised level, where it originates in the double copy of three-point amplitudes. The classical double copy extends elegantly to exact solutions, making a connection between scattering amplitudes and the geometric formulation of General Relativity.

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