Spin Effects in Long Range Gravitational Scattering

TL;DR

The paper investigates long-distance gravitational scattering of massive particles with and without spin within an effective field theory of gravity at one loop. It focuses on nonanalytic contributions to the scattering amplitude as the source of long-distance corrections, separating classical and quantum pieces. It demonstrates universality of spin-independent long-range corrections across spin-0, spin-1/2, and spin-1, and extends to spin-dependent interactions via two-graviton exchange. It defines an appropriate second-order potential via Fourier transform and discusses the extraction of classical GM/r and quantum Għ/r^2 contributions, connecting results to the Einstein-Infeld-Hoffmann framework.

Abstract

We study the gravitational scattering of massive particles with and without spin in the effective theory of gravity at one loop level. Our focus is on long distance effects arising from nonanalytic components of the scattering amplitude and we show that the spin-independent and the spin-dependent long range components exhibit a universal form. Both classical and quantum corrections are obtained, and the definition of a proper second order potential is discussed.

Figures (6)

• Figure 1: Basic kinematics of gravitational scattering.
• Figure 2: One loop diagrams of gravitational scattering.
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