Abstract
We establish a correspondence between perturbative classical gluon and gravitational radiation emitted by spinning sources, to linear order in spin. This is an extension of the non-spinning classical perturbative double copy and uses the same color-to-kinematic replacements. The gravitational theory has a scalar (dilaton) and a 2-form field (the Kalb-Ramon axion) in addition to the graviton. In arXiv:1712.09250, we computed axion radiation in the gravitational theory to show that the correspondence fixes its action. Here, we present complete details of the gravitational computation. In particular, we also calculate the graviton and dilaton amplitudes in this theory and find that they precisely match with the predictions of the double copy. This constitutes a non-trivial check of the classical double copy correspondence, and brings us closer to the goal of simplifying the calculation of gravitational wave observables for astrophysically relevant sources.
Highlights
Einstein’s theory of general relativity, one of the most beautiful triumphs of modern physics, describes classical gravity to the best of our knowledge
Numerators of gauge theory Feynman diagrams factorize into color factors and kinematic factors
Instead of attempting to solve Einstein’s equations with spinning sources, we look to utilize the classical double copy [14]
Summary
Einstein’s theory of general relativity, one of the most beautiful triumphs of modern physics, describes classical gravity to the best of our knowledge. They calculated the Yang-Mills radiation that the sources generate, by selfconsistently solving the equations of motion for the sources and the field perturbatively They found that a set of simple color-to-kinematic replacements produces gravitational radiation emitted by an analogous system of. It was shown in [15] that these color-tokinematic replacement rules can be used to generate Yang-Mills radiation from scalar radiation, thereby completing a two-fold classical double copy for leading order radiation. Instead of attempting to solve Einstein’s equations with spinning sources, we look to utilize the classical double copy [14] To this end, we consider, instead, a system of point colored charges, with color variable caðτÞ [27], that couple to the Yang-Mills field..
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