Abstract
We extend the perturbative classical double copy to the analysis of bound systems. We first obtain the leading order perturbative gluon radiation field sourced by a system of interacting color charges in arbitrary time dependent orbits, and test its validity by taking relativistic bremsstrahlung and non-relativistic bound state limits. By generalizing the color to kinematic replacement rules recently used in the context of classical bremsstrahlung, we map the gluon emission amplitude to the radiation fields of dilaton gravity sourced by interacting particles in generic (self-consistent) orbits. As an application, we reproduce the leading post-Newtonian radiation fields and energy flux for point masses in non-relativistic orbits from the double copy of gauge theory.
Highlights
The possibility that perturbative gravity is somehow the square of gauge theory was first concretely realized in the context of string theory, by the results of Kawai, Lewellen and Tye [1] (KLT), which formulated certain factorization identities relating S-matrix elements in closed and open string sectors
BCJ duality states that once a YangMills scattering amplitude is written in a certain canonical form, the corresponding gravity amplitude can be obtained by performing a simple set of color to kinematic replacements
We found that the leading order.1 classical bremsstrahlung radiation fields in YangMills theory and dilaton gravity theory are related by a set of color to kinematic replacement rules, similar to those used in the context of scattering amplitudes
Summary
The possibility that perturbative gravity is somehow the square of gauge theory was first concretely realized in the context of string theory, by the results of Kawai, Lewellen and Tye [1] (KLT), which formulated certain factorization identities relating S-matrix elements in closed and open string sectors. In the classical bremsstrahlung configurations considered in [10], the sources on the gauge theory side correspond to point color charges that start out widely separated and, noninteracting in the far past This setup is sufficiently similar to the case of a five-point tree-level scattering amplitude in the context of BCJ duality [12] that it is perhaps not unexpected that a consistent gravitational double copy holds in the classical limit as well. From a more formal perspective, such orbital configurations correspond to highly excited bound state poles in S-matrix elements, so that a simple tree-level interpretation of the radiation field and its double copy would be inadequate As such, these bound systems provide a new test of the classical double copy beyond fixed order perturbation theory in powers of the gauge coupling. Throughout, we work in d 1⁄4 4 spacetime dimensions, but our results generalize trivially to any d
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
