# Classical gluon and graviton radiation from the bi-adjoint scalar double copy

## TL;DR

This paper establishes a double copy relation between classical radiation solutions in Yang-Mills theory and bi-adjoint scalar theory, potentially simplifying calculations of gravitational radiation from complex systems.

## Contribution

It introduces a new double copy framework connecting bi-adjoint scalar solutions to gauge theory and gravity, extending the BCJ double copy to classical radiating solutions.

## Key findings

- Derived explicit bi-adjoint scalar solutions up to second order.
- Mapped scalar solutions to gauge theory solutions with cubic gluon interactions.
- Suggests potential for calculating gravitational waves from scalar field models.

## Abstract

We find double copy relations between classical radiating solutions in Yang-Mills theory coupled to dynamical color charges and their counterparts in a cubic bi-adjoint scalar field theory which interacts linearly with particles carrying bi-adjoint charge. The particular color-to-kinematics replacements we employ are motivated by the BCJ double copy correspondence for on-shell amplitudes in gauge and gravity theories. They are identical to those recently used to establish relations between classical radiating solutions in gauge theory and in dilaton gravity. Our explicit bi-adjoint solutions are constructed to second order in a perturbative expansion, and map under the double copy onto gauge theory solutions which involve at most cubic gluon self-interactions. If the correspondence is found to persist to higher orders in perturbation theory, our results suggest the possibility of calculating gravitational radiation from colliding compact objects, directly from a scalar field with vastly simpler (purely cubic) Feynman vertices.