Color-kinematics duality from the Bern-Kosower formalism

TL;DR

This paper introduces a new method to construct Berends-Giele currents from the Bern-Kosower formalism, revealing their natural compliance with color-kinematics duality in one-loop gluon amplitudes.

Contribution

It presents a novel approach to derive Berends-Giele currents using Bern-Kosower formalism, highlighting their inherent color-kinematics duality and streamlining the pinch procedure.

Findings

Currents obey color-kinematics duality naturally.

Streamlined pinch procedure using multi-particle polarisations.

New construction method for Berends-Giele currents from Bern-Kosower formalism.

Abstract

Berends-Giele currents are fundamental building blocks for on-shell amplitudes in non-abelian gauge theory. We present a novel procedure to construct them using the Bern-Kosower formalism for one-loop gluon amplitudes. Applying the pinch procedure of that formalism to a suitable special case the currents are naturally obtained in terms of multi-particle fields and obeying colour-kinematics duality. As a feedback to the Bern-Kosower formalism we outline how the multi-particle polarisations and field-strength tensors can be used to significantly streamline the pinch procedure.