Color-factor symmetry of the amplitudes of Yang-Mills and biadjoint scalar theory using perturbiner methods

Abstract

Color-factor symmetry is a property of tree-level gauge-theory amplitudes containing at least one gluon. BCJ relations among color-ordered amplitudes follow directly from this symmetry. Color-factor symmetry is also a feature of biadjoint scalar theory amplitudes as well as of their equations of motion. In this paper, we present a new proof of color-factor symmetry using a recursive method derived from the perturbiner expansion of the classical equations of motion.

Comments: 20 pages, no figures; v2: additional references, version published in JHEP; v3: typo in eq. 4.36 corrected