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.

arXiv comment20 pages, no figures; v2: additional references, version published in JHEP; v3: typo in eq. 4.36 corrected

References in corpus (32)

• New Relations for Gauge-Theory Amplitudes
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Scattering of Massless Particles: Scalars, Gluons and Gravitons
• Gravity as the Square of Gauge Theory
• New Color Decompositions for Gauge Amplitudes at Tree and Loop Level
• Minimal Basis for Gauge Theory Amplitudes
• Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program
• Factorization of tree QCD amplitudes in the high-energy limit and in the collinear limit
• Color-Kinematics Duality for QCD Amplitudes
• The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
• A Proof of the Explicit Minimal-basis Expansion of Tree Amplitudes in Gauge Field Theory
• On amplitudes in self-dual sector of Yang-Mills theory
• Berends-Giele recursion for double-color-ordered amplitudes
• Berends-Giele recursions and the BCJ duality in superspace and components
• Double Copy from Homotopy Algebras
• Non-linear gauge transformations in $D=10$ SYM theory and the BCJ duality
• Perturbiner Methods for Effective Field Theories and the Double Copy
• Scattering Amplitude Recursion Relations in BV Quantisable Theories
• Berends-Giele currents in Bern-Carrasco-Johansson gauge for $F^3$- and $F^4$-deformed Yang-Mills amplitudes
• $L_{\infty }$-algebras and the perturbiner expansion
• Loop Amplitudes and Quantum Homotopy Algebras
• Getting more flavour out of one-flavour QCD
• On tree form-factors in (supersymmetric) Yang-Mills theory
• New recursions for tree-level correlators in (Anti) de Sitter space
• KLT-type relations for QCD and bicolor amplitudes from color-factor symmetry
• The $L_{\infty }$ structure of gauge theories with matter
• One-loop off-shell amplitudes from classical equations of motion
• Multiparticle solutions to Einstein's equations
• Color-kinematics duality from the Bern-Kosower formalism
• Manifest colour-kinematics duality and double-copy in the string-based formalism
• BCJ relations from a new symmetry of gauge-theory amplitudes
• Homotopy double copy and the Kawai-Lewellen-Tye relations for the non-abelian and tensor Navier-Stokes equations

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