Color-kinematics duality from the 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.

arXiv comment8 pages, 3 figures

References in corpus (26)

• New Relations for Gauge-Theory Amplitudes
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Perturbative Quantum Field Theory in the String-Inspired Formalism
• Field Theory Without Feynman Diagrams: One-Loop Effective Actions
• Multi-Leg One-Loop Gravity Amplitudes from Gauge Theory
• The Momentum Kernel of Gauge and Gravity Theories
• Berends-Giele recursion for double-color-ordered amplitudes
• Berends-Giele recursions and the BCJ duality in superspace and components
• Multiparticle SYM equations of motion and pure spinor BRST blocks
• Multiloop Calculations in the String-Inspired Formalism: The Single Spinor-Loop in QED
• Non-linear gauge transformations in $D=10$ SYM theory and the BCJ duality
• Perturbiner Methods for Effective Field Theories and the Double Copy
• A solution to the non-linear equations of D=10 super Yang-Mills theory
• One-loop Correlators and BCJ Numerators from Forward Limits
• Algorithmic construction of SYM multiparticle superfields in the BCJ gauge
• 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
• Quantum mechanical path integrals in the first quantised approach to quantum field theory
• A covariant representation of the Ball-Chiu vertex
• From maximal to minimal supersymmetry in string loop amplitudes
• Loop amplitudes monodromy relations and color-kinematics duality
• String-motivated one-loop amplitudes in gauge theories with half-maximal supersymmetry
• The $L_{\infty }$ structure of gauge theories with matter
• QCD gluon vertices from the string-inspired formalism
• Off-shell Ward identities for N-gluon amplitudes
• The Structure of the Bern-Kosower Integrand for the N-Gluon Amplitude

Cited by in corpus (11)

• Advances in QED with intense background fields
• Off-Shell Color-Kinematics Duality for Chern-Simons
• Tree-level amplitudes from the pure spinor superstring
• 10D Super-Yang-Mills Scattering Amplitudes From Its Pure Spinor Action
• Manifest colour-kinematics duality and double-copy in the string-based formalism
• The QED four -- photon amplitudes off-shell: part 1
• The QED four-photon amplitudes off-shell: part 2
• Worldline description of a bi-adjoint scalar and the zeroth copy
• Massive Covariant Colour-Kinematics in 3D
• Color-factor symmetry of the amplitudes of Yang-Mills and biadjoint scalar theory using perturbiner methods
• Dimensional Regularization for the Particle Transition Amplitude in Curved Space