From Yang-Mills Lagrangian to MHV Diagrams

Abstract

We prove the equivalence of a recently suggested MHV-formalism to the standard Yang-Mills theory. This is achieved by a formally non-local change of variables. In this note we present the explicit formulas while the detailed proofs are postponed to a future publication.

arXiv commentLatex,11 pages, minor changes, reference added, version to appear in JHEP

References in corpus (26)

• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Perturbative Gauge Theory As A String Theory In Twistor Space
• MHV Vertices And Tree Amplitudes In Gauge Theory
• One-Loop Gauge Theory Amplitudes in N=4 Super Yang-Mills from MHV Vertices
• MHV Rules for Higgs Plus Multi-Gluon Amplitudes
• A direct proof of the CSW rules
• One-Loop N Gluon Amplitudes with Maximal Helicity Violation via Collinear Limits
• The self-dual sector of QCD amplitudes
• Tree Amplitudes in Gauge Theory as Scalar MHV Diagrams
• Twistor Space Structure Of One-Loop Amplitudes In Gauge Theory
• Non-Supersymmetric Loop Amplitudes and MHV Vertices
• Multigluon Helicity Amplitudes Involving a Quark Loop
• Next-to-Maximal Helicity Violating Amplitudes in Gauge Theory
• Twistor-Space Recursive Formulation of Gauge-Theory Amplitudes
• The Googly Amplitudes in Gauge Theory
• One-Loop MHV Amplitudes in Supersymmetric Gauge Theories
• On amplitudes in self-dual sector of Yang-Mills theory
• Dilatation operator in (super-)Yang-Mills theories on the light-cone
• Self-dual Yang--Mills Theory and One-Loop Maximally Helicity Violating Multi-Gluon Amplitudes
• A Note on Twistor Gravity Amplitudes
• MHV Techniques for QED Processes
• Collinear Limits in QCD from MHV Rules
• A Note on MHV Amplitudes for Gravitons
• On tree form-factors in (supersymmetric) Yang-Mills theory
• From effective actions to the background geometry
• Scattering of Plane Waves in Self-Dual Yang-Mills Theory

Cited by in corpus (53)

• Gravity as the Square of Gauge Theory
• Supersymmetric Gauge Theories in Twistor Space
• From Twistor Actions to MHV Diagrams
• The No-Triangle Hypothesis for N=8 Supergravity
• Gravity, Twistors and the MHV Formalism
• Chiral Higher Spin Theories and Self-Duality
• On-shell constructibility of tree amplitudes in general field theories
• The Lagrangian origin of MHV rules
• KLT relations from the Einstein-Hilbert Lagrangian
• Perturbiner Methods for Effective Field Theories and the Double Copy
• Local Spacetime Physics from the Grassmannian
• On the Structure of Supersymmetric Sums in Multi-Loop Unitarity Cuts
• An Introduction to On-shell Recursion Relations
• The rational parts of one-loop QCD amplitudes I: The general formalism
• One-loop MHV Rules and Pure Yang-Mills
• Structure of the MHV-rules Lagrangian
• A First Course on Twistors, Integrability and Gluon Scattering Amplitudes
• Amplitudes in Pure Yang-Mills and MHV Diagrams
• Off-Shell Spinor-Helicity Amplitudes from Light-Cone Deformation Procedure
• Tree-Level Formalism
• CSW rules for a massive scalar
• S-Matrix Equivalence Theorem Evasion and Dimensional Regularisation with the Canonical MHV Lagrangian
• MHV Lagrangian for N=4 Super Yang-Mills
• Spinor helicity structures in higher spin theories
• Gluon scattering on self-dual radiative gauge fields
• The quintic interaction vertex in light-cone gravity
• A super MHV vertex expansion for N=4 SYM theory
• Review of AdS/CFT Integrability, Chapter V.1: Scattering Amplitudes - a Brief Introduction
• A manifestly MHV Lagrangian for N=4 Yang-Mills
• Integrability and MHV diagrams in N=4 supersymmetric Yang-Mills theory
• One-loop N=8 Supergravity Amplitudes from MHV Diagrams
• Twistor-inspired construction of massive quark amplitudes
• Wilson lines in the MHV action
• The MHV Lagrangian for a spontaneously broken gauge theory
• Gravitation and quadratic forms
• Residual gauge symmetry in light-cone electromagnetism
• A Note on Dual MHV Diagrams in N=4 SYM
• Amplitudes in the N=4 SYM from Quantum Geometry of the Momentum Space
• BMS algebra as an extension of the Poincaré symmetry in light-cone gravity
• On All-loop Integrands of Scattering Amplitudes in Planar N=4 SYM
• Infinite Dimensional Symmetries of Self-Dual Yang-Mills
• Light-cone gravity in AdS${}_4$
• Dimensional Regularization and Dimensional Reduction in the Light Cone
• A new Wilson line-based action for gluodynamics
• Generating MHV super-vertices in light-cone gauge
• Gravity as the square of Yang-Mills: implications for N=8 Supergravity
• S-matrix equivalence restored
• Ehlers symmetry in four dimensions
• Symmetries of the Self-Dual Sector of N=4 Super Yang-Mills on the Light Cone
• Holonomies of gauge fields in twistor space 5: amplitudes of gluons and massive scalars
• Cachazo-Svrcek-Witten Rules for Tree-Level Gluonic Amplitudes Revisited
• Soft factors and interaction vertices from light-cone actions
• Recursive structures in string field theory