MHV Lagrangian for N=4 Super Yang-Mills

Abstract

Here we formulate two field redefinitions for N=4 Super Yang-Mills in light cone superspace that generates only MHV vertices in the new Lagrangian. After careful consideration of the S-matrix equivalence theorem, we see that only the canonical transformation gives the MHV Lagrangian that would correspond to the CSW expansion. Being in superspace, it is easier to analyse the equivalence theorem at loop level. We calculate the on shell amplitude for 4pt $(\bar{\Lambda }\bar{\mathrm{A}}\Lambda \mathrm{A})$ MHV in the new lagrangian and show that it reproduces the previously known form. We also briefly discuss the relationship with the off-shell continuation prescription of CSW.

17 pages 4 figures, 2 sections and several references added typo corrected

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Cited by in corpus (24)

• Gravity as the Square of Gauge Theory
• The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
• Basics of Generalized Unitarity
• On-shell constructibility of tree amplitudes in general field theories
• Generic multiloop methods and application to N=4 super-Yang-Mills
• Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory
• Gauge and Gravity Amplitude Relations
• On the Structure of Supersymmetric Sums in Multi-Loop Unitarity Cuts
• The Six-Point NMHV amplitude in Maximally Supersymmetric Yang-Mills Theory
• A First Course on Twistors, Integrability and Gluon Scattering Amplitudes
• Amplitudes in Pure Yang-Mills and MHV Diagrams
• Tree-Level Formalism
• 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
• Exploring straight infinite Wilson lines in the Self Dual and the MHV Lagrangians
• A new Wilson line-based action for gluodynamics
• Generating MHV super-vertices in light-cone gauge
• One-Loop Effective Action Approach to Quantum MHV Theory
• Symmetries of the Self-Dual Sector of N=4 Super Yang-Mills on the Light Cone
• Supersums for all supersymmetric amplitudes
• Cachazo-Svrcek-Witten Rules for Tree-Level Gluonic Amplitudes Revisited
• Bilocal phase operators in beta-deformed super Yang-Mills
• Symmetries of Self-Dual Yang-Mills Equations Dimensionally Reduced From (2,2) Space-time