Self-dual sector of QCD amplitudes

1996/06/11 by Gordon Chalmers, G. Chalmers, Warren Siegel +1 · 11 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.54.7628

published as Phys.Rev. D54 (1996) 7628-7633 · 15 pg., plain tex, other formats available at http://insti.physics.sunysb.edu/~siegel/preprints/ or at ftp://max.physics.sunysb.edu/preprints/siegel

arxiv created 1996/06/11 · openalex publication_date 1996/12/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide an action for self-dual Yang-Mills theory which is a simple truncation of the usual Yang-Mills action. Only vertices that violate helicity conservation maximally are included. One-loop amplitudes in the self-dual theory then follow as a subset of the Yang-Mills ones. In light-cone gauges this action is almost identical to previously proposed actions, but in this formulation the vanishing of all higher-loop amplitudes is obvious; the explicit perturbative S-matrix is known. Similar results apply to gravity.

Citations

• Self-dualN=8supergravity as closedN=2(4)strings
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• N=4 string is the same as theN=2 string
• The N = 2 open string
• A cubic action for self-dual Yang-Mills

Cited by

• A unified approach to the AKNS, DNLS, KP and mKP hierarchies in the anti-self-dual Yang-Mills reduction
• Colour-Kinematics duality for one-loop rational amplitudes
• From Yang-Mills lagrangian to MHV diagrams
• Path-Integral Quantization of the (2,2) String
• Maximally helicity-violating diagrams in twistor space and the twistor action
• Exploring straight infinite Wilson lines in the self-dual and the MHV Lagrangians
• The dimension-shift conjecture for one-loop amplitudes
• Topological M-theory as unification of form theories of gravity
• A twistor space action for Yang-Mills theory
• Self-dual gravity
• Multi-leg one-loop gravity amplitudes from gauge theory