pith. sign in

arxiv: hep-th/9606061 · v1 · submitted 1996-06-11 · ✦ hep-th · hep-ph

The self-dual sector of QCD amplitudes

classification ✦ hep-th hep-ph
keywords actionamplitudesself-dualyang-millstheoryactionsalmostapply
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Self-dual holography: four-point AdS/CFT correlators in higher-spin gravity

    hep-th 2026-05 unverdicted novelty 6.0

    Develops holographic dictionary for self-dual higher-spin theories and computes four-point AdS/CFT correlators in a higher-spin extension of self-dual Yang-Mills.

  2. Amplitudes in self-dual (higher-spin) theories

    hep-th 2026-04 unverdicted novelty 6.0

    All self-dual theories with or without higher-spin fields possess nontrivial tree-level amplitudes in Kleinian or complex Minkowski kinematics, completing the celestial analogue of the higher-spin duality.

  3. Soft Algebras in AdS$_4$ from Light Ray Operators in CFT$_3$

    hep-th 2025-12 unverdicted novelty 6.0

    A conformal map identifies the flat-space soft gluon S-algebra with light-ray operators built from CFT3 currents and their descendants in AdS4.

  4. Dirichlet, Neumann, Mixed and self-dual holography: (self-dual) Yang--Mills theory II

    hep-th 2026-06 unverdicted novelty 4.0

    Derives bulk and boundary propagators and computes 3- and 4-point correlators for YM, CS and SDYM in AdS/CFT with multiple boundary conditions to relate their observables.