English

A cubic action for self-dual Yang-Mills

High Energy Physics - Theory 2009-10-22 v2

Abstract

We make a change of field variables in the J formulation of self-dual Yang--Mills theory. The field equations for the resulting algebra valued field are derivable from a simple cubic action. The cubic interaction vertex is different from that considered previously from the N=2 string, however, perturbation theory with this action shows that the only non-vanishing connected scattering amplitude is for three external particles just as for the string.

Keywords

Cite

@article{arxiv.hep-th/9203074,
  title  = {A cubic action for self-dual Yang-Mills},
  author = {Andrew Parkes},
  journal= {arXiv preprint arXiv:hep-th/9203074},
  year   = {2009}
}

Comments

12 pages (A few references and extra comments added for the sake of completeness, but nothing major changed)

R2 v1 2026-07-22T15:42:39.968Z