A cubic action for self-dual Yang-Mills

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.

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

References in corpus (1)

• On N=2 strings and classical scattering solutions of self-dual Yang-Mills in (2,2) spacetime

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