A CUBIC ACTION FOR SELF-DUAL YANG-MILLS

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 form 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.