A cubic action for self-dual Yang-Mills

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1016/0370-2693(92)91773-3

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.

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