/ 05 10 26 2 v 1 3 1 O ct 2 00 5 An ambitwistor Yang - Mills Lagrangian
نویسندگان
چکیده
We introduce a Chern-Simons Lagrangian for Yang-Mills theory as formulated on am-bitwistor space via the Ward, Isenberg, Yasskin, Green, Witten construction. The La-grangian requires the selection of a codimension-2 Cauchy-Riemann submanifold which is naturally picked out by the choice of space-time reality structure and we focus on the choice of Euclidean signature. The action is shown to give rise to a space-time action that is equivalent to the standard one, but has just cubic vertices. We identify the ambitwistor propagators and vertices and work out their corresponding expressions on space-time and momentum space. It is proposed that this formulation of Yang-Mills theory underlies the re-cursion relations of Britto, Cachazo, Feng and Witten and provides the generating principle for twistor diagrams for gauge theory.
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