An ambitwistor Yang-Mills Lagrangian Export

@article{citeulike:4238596, abstract = {We introduce a Chern-Simons Lagrangian for Yang-Mills theory as formulated on ambitwistor space via the Ward, Isenberg, Yasskin, Green, Witten construction. The Lagrangian 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 recursion relations of Britto, Cachazo, Feng and Witten and provides the generating principle for twistor diagrams for gauge theory.}, archivePrefix = {arXiv}, author = {Mason, L. J. and Skinner, D.}, citeulike-article-id = {4238596}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/0510262}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/0510262}, day = {31}, eprint = {hep-th/0510262}, keywords = {ambitwistors, chern-simons, twistors, yang-mills}, month = {Oct}, posted-at = {2009-03-31 04:54:45}, priority = {2}, title = {An ambitwistor Yang-Mills Lagrangian}, url = {http://arxiv.org/abs/hep-th/0510262}, year = {2005} }

TY - JOUR ID - citeulike:4238596 L3 - citeulike-article-id:4238596 N2 - We introduce a Chern-Simons Lagrangian for Yang-Mills theory as formulated on ambitwistor space via the Ward, Isenberg, Yasskin, Green, Witten construction. The Lagrangian 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 recursion relations of Britto, Cachazo, Feng and Witten and provides the generating principle for twistor diagrams for gauge theory. TI - An ambitwistor Yang-Mills Lagrangian KW - ambitwistors KW - chern-simons KW - twistors KW - yang-mills AU - Mason, LJ AU - Skinner, D PY - 2005/Oct/31/ UR - http://arxiv.org/abs/hep-th/0510262 ER -