A worldsheet description of planar Yang–Mills theory Original Research Article

We extend previous work by developing a worldsheet description of non-Abelian gauge theory (Yang–Mills). This task requires the introduction of Grassmann variables on the world sheet analogous to those of the Neveu–Schwarz–Ramond formulation of string theory. A highlight of our construction is that once the three gluon vertices of Yang–Mills Feynman diagrams are given a worldsheet description, the worldsheet formalism automatically produces all of the quartic vertices.