Tree-level<i>S</i>matrix of Yang-Mills theory

Abstract

We further investigate the procedure for computing tree-level amplitudes in Yang-Mills theory from connected instantons in the B model on ${P}^{3|4},$ emphasizing that the problem of calculating Feynman diagrams is recast into the problem of finding solutions to a certain set of algebraic equations. We show that the B model correctly reproduces all 6-particle amplitudes, including non-MHV amplitudes with three negative and three positive helicity gluons. As a further check, we also show that n-particle amplitudes obtained from the B model obey a number of properties required of gauge theory, such as parity symmetry (which relates an integral over degree d curves to one over degree $n\ensuremath{-}d\ensuremath{-}2$ curves) and the soft and collinear gluon poles.