On the Tree-Level S-Matrix of Yang-Mills Theory

Details On the Tree-Level S-Matrix of Yang-Mills Theory On the Tree-Level S-Matrix of Yang-Mills Theory

2004-03-19

arxiv.org/abs/hep-th/0403190v2

Phys.Rev.D70:026009,2004

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 2 figures, harvmac. v2: proof of parity symmetry added

Scientific paper

10.1103/PhysRevD.70.026009

In this note 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-d-2 curves) and the soft and collinear gluon poles.

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