Tree-level S matrix of Yang-Mills theory

Radu Roiban, Marcus Spradlin, Anastasia Volovich

Research output: Contribution to journalArticlepeer-review

218 Scopus citations


We further investigate the procedure for computing tree-level amplitudes in Yang-Mills theory from connected instantons in the B model on [Formula Presented] 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 [Formula Presented] curves) and the soft and collinear gluon poles.

Original languageEnglish (US)
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number2
StatePublished - 2004

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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