Tree-level S matrix of Yang-Mills theory

Radu Roiban, Marcus Spradlin, and Anastasia Volovich
Phys. Rev. D 70, 026009 – Published 30 July 2004
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Abstract

We further investigate the procedure for computing tree-level amplitudes in Yang-Mills theory from connected instantons in the B model on P3|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 nd2 curves) and the soft and collinear gluon poles.

  • Received 18 May 2004

DOI:https://doi.org/10.1103/PhysRevD.70.026009

©2004 American Physical Society

Authors & Affiliations

Radu Roiban

  • Department of Physics, University of California, Santa Barbara, California 93106, USA

Marcus Spradlin and Anastasia Volovich

  • Kavli Institute for Theoretical Physics, Santa Barbara, California 93106, USA

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Vol. 70, Iss. 2 — 15 July 2004

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