Tree-level S 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 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 n-d-2 curves) and the soft and collinear gluon poles.
- Publication:
-
Physical Review D
- Pub Date:
- July 2004
- DOI:
- 10.1103/PhysRevD.70.026009
- arXiv:
- arXiv:hep-th/0403190
- Bibcode:
- 2004PhRvD..70b6009R
- Keywords:
-
- 11.25.Hf;
- Conformal field theory algebraic structures;
- High Energy Physics - Theory;
- High Energy Physics - Phenomenology
- E-Print:
- 20 pages, 2 figures, harvmac. v2: proof of parity symmetry added