On the tree level S matrix of Yang-Mills theory

@article{Roiban2004OnTT,
  title={On the tree level S matrix of Yang-Mills theory},
  author={Radu Roiban and Marcus Spradlin and Anastasia Volovich},
  journal={Physical Review D},
  year={2004},
  pages={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… 

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References

SHOWING 1-10 OF 17 REFERENCES

A Googly amplitude from the B model in twistor space

Recently it has been proposed that gluon scattering amplitudes in gauge theory can be computed from the D-instanton expansion of the topological B-model on 3|4, although only maximally helicity

N=2 strings and the twistorial Calabi-Yau

We interpret the A and B model topological strings on CP^{3|4} as equivalent to open N=2 string theory on spacetime with signature (2,2), when covariantized with respect to SO(2,2) and

Duality and Multi - Gluon Scattering

Alternative string theory in twistor space for N=4 super-Yang-Mills theory

In this letter, an alternative string theory in twistor space is proposed for describing perturbative N=4 super-Yang-Mills theory. Like the recent proposal of Witten, this string theory uses twistor

An Alternative String Theory in Twistor Space for N=4 Super-yang-mills

In this letter, an alternative string theory in twistor space is proposed for describing perturbative N=4 super-Yang-Mills theory. Like the recent proposal of Witten, this string theory uses twistor

MHV vertices and tree amplitudes in gauge theory

As an alternative to the usual Feynman graphs, tree amplitudes in Yang-Mills theory can be constructed from tree graphs in which the vertices are tree level MHV scattering amplitudes, continued off

Perturbative Gauge Theory as a String Theory in Twistor Space

Perturbative scattering amplitudes in Yang-Mills theory have many unexpected properties, such as holomorphy of the maximally helicity violating amplitudes. To interpret these results, we Fourier

Cubic twistorial string field theory

Witten has recently proposed a string theory in twistor space whose D-instanton contributions are conjectured to compute = 4 super-Yang-Mills scattering amplitudes. An alternative string theory in

The googly amplitudes in gauge theory

The googly amplitudes in gauge theory are computed by using the off shell MHV vertices with the newly proposed rules of Cachazo, Svrcek and Witten. The result is in agreement with the previously

S-duality and topological strings

In this paper we show how S-duality of type-IIB superstrings leads to an S-duality relating A- and B-model topological strings on the same Calabi-Yau as had been conjectured recently: D-instantons of