On the tree level S matrix of Yang-Mills theory

By R. Roiban, M. Spradlin, A. Volovich. 2004

281 citations recorded by the source corpus.

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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/380560caec8ebab002fe8dc034bd3e10afa9364e

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In Nuclear and High Energy Physics

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4. Song He
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6. Tim Adamo
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Citations in the corpus

• Scattering forms and the positive geometry of kinematics, color and the worldsheet (2017, methodology): “We know that the scattering equations and the CHY formula for gluon amplitudes transition smoothly in four-dimensional spacetime to the Roiban-Spradlin-Volovich (RSV) equations and the twistor-string formulas for N = 4 SYM scattering amplitudes [64].”
• Non-MHV Tree Amplitudes in Gauge Theory (2004, background): “The results of [2, 1] have been tested and further developed in gauge theory in [3, 4, 5, 6, 7], and in string theory and supergravity in [8, 9, 10, 11, 12, 13, 14, 15, 16].”
• Conformal Supergravity in Twistor-String Theory (2004, background): “9 We consider only connected instantons; it has become reasonably clear [ 19 ] that the full”
• MHV vertices and fermionic scattering amplitudes in gauge theory with quarks and gluinos (2004, methodology): “In two previous works [12, 13] (for recent works, see [14, 15 , 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30]), by following the new approach of [3], we have computed the generic gluon googly amplitudes and discussed briefly how the CSW approach can be extended to theories with fermio”
• Unification of residues and Grassmannian dualities (2009, background): “The resulting object can be easily recognized as the connected prescription [23] for Witten’s twistor string theory [24] (see also [25–38]; for a review, see [39]); indeed this discussion can be thought of as a physical motivation for and derivation of this theory from the Grassmannian viewpoint.”
• Scattering equations and Kawai-Lewellen-Tye orthogonality (2013, methodology): “In four dimensions, KLT orthogonality was crucial for constructing a formula for gravity amplitudes from rational maps starting with the Witten-RSV formula [1, 2] for gauge theory amplitudes [3].”
• One-loop gauge theory amplitudes in N=4 super Yang-Mills from MHV vertices (2004, unknown): “1{a.brandhuber, w.j.spence, g.travaglini}@qmul.ac.uk”