Scattering amplitudes and Wilson loops in twistor space

By Tim Adamo, Mathew Bullimore, L. Mason, David Skinner. 2011

151 citations recorded by the source corpus.

This paper reviews the recent progress in twistor approaches to Wilson loops, amplitudes and their duality for super-Yang–Mills. Wilson loops and amplitudes are derived from first principles using the twistor action for maximally supersymmetric Yang–Mills theory. We start by deriving the MHV rules for gauge theory amplitudes from the twistor action in an axial gauge in twistor space, and show that this gives rise to the original momentum space version given by Cachazo, Svrček and Witten. We then go on to obtain from these the construction of the momentum twistor space loop integrand using (planar) MHV rules and show how it arises as the expectation value of a holomorphic Wilson loop in twistor space. We explain the connection between the holomorphic Wilson loop and certain light-cone limits of correlation functions. We give a brief review of other ideas in connection with amplitudes in twistor space: twistor-strings, recursion in twistor space, the Grassmannian residue formula for leading singularities and amplitudes as polytopes. This paper is an invited review for a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Scattering amplitudes in gauge theories’.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/16f64a6489e3c950b9f0d604b22ce4359c8e00f0

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In Nuclear and High Energy Physics

1. M. Spradlin
2. G. Papathanasiou
3. L. Dixon
4. M. Hippel
5. J. Drummond
6. S. Caron-Huot
7. Claude Duhr
8. F. Cachazo

Citations in the corpus

• Bootstrapping an NMHV amplitude through three loops (2014, background): “Many of the more powerful approaches toN = 4 supersymmetric scattering amplitudes compute the loop integrand of the theory [1–3, 5, 9, 10, 17–20].”
• Ambitwistor strings and the scattering equations at one loop (2013, unknown): “[10, 14])”
• A symbol of uniqueness: the cluster bootstrap for the 3-loop MHV heptagon (2014, background): “Finally, the extension of dual conformal symmetry to dual superconformal symmetry [54], is expressed via the super-Wilson-loop correspondence [55, 56, 57] in terms of recursive differential equations [58, 59] which imply certain universal constraints on the total derivative of the remainder function”