nLab MHV amplitude

Idea

Certain scattering amplitudes in N=4 D=4 super Yang-Mills theory and neighbouring gauge theories – called maximally helicity violating amplitudes (“MHV amplitudes”) simplify drastically as compared to the generic situation and in fact are controled by a certain twistor string theory whose target space is a twistor space. See (Monteiro) for a review.

References

• Gustavo Machado Monteiro, MHV tree amplitudes in Super-Yang-Mills and in Superstring Theory (2010) (pdf)
• Edward Witten, Perturbative gauge theory as a string theory in twistor space, Commun. Math. Phys. 252 (2004) 189-258 [arXiv:hep-th/0312171]

A light-cone QCD–Lagrangian density adapted to MHV -amplitudes:

• Hiren Kakkad, Piotr Kotko, Anna Stasto, Quantum correction to a new Wilson line-based action for Gluodynamics [arXiv:2311.04101]