Perturbative Gauge Theory as a String Theory in Twistor Space

@article{Witten2003PerturbativeGT,
  title={Perturbative Gauge Theory as a String Theory in Twistor Space},
  author={Edward Witten},
  journal={Communications in Mathematical Physics},
  year={2003},
  volume={252},
  pages={189-258}
}
  • E. Witten
  • Published 15 December 2003
  • Mathematics, Physics
  • Communications in Mathematical Physics
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 transform the scattering amplitudes from momentum space to twistor space, and argue that the transformed amplitudes are supported on certain holomorphic curves. This in turn is apparently a consequence of an equivalence between the perturbative expansion of = 4 super Yang-Mills theory and the D… 

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