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Gunnar_Zarncke comments on The ongoing transformation of quantum field theory - Less Wrong Discussion
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An article about the underlying math with a very accessible introduction (using lots of illustrative graphs) can be found on Arxiv:
"Scattering Amplitudes and the Positive Grassmannian" by N. Arkani-Hameda at al http://arxiv.org/pdf/1212.5605v1.pdf