- There's a wonderful new result from Kevin Costello that he talks about here. A central part of our understanding of the Standard Model is the computation of the beta-function of QCD. The beta-function determines the running of the effective strong coupling with energy, and this has been convincingly tested in many processes over a wide range of energy scales.
The usual way of calculating this is a Feynman diagram calculation that can be found in any QFT textbook that shows how to do calculations in gauge theory. Costello explains how to get the result in a very different way, using the self-dual theory, twistor space, and the Grothendieck-Riemann-Roch theorem.
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