Numerical Solution of the Spectral Problem and BFKL at Next-to-Next-to-Leading Order in N=4 SYM

by Fedor Levkovich (King's College London)

Thursday 22 Oct 2015, 14:15 → 15:15 Europe/Berlin

Seminar Room 2 (DESY, building 2a)

I will present a simple numerical method based on the Quantum Spectral Curve in N=4 planar supersymmetric Yang-Mills theory. It allows for the first time to obtain the exact spectrum of a non-trivial interacting QFT in 4d with almost unlimited precision. I will show examples with 80 digits accuracy and explore numerically the rich cut structure for twist operators with complexified spin. The method also gives new data for the generalized quark-antiquark potential in a wide range of the coupling. Inspired by these numerical results a new analytic method will be presented which gives a systematic weak coupling expansion for any operator, and leads to a new analytic result for the BFKL eigenvalue at next-to-next-to-leading order.