PHYSICS DISSERTATION DEFENSE: Andy Yu-Ting Liu
Ph.D. Candidate: Andy Yu-Ting Liu
Research Advisor: Lance Dixon
Date: May 30 2023
Location: PAB 214
Zoom Link: https://stanford.zoom.us/j/91945667431
Zoom Password: email nickswan [at] stanford.edu for password.
Title: Bootstrapping Scattering Amplitudes in N=4 Super-Yang-Mills Theory
Abstract: Scattering amplitudes are a bridge between theory and measurable quantities in high energy particle experiments, such as cross sections of scattering processes. Traditionally, scattering amplitudes are calculated using Feynman diagrams. However, their computational complexity grows dramatically as one tries to calculate higher-order corrections. Recently, a new method, the amplitude bootstrap, has arisen, that aims to bypass Feynman diagrams and compute scattering amplitudes directly by using knowledge of the mathematical structures describing amplitudes. In this talk, I will present new developments in the bootstrap techniques, focusing on their application in a toy model, N=4 Super-Yang-Mills Theory. I will also present some recently discovered hidden structures of amplitudes in the same theory. In particular, I will present a newly conjectured symmetry and duality of amplitudes.