Solving gauge theories in 4D: Exact correlation functions from integrability

Our current fundamental understanding of the world is through the Standard Model, which is based on gauge theory. But conventional computational tools are either bound to the weakly coupled regime or have rather limited precision.This project is built upon the unique and novel fundamental structure I found, called the Quantum Spectral Curve. It is based on integrability, and allows one to get exact results in an important class of gauge theories at finite values of the coupling. Using the Quantum Spectral Curve I computed the quarkantiquark potential and found the spectrum of dimensions of all local operators in the planar N=4 Super-Yang-Mills theory. With this formulation, I also obtained new predictions for the high energy scattering amplitudes in QCD.This proposal explains how to use the Quantum Spectral Curve, in combination with the powerful method of separation of variables in integrable systems, to compute all correlation functions. This would imply the solution of a Quantum Field Theory in 4D for the first time.Using integrability in gauge theory has proven to be greatly successful, but equally it requires a broad range of skills, expertise, and human resources. My track record of directing successful research teams, combined with my world-leading expertise of the Quantum Spectral Curve, places me perfectly to deliver this groundbreaking result.