Objective Quantum field theory forms the foundation of our understanding of elementary particle physics. It provides the theoretical background for the interpretation of data from collider experiments. While quantum field theory is an old subject, over the last decade new features have begun to emerge which reveal new ways to understand it. In particular an astonishing simplicity has been found at the heart of the maximally supersymmetric gauge theory in four spacetime dimensions, a close cousin of Quantum Chromodynamics (QCD), which describes the strong interactions.My research team will use the new methods I have been developing to construct explicit results for scattering amplitudes and correlation functions. We will develop these results into general statements about the analytic behaviour of scattering amplitudes. The approach will be based on my recent work on new dualities between amplitudes and Wilson loops and on new symmetries revealing an underlying integrable structure. This research will allow us to answer key foundational questions such as the origin of Regge behaviour of scattering amplitudes in the high energy limit, and the connection to string theory in the limit of strong coupling. We will also pursue the connection to quantum groups and formulate the problem of scattering amplitudes in this language. This provide a solid mathematical underpinning to the formulation of the scattering problem in quantum field theories and allow application of techniques from the field of integrable systems to gauge theories. An enormous effort goes into performing the calculations of scattering amplitudes needed to make precise predictions for collider experiments. New techniques to handle such calculations are much needed. We will develop new tools, such as the application of differential equation methods for loop integrals and analytic bootstrap methods for amplitudes. This research will allow us to greatly improve on existing efforts to calculate processes in QCD. Fields of science natural sciencesphysical sciencestheoretical physicsparticle physicsparticle acceleratornatural sciencesmathematicspure mathematicsmathematical analysisdifferential equationsnatural sciencesphysical sciencesquantum physicsquantum field theorynatural sciencesmathematicspure mathematicsalgebranatural sciencesphysical sciencestheoretical physicsstring theory Programme(s) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Topic(s) ERC-CoG-2014 - ERC Consolidator Grant Call for proposal ERC-2014-CoG See other projects for this call Funding Scheme ERC-COG - Consolidator Grant Host institution UNIVERSITY OF SOUTHAMPTON Net EU contribution € 1 992 452,00 Address Highfield SO17 1BJ Southampton United Kingdom See on map Region South East (England) Hampshire and Isle of Wight Southampton Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 1 992 452,00 Beneficiaries (1) Sort alphabetically Sort by Net EU contribution Expand all Collapse all UNIVERSITY OF SOUTHAMPTON United Kingdom Net EU contribution € 1 992 452,00 Address Highfield SO17 1BJ Southampton See on map Region South East (England) Hampshire and Isle of Wight Southampton Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 1 992 452,00