Project acronym CutLoops
Project Loop amplitudes in quantum field theory
Researcher (PI) Ruth Britto
Host Institution (HI) THE PROVOST, FELLOWS, FOUNDATION SCHOLARS & THE OTHER MEMBERS OF BOARD, OF THE COLLEGE OF THE HOLY & UNDIVIDED TRINITY OF QUEEN ELIZABETH NEAR DUBLIN
Country Ireland
Call Details Consolidator Grant (CoG), PE2, ERC-2014-CoG
Summary The traditional formulation of relativistic quantum theory is ill-equipped to handle the range of difficult computations needed to describe particle collisions at the Large Hadron Collider (LHC) within a suitable time frame. Yet, recent work shows that probability amplitudes in quantum gauge field theories, such as those describing the Standard Model and its extensions, take surprisingly simple forms. The simplicity indicates deep structure in gauge theory that has already led to dramatic computational improvements, but remains to be fully understood. For precision calculations and investigations of the deep structure of gauge theory, a comprehensive method for computing multi-loop amplitudes systematically and efficiently must be found.
The goal of this proposal is to construct a new and complete approach to computing amplitudes from a detailed understanding of their singularities, based on prior successes of so-called on-shell methods combined with the latest developments in the mathematics of Feynman integrals. Scattering processes relevant to the LHC and to formal investigations of quantum field theory will be computed within the new framework.
Summary
The traditional formulation of relativistic quantum theory is ill-equipped to handle the range of difficult computations needed to describe particle collisions at the Large Hadron Collider (LHC) within a suitable time frame. Yet, recent work shows that probability amplitudes in quantum gauge field theories, such as those describing the Standard Model and its extensions, take surprisingly simple forms. The simplicity indicates deep structure in gauge theory that has already led to dramatic computational improvements, but remains to be fully understood. For precision calculations and investigations of the deep structure of gauge theory, a comprehensive method for computing multi-loop amplitudes systematically and efficiently must be found.
The goal of this proposal is to construct a new and complete approach to computing amplitudes from a detailed understanding of their singularities, based on prior successes of so-called on-shell methods combined with the latest developments in the mathematics of Feynman integrals. Scattering processes relevant to the LHC and to formal investigations of quantum field theory will be computed within the new framework.
Max ERC Funding
1 954 065 €
Duration
Start date: 2015-10-01, End date: 2021-08-31
Project acronym MULTIWAVE
Project Multidisciplinary Studies of Extreme and Rogue Wave Phenomena
Researcher (PI) Frederic Dias
Host Institution (HI) UNIVERSITY COLLEGE DUBLIN, NATIONAL UNIVERSITY OF IRELAND, DUBLIN
Country Ireland
Call Details Advanced Grant (AdG), PE2, ERC-2011-ADG_20110209
Summary MULTIWAVE is an interdisciplinary project at the frontiers of mathematics, physics and engineering which will explore important open questions in nonlinear wave propagation and the emergence of extreme events. The work necessitates a Co-Investigator approach in order to carry out coordinated analytical, numerical and experimental studies of the nonlinear effects that form the subject of the proposal. The project builds on recent international developments in the field of nonlinear waves led by the co-investigators that have shown how analogies between optical systems and the deep ocean provide new insights into the generation of the infamous hydrodynamic rogue waves on the ocean. These results, which have led to the first experimental confirmation in 2010 of analytic predictions of hydrodynamics that have remained untested for 25 years, have now opened up the possibility for an optical system to directly study the dynamics and statistics of extreme nonlinear wave shaping. This is a tremendous advance comparable to the introduction of optical systems to study chaos in the 1970s, and the co-investigators aim to be at the forefront of this research effort. Core theoretical elements in the project will uncover the fundamental mechanisms underlying the emergence of large scale coherent structures from a turbulent environment, and resolve basic questions of energy transport in the presence of nonlinearity. These analytical studies will be complemented by numerical simulations and laboratory experiments in optical systems. Specifically, recent advances in optical technology will enable the benchtop development of an “optical wave tank” that will accurately simulate multiple propagation scenarios in hydrodynamics and ocean systems. Emphasis will be placed on extreme rogue wave events which are difficult or even impossible to study quantitatively in their natural oceanic environment.
Summary
MULTIWAVE is an interdisciplinary project at the frontiers of mathematics, physics and engineering which will explore important open questions in nonlinear wave propagation and the emergence of extreme events. The work necessitates a Co-Investigator approach in order to carry out coordinated analytical, numerical and experimental studies of the nonlinear effects that form the subject of the proposal. The project builds on recent international developments in the field of nonlinear waves led by the co-investigators that have shown how analogies between optical systems and the deep ocean provide new insights into the generation of the infamous hydrodynamic rogue waves on the ocean. These results, which have led to the first experimental confirmation in 2010 of analytic predictions of hydrodynamics that have remained untested for 25 years, have now opened up the possibility for an optical system to directly study the dynamics and statistics of extreme nonlinear wave shaping. This is a tremendous advance comparable to the introduction of optical systems to study chaos in the 1970s, and the co-investigators aim to be at the forefront of this research effort. Core theoretical elements in the project will uncover the fundamental mechanisms underlying the emergence of large scale coherent structures from a turbulent environment, and resolve basic questions of energy transport in the presence of nonlinearity. These analytical studies will be complemented by numerical simulations and laboratory experiments in optical systems. Specifically, recent advances in optical technology will enable the benchtop development of an “optical wave tank” that will accurately simulate multiple propagation scenarios in hydrodynamics and ocean systems. Emphasis will be placed on extreme rogue wave events which are difficult or even impossible to study quantitatively in their natural oceanic environment.
Max ERC Funding
1 831 800 €
Duration
Start date: 2012-04-01, End date: 2016-09-30
